-
3
-
-
0003810939
-
-
in: R. Ansorge (Ed.), Dietrich Reimer Verlag, Hamburg, chao-dyn/9402001
-
F. Steiner, in: R. Ansorge (Ed.), Quantum Chaos, Dietrich Reimer Verlag, Hamburg, 1994, chao-dyn/9402001.
-
(1994)
Quantum Chaos
-
-
Steiner, F.1
-
4
-
-
0022387801
-
Semiclassical mechanics
-
Keller J.B. Semiclassical mechanics. SIAM Rev. 27:1985;485-504.
-
(1985)
SIAM Rev.
, vol.27
, pp. 485-504
-
-
Keller, J.B.1
-
6
-
-
0001397592
-
Periodic orbits and classical quantization conditions
-
Gutzwiller M.C. Periodic orbits and classical quantization conditions. J. Math. Phys. 12:1971;343-358.
-
(1971)
J. Math. Phys.
, vol.12
, pp. 343-358
-
-
Gutzwiller, M.C.1
-
7
-
-
0001934538
-
Distribution of eigenfrequencies for the wave equation in a finite domain: III. Eigenfrequency density oscillations
-
R. Balian, C. Bloch, Distribution of eigenfrequencies for the wave equation in a finite domain: III. Eigenfrequency density oscillations, Ann. Phys. (N.Y.) 69 (1972) 76-160 *.
-
(1972)
Ann. Phys. (N.Y.)
, vol.69
, pp. 76-160
-
-
Balian, R.1
Bloch, C.2
-
8
-
-
0001291754
-
Closed orbits and the regular bound spectrum
-
Berry M.V., Tabor M. Closed orbits and the regular bound spectrum. Proc. Roy. Soc. Lond. A. 349:1976;101-123.
-
(1976)
Proc. Roy. Soc. Lond. A
, vol.349
, pp. 101-123
-
-
Berry, M.V.1
Tabor, M.2
-
9
-
-
0002350116
-
Harmonic analysis and discontinuous groups in weakly symmetric spaces with applications to Dirichlet series
-
Selberg A. Harmonic analysis and discontinuous groups in weakly symmetric spaces with applications to Dirichlet series. J. Ind. Math. Soc. 20:1956;47-87.
-
(1956)
J. Ind. Math. Soc.
, vol.20
, pp. 47-87
-
-
Selberg, A.1
-
10
-
-
0001547282
-
Fractal properties of scattering singularities
-
Eckhardt B. Fractal properties of scattering singularities. J. Phys. A. 20:1987;5971-5979.
-
(1987)
J. Phys. A
, vol.20
, pp. 5971-5979
-
-
Eckhardt, B.1
-
11
-
-
36549101751
-
Scattering from a classically chaotic repellor
-
Gaspard P., Rice S.A. Scattering from a classically chaotic repellor. J. Chem. Phys. 90:1989;2225-2241.
-
(1989)
J. Chem. Phys.
, vol.90
, pp. 2225-2241
-
-
Gaspard, P.1
Rice, S.A.2
-
12
-
-
36549094784
-
Semiclassical quantization of the scattering from a classically chaotic repellor
-
Gaspard P., Rice S.A. Semiclassical quantization of the scattering from a classically chaotic repellor. J. Chem. Phys. 90:1989;2242-2254.
-
(1989)
J. Chem. Phys.
, vol.90
, pp. 2242-2254
-
-
Gaspard, P.1
Rice, S.A.2
-
13
-
-
36549103891
-
Exact quantization of the scattering from a classically chaotic repellor
-
P. Gaspard, S.A. Rice, Exact quantization of the scattering from a classically chaotic repellor, J. Chem. Phys. 90 (1989) 2255-2262 ***.
-
(1989)
J. Chem. Phys.
, vol.90
, pp. 2255-2262
-
-
Gaspard, P.1
Rice, S.A.2
-
14
-
-
0000902360
-
Periodic-orbit quantization of chaotic systems
-
Cvitanović P., Eckhardt B. Periodic-orbit quantization of chaotic systems. Phys. Rev. Lett. 63:1989;823-826.
-
(1989)
Phys. Rev. Lett.
, vol.63
, pp. 823-826
-
-
Cvitanović, P.1
Eckhardt, B.2
-
15
-
-
0001640940
-
Pinball scattering
-
in: G. Casati, B. Chirikov (Eds.), Cambridge University Press, Cambridge
-
B. Eckhardt, G. Russberg, P. Cvitanović, P.E. Rosenqvist, P. Scherer, Pinball scattering, in: G. Casati, B. Chirikov (Eds.), Quantum Chaos between Order and Disorder, Cambridge University Press, Cambridge, 1995, pp. 405-433 ***.
-
(1995)
Quantum Chaos between Order and Disorder
, pp. 405-433
-
-
Eckhardt, B.1
Russberg, G.2
Cvitanović, P.3
Rosenqvist, P.E.4
Scherer, P.5
-
16
-
-
0042589317
-
-
See the Chaos focus issue on periodic orbit theory
-
See the Chaos focus issue on periodic orbit theory, Chaos 2 (1992).
-
(1992)
Chaos
, vol.2
-
-
-
17
-
-
0039328281
-
-
Ph.D. thesis, Univ. Köln; Berichte des Forschungzentrums Jülich 2554, ISSN 0366-0885, Jülich, Nov.
-
P. Scherer, Quantenzustände eines klassisch chaotischen Billards, Ph.D. thesis, Univ. Köln; Berichte des Forschungzentrums Jülich 2554, ISSN 0366-0885, Jülich, Nov. 1991.
-
(1991)
Quantenzustände Eines Klassisch Chaotischen Billards
-
-
Scherer, P.1
-
18
-
-
0000549680
-
Invariant measurement of strange sets in terms of cycles
-
Cvitanović P. Invariant measurement of strange sets in terms of cycles. Phys. Rev. Lett. 61:1988;2729-2733.
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 2729-2733
-
-
Cvitanović, P.1
-
19
-
-
0039966926
-
Recycling of strange sets: I. Cycle expansions
-
Artuso R., Aurell E., Cvitanović P. Recycling of strange sets: I. Cycle expansions. Nonlinearity. 3:1990;325-359.
-
(1990)
Nonlinearity
, vol.3
, pp. 325-359
-
-
Artuso, R.1
Aurell, E.2
Cvitanović, P.3
-
20
-
-
0009129211
-
A rule for quantizing chaos?
-
Berry M.V., Keating J.P. A rule for quantizing chaos? J. Phys. A. 23:1990;4839-4849.
-
(1990)
J. Phys. A
, vol.23
, pp. 4839-4849
-
-
Berry, M.V.1
Keating, J.P.2
-
21
-
-
0000139548
-
A new asymptotic representation for ζ(12+it) and quantum spectral determinants
-
Berry M.V., Keating J.P. A new asymptotic representation for. ζ( 1 2 +it) and quantum spectral determinants Proc. Roy. Soc. Lond. A. 437:1992;151-173.
-
(1992)
Proc. Roy. Soc. Lond. A
, vol.437
, pp. 151-173
-
-
Berry, M.V.1
Keating, J.P.2
-
22
-
-
0001458986
-
Semiclassical quantization of multidimensional systems
-
Bogomolny E.B. Semiclassical quantization of multidimensional systems. Nonlinearity. 5:1992;805-866.
-
(1992)
Nonlinearity
, vol.5
, pp. 805-866
-
-
Bogomolny, E.B.1
-
23
-
-
0001987512
-
On dynamical zeta function
-
Bogomolny E.B. On dynamical zeta function. Chaos. 2:1992;5-13.
-
(1992)
Chaos
, vol.2
, pp. 5-13
-
-
Bogomolny, E.B.1
-
24
-
-
0000334818
-
Inside-outside duality for planar billiards: A numerical study
-
B. Dietz, J.-P. Eckmann, C.-A. Pillet, U. Smilansky, I. Ussishkin, Inside-outside duality for planar billiards: a numerical study, Phys. Rev. E 51 (1995) 4222-4231.
-
(1995)
Phys. Rev. E
, vol.51
, pp. 4222-4231
-
-
Dietz, B.1
Eckmann, J.-P.2
Pillet, C.-A.3
Smilansky, U.4
Ussishkin, I.5
-
25
-
-
0000342995
-
Generalized periodic-orbit sum rules for strongly chaotic systems
-
Sieber M., Steiner F. Generalized periodic-orbit sum rules for strongly chaotic systems. Phys. Lett. A. 144:1990;159-163.
-
(1990)
Phys. Lett. a
, vol.144
, pp. 159-163
-
-
Sieber, M.1
Steiner, F.2
-
26
-
-
0030295551
-
Exploring periodic orbit expansions and renormalisation with the quantum triangular billiard
-
Pisani C. Exploring periodic orbit expansions and renormalisation with the quantum triangular billiard. Ann. Phys. 251:1996;208-265.
-
(1996)
Ann. Phys.
, vol.251
, pp. 208-265
-
-
Pisani, C.1
-
27
-
-
0000975990
-
Exact and quasiclassical Fredholm solutions of quantum billiards
-
B. Georgeot, R.E. Prange, Exact and quasiclassical Fredholm solutions of quantum billiards, Phys. Rev. Lett. 74 (1995) 2851-2854; Fredholm theory for quasiclassical scattering, Phys. Rev. Lett. 74 (1995) 4110-4113; S. Fishman, B. Georgeot, R.E. Prange, Fredholm method for scars, J. Phys. A 29 (1996) 919-937.
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 2851-2854
-
-
Georgeot, B.1
Prange, R.E.2
-
28
-
-
4243961043
-
Fredholm theory for quasiclassical scattering
-
B. Georgeot, R.E. Prange, Exact and quasiclassical Fredholm solutions of quantum billiards, Phys. Rev. Lett. 74 (1995) 2851-2854; Fredholm theory for quasiclassical scattering, Phys. Rev. Lett. 74 (1995) 4110-4113; S. Fishman, B. Georgeot, R.E. Prange, Fredholm method for scars, J. Phys. A 29 (1996) 919-937.
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 4110-4113
-
-
-
29
-
-
0010193688
-
Fredholm method for scars
-
B. Georgeot, R.E. Prange, Exact and quasiclassical Fredholm solutions of quantum billiards, Phys. Rev. Lett. 74 (1995) 2851-2854; Fredholm theory for quasiclassical scattering, Phys. Rev. Lett. 74 (1995) 4110-4113; S. Fishman, B. Georgeot, R.E. Prange, Fredholm method for scars, J. Phys. A 29 (1996) 919-937.
-
(1996)
J. Phys. A
, vol.29
, pp. 919-937
-
-
Fishman, S.1
Georgeot, B.2
Prange, R.E.3
-
30
-
-
36449008911
-
Periodic orbit theory in classical and quantum mechanics
-
Cvitanović P. Periodic orbit theory in classical and quantum mechanics. Chaos. 2:1992;1-4.
-
(1992)
Chaos
, vol.2
, pp. 1-4
-
-
Cvitanović, P.1
-
32
-
-
84934596698
-
Über die Greenschen Funktionen des Zylinders und der Kugel
-
W. Franz, Theorie der Beugung Elektromagnetischer Wellen, Springer, Berlin, 1954; Über die Greenschen Funktionen des Zylinders und der Kugel, Z. Naturforschung 9a (1954) 705-716 **.
-
(1954)
Z. Naturforschung
, vol.9 A
, pp. 705-716
-
-
-
33
-
-
33645667614
-
Geometrical theory of diffraction
-
J.B. Keller, Geometrical theory of diffraction, J. Opt. Soc. Amer. 52 (1962) 116-130; A geometrical theory of diffraction, in: Calculus of Variations and its Application, American Mathematical Society, Providence, RI, 1958, pp. 27-52; B.R. Levy, J.B. Keller, Diffraction by a smooth object, Comm. Pure Appl. Math. XII (1959) 159-209; B.R. Levy, J.B. Keller, Diffraction by a spheroid, Can. J. Phys. 38 (1960) 128-144.
-
(1962)
J. Opt. Soc. Amer.
, vol.52
, pp. 116-130
-
-
Keller, J.B.1
-
34
-
-
33645667614
-
A geometrical theory of diffraction
-
American Mathematical Society, Providence, RI
-
J.B. Keller, Geometrical theory of diffraction, J. Opt. Soc. Amer. 52 (1962) 116-130; A geometrical theory of diffraction, in: Calculus of Variations and its Application, American Mathematical Society, Providence, RI, 1958, pp. 27-52; B.R. Levy, J.B. Keller, Diffraction by a smooth object, Comm. Pure Appl. Math. XII (1959) 159-209; B.R. Levy, J.B. Keller, Diffraction by a spheroid, Can. J. Phys. 38 (1960) 128-144.
-
(1958)
In: Calculus of Variations and Its Application
, pp. 27-52
-
-
-
35
-
-
84980082876
-
Diffraction by a smooth object
-
J.B. Keller, Geometrical theory of diffraction, J. Opt. Soc. Amer. 52 (1962) 116-130; A geometrical theory of diffraction, in: Calculus of Variations and its Application, American Mathematical Society, Providence, RI, 1958, pp. 27-52; B.R. Levy, J.B. Keller, Diffraction by a smooth object, Comm. Pure Appl. Math. XII (1959) 159-209; B.R. Levy, J.B. Keller, Diffraction by a spheroid, Can. J. Phys. 38 (1960) 128-144.
-
(1959)
Comm. Pure Appl. Math.
, vol.12
, pp. 159-209
-
-
Levy, B.R.1
Keller, J.B.2
-
36
-
-
33645667614
-
Diffraction by a spheroid
-
J.B. Keller, Geometrical theory of diffraction, J. Opt. Soc. Amer. 52 (1962) 116-130; A geometrical theory of diffraction, in: Calculus of Variations and its Application, American Mathematical Society, Providence, RI, 1958, pp. 27-52; B.R. Levy, J.B. Keller, Diffraction by a smooth object, Comm. Pure Appl. Math. XII (1959) 159-209; B.R. Levy, J.B. Keller, Diffraction by a spheroid, Can. J. Phys. 38 (1960) 128-144.
-
(1960)
Can. J. Phys.
, vol.38
, pp. 128-144
-
-
Levy, B.R.1
Keller, J.B.2
-
37
-
-
0040451322
-
High-frequency scattering by an impenetrable sphere
-
Nussenzveig H.M. High-frequency scattering by an impenetrable sphere. Ann. Phys. (N.Y.). 34:1965;23-95.
-
(1965)
Ann. Phys. (N.Y.)
, vol.34
, pp. 23-95
-
-
Nussenzveig, H.M.1
-
38
-
-
0001547270
-
Periodic orbit theory of diffraction
-
chao-dyn/9401007
-
G. Vattay, A. Wirzba, P.E. Rosenqvist, Periodic orbit theory of diffraction, Phys. Rev. Lett. 73 (1994) 2304-2307, chao-dyn/9401007 **.
-
(1994)
Phys. Rev. Lett.
, vol.73
, pp. 2304-2307
-
-
Vattay, G.1
Wirzba, A.2
Rosenqvist, P.E.3
-
39
-
-
0041886587
-
Inclusion of diffraction effects in the Gutzwiller trace formula
-
in: Y. Aizawa, S. Saito, K. Shiraiwa (Eds.), World Scientific, Singapore, chao-dyn/9408005
-
G. Vattay, A. Wirzba, P.E. Rosenqvist, Inclusion of diffraction effects in the Gutzwiller trace formula, in: Y. Aizawa, S. Saito, K. Shiraiwa (Eds.), Proc. Int. Conf. on Dynamical Systems and Chaos, vol. 2, World Scientific, Singapore, 1995, pp. 463-466, chao-dyn/9408005.
-
(1995)
Proc. Int. Conf. on Dynamical Systems and Chaos
, vol.2
, pp. 463-466
-
-
Vattay, G.1
Wirzba, A.2
Rosenqvist, P.E.3
-
40
-
-
0030556273
-
Application of the diffraction trace formula to the three disk scattering system
-
chao-dyn/9602010
-
P.E. Rosenqvist, G. Vattay, A. Wirzba, Application of the diffraction trace formula to the three disk scattering system, J. Stat. Phys. 83 (1996) 243-257, chao-dyn/9602010.
-
(1996)
J. Stat. Phys.
, vol.83
, pp. 243-257
-
-
Rosenqvist, P.E.1
Vattay, G.2
Wirzba, A.3
-
41
-
-
7244232750
-
The role of diffraction in the quantization of dispersing billiards
-
H. Primack, H. Schanz, U. Smilanksy, I. Ussishkin, The role of diffraction in the quantization of dispersing billiards, Phys. Rev. Lett. 76 (1996) 1615-1618; Penumbra diffraction in the quantization of concave billiards, J. Phys. A 30 (1997) 6693-6723, chao-dyn/9611009.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 1615-1618
-
-
Primack, H.1
Schanz, H.2
Smilanksy, U.3
Ussishkin, I.4
-
42
-
-
0031558533
-
Penumbra diffraction in the quantization of concave billiards
-
chao-dyn/9611009
-
H. Primack, H. Schanz, U. Smilanksy, I. Ussishkin, The role of diffraction in the quantization of dispersing billiards, Phys. Rev. Lett. 76 (1996) 1615-1618; Penumbra diffraction in the quantization of concave billiards, J. Phys. A 30 (1997) 6693-6723, chao-dyn/9611009.
-
(1997)
J. Phys. A
, vol.30
, pp. 6693-6723
-
-
-
43
-
-
0003424073
-
-
Addison-Wesley, Reading, MA
-
D. Ruelle, Statistical Mechanics, Thermodynamical Formalism, Addison-Wesley, Reading, MA, 1987.
-
(1987)
Statistical Mechanics, Thermodynamical Formalism
-
-
Ruelle, D.1
-
44
-
-
0001503320
-
Unstable periodic orbits and semiclassical quantisation
-
Voros A. Unstable periodic orbits and semiclassical quantisation. J. Phys. A. 21:1988;685-692.
-
(1988)
J. Phys. A
, vol.21
, pp. 685-692
-
-
Voros, A.1
-
45
-
-
33749285143
-
ℏ Expansion for the periodic-orbit quantization of hyperbolic systems
-
P. Gaspard. D. Alonso, ℏ Expansion for the periodic-orbit quantization of hyperbolic systems, Phys. Rev. A 47 (1993) R3468-3471; D. Alonso, P. Gaspard, ℏ Expansion for the periodic orbit quantization of chaotic systems, Chaos 3 (1993) 601-612.
-
(1993)
Phys. Rev. A
, vol.47
-
-
Gaspard, P.1
Alonso, D.2
-
46
-
-
0000194539
-
ℏ Expansion for the periodic orbit quantization of chaotic systems
-
P. Gaspard. D. Alonso, ℏ Expansion for the periodic-orbit quantization of hyperbolic systems, Phys. Rev. A 47 (1993) R3468-3471; D. Alonso, P. Gaspard, ℏ Expansion for the periodic orbit quantization of chaotic systems, Chaos 3 (1993) 601-612.
-
(1993)
Chaos
, vol.3
, pp. 601-612
-
-
Alonso, D.1
Gaspard, P.2
-
47
-
-
0040843617
-
ℏ-Expansion for quantum trace formulas
-
in: G. Casati, B. Chirikov (Eds.), Cambridge University Press, Cambridge
-
P. Gaspard, ℏ -Expansion for quantum trace formulas, in: G. Casati, B. Chirikov (Eds.), Quantum Chaos Between Order and Disorder, Cambridge University Press, Cambridge, 1995, pp. 385-404.
-
(1995)
Quantum Chaos between Order and Disorder
, pp. 385-404
-
-
Gaspard, P.1
-
49
-
-
0001608032
-
Periodic orbit quantization beyond semiclassics
-
G. Vattay, Differential equations to compute ℏ corrections of the trace formula, chao-dyn/9406005, unpublished: G. Vattay, P.E. Rosenqvist, Periodic orbit quantization beyond semiclassics, Phys. Rev. Lett. 76 (1996) 335-339.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 335-339
-
-
Vattay, G.1
Rosenqvist, P.E.2
-
50
-
-
0001741672
-
Resummations of classical and semi-classical periodic orbit expressions
-
Eckhardt B., Russberg G. Resummations of classical and semi-classical periodic orbit expressions. Phys. Rev. E. 47:1993;1578-1588.
-
(1993)
Phys. Rev. E
, vol.47
, pp. 1578-1588
-
-
Eckhardt, B.1
Russberg, G.2
-
52
-
-
0010845624
-
Entire Fredholm determinants for evaluation of semiclassical and thermodynamical spectra
-
P. Cvitanović, G. Vattay, Entire Fredholm determinants for evaluation of semiclassical and thermodynamical spectra, Phys. Rev. Lett. 71 (1993) 4138-4141 ***.
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 4138-4141
-
-
Cvitanović, P.1
Vattay, G.2
-
53
-
-
0001797165
-
Validity of the semiclassical periodic orbit approximation in the 2- And 3-disk problems
-
Wirzba A. Validity of the semiclassical periodic orbit approximation in the 2- and 3-disk problems. Chaos. 2:1992;77-83.
-
(1992)
Chaos
, vol.2
, pp. 77-83
-
-
Wirzba, A.1
-
54
-
-
5844301550
-
Test of the periodic orbit approximation in n-disk systems
-
Wirzba A. Test of the periodic orbit approximation in. n -disk systems Nucl. Phys. A. 560:1993;136-150.
-
(1993)
Nucl. Phys. A
, vol.560
, pp. 136-150
-
-
Wirzba, A.1
-
56
-
-
0002629738
-
Quantum fluids and classical determinants
-
in: H. Friedrich, B. Eckhardt (Eds.), Springer, Heidelberg, chao-dyn/9608012
-
P. Cvitanović, G. Vattay, A. Wirzba, Quantum fluids and classical determinants, in: H. Friedrich, B. Eckhardt (Eds.), Classical, Semiclassical and Quantum Dynamics in Atoms, Lecture Notes in Physics, vol. 485, Springer, Heidelberg, 1997, pp. 29-62, chao-dyn/9608012.
-
(1997)
Classical, Semiclassical and Quantum Dynamics in Atoms, Lecture Notes in Physics
, vol.485
, pp. 29-62
-
-
Cvitanović, P.1
Vattay, G.2
Wirzba, A.3
-
57
-
-
0032489180
-
A direct link between the quantum-mechanical and semiclassical determination of scattering resonances
-
chao-dyn/9702004
-
A. Wirzba, M. Henseler, A direct link between the quantum-mechanical and semiclassical determination of scattering resonances, J. Phys. A 31 (1998) 2155-2172, chao-dyn/9702004.
-
(1998)
J. Phys. A
, vol.31
, pp. 2155-2172
-
-
Wirzba, A.1
Henseler, M.2
-
58
-
-
29444451502
-
Quantizing a classically ergodic system: Sinai's billiard and the KKR method
-
M.V. Berry, Quantizing a classically ergodic system: Sinai's billiard and the KKR method, Ann. Phys. (N.Y.) 131 (1981) 163-216 **.
-
(1981)
Ann. Phys. (N.Y.)
, vol.131
, pp. 163-216
-
-
Berry, M.V.1
-
59
-
-
0009544762
-
Semiclassical mechanics of regular and irregular motion
-
in: G. Iooss, R.H.G. Helleman, R. Stora (Eds.), Les Houches, Session XXXVI, North-Holland, Amsterdam
-
M.V. Berry, Semiclassical mechanics of regular and irregular motion, in: G. Iooss, R.H.G. Helleman, R. Stora (Eds.), Comportement Chaotique de Systèmes Déterministes, Chaotic Behaviour of Deterministic Systems, Les Houches, Session XXXVI, 1981, North-Holland, Amsterdam, 1983.
-
(1981)
Comportement Chaotique de Systèmes Déterministes, Chaotic Behaviour of Deterministic Systems
-
-
Berry, M.V.1
-
60
-
-
33749512386
-
On the calculation of the energy of Bloch waves in a metal
-
J. Korringa, On the calculation of the energy of Bloch waves in a metal, Physica 13 (1947) 392-400; W. Kohn, N. Rostoker, Solution of the Schrödinger equation in periodic lattices with an application to methalic lithium, Phys. Rev. 94 (1954) 1111-1120.
-
(1947)
Physica
, vol.13
, pp. 392-400
-
-
Korringa, J.1
-
61
-
-
36149025490
-
Solution of the Schrödinger equation in periodic lattices with an application to methalic lithium
-
J. Korringa, On the calculation of the energy of Bloch waves in a metal, Physica 13 (1947) 392-400; W. Kohn, N. Rostoker, Solution of the Schrödinger equation in periodic lattices with an application to methalic lithium, Phys. Rev. 94 (1954) 1111-1120.
-
(1954)
Phys. Rev.
, vol.94
, pp. 1111-1120
-
-
Kohn, W.1
Rostoker, N.2
-
62
-
-
0000576241
-
Wave propagation through an assembly of spheres. II. The density of single-particle eigenstates
-
Lloyd P. Wave propagation through an assembly of spheres. II. The density of single-particle eigenstates. Proc. Phys. Soc. 90:1967;207-216.
-
(1967)
Proc. Phys. Soc.
, vol.90
, pp. 207-216
-
-
Lloyd, P.1
-
63
-
-
0002468532
-
Multiple-scattering theory in condensed materials
-
and references therein
-
P. Lloyd, P.V. Smith, Multiple-scattering theory in condensed materials, Adv. Phys. 21 (1972) 69-142 and references therein *.
-
(1972)
Adv. Phys.
, vol.21
, pp. 69-142
-
-
Lloyd, P.1
Smith, P.V.2
-
64
-
-
0011614827
-
Solution of the Schrödinger equation in terms of classical paths
-
Balian R., Bloch C. Solution of the Schrödinger equation in terms of classical paths. Ann Phys. (N.Y.). 85:1974;514-545.
-
(1974)
Ann Phys. (N.Y.)
, vol.85
, pp. 514-545
-
-
Balian, R.1
Bloch, C.2
-
66
-
-
0000190774
-
On the trace formula in perturbation theory
-
M.G. Krein, On the trace formula in perturbation theory, Mat. Sborn. (N.S.) 33 (1953) 597-626; Perturbation determinants and formula for traces of unitary and self-adjoint operators, Sov. Math.-Dokl. 3 (1962) 707-710. M.S. Birman, M.G. Krein, On the theory of wave operators and scattering operators, Sov. Math.-Dokl. 3 (1962) 740-744.
-
(1953)
Mat. Sborn. (N.S.)
, vol.33
, pp. 597-626
-
-
Krein, M.G.1
-
67
-
-
0000746737
-
Perturbation determinants and formula for traces of unitary and self-adjoint operators
-
M.G. Krein, On the trace formula in perturbation theory, Mat. Sborn. (N.S.) 33 (1953) 597-626; Perturbation determinants and formula for traces of unitary and self-adjoint operators, Sov. Math.-Dokl. 3 (1962) 707-710. M.S. Birman, M.G. Krein, On the theory of wave operators and scattering operators, Sov. Math.-Dokl. 3 (1962) 740-744.
-
(1962)
Sov. Math.-Dokl.
, vol.3
, pp. 707-710
-
-
-
68
-
-
0001267840
-
On the theory of wave operators and scattering operators
-
M.G. Krein, On the trace formula in perturbation theory, Mat. Sborn. (N.S.) 33 (1953) 597-626; Perturbation determinants and formula for traces of unitary and self-adjoint operators, Sov. Math.-Dokl. 3 (1962) 707-710. M.S. Birman, M.G. Krein, On the theory of wave operators and scattering operators, Sov. Math.-Dokl. 3 (1962) 740-744.
-
(1962)
Sov. Math.-Dokl.
, vol.3
, pp. 740-744
-
-
Birman, M.S.1
Krein, M.G.2
-
70
-
-
0001203158
-
Scattering theory and cluster calculations
-
Faulkner J.S. Scattering theory and cluster calculations. J. Phys. C. 10:1977;4661-4670.
-
(1977)
J. Phys. C
, vol.10
, pp. 4661-4670
-
-
Faulkner, J.S.1
-
71
-
-
0042589315
-
Scattering resonances: classical and quantum dynamics
-
in: G. Casati, I. Guarneri, U. Smilansky (Eds.), "Enrico Fermi", Course CXIX, Varena, 23 July-2 August North-Holland, Amsterdam
-
P. Gaspard, Scattering resonances: classical and quantum dynamics, in: G. Casati, I. Guarneri, U. Smilansky (Eds.), Proc. Int. School of Physics, "Enrico Fermi", Course CXIX, Varena, 23 July-2 August 1991, North-Holland, Amsterdam, 1993.
-
(1991)
Proc. Int. School of Physics
-
-
Gaspard, P.1
-
72
-
-
0003687441
-
-
Academic Press, New York, Chap. VI
-
M. Reed, B. Simon, Methods of Modern Mathematical Physics, vol. I: Functional Analysis, Academic Press, New York, 1972, Chap. VI.
-
(1972)
Methods of Modern Mathematical Physics, Vol. I: Functional Analysis
-
-
Reed, M.1
Simon, B.2
-
73
-
-
0003937747
-
-
Academic Press, New York, Chap. XIII.17
-
M. Reed, B. Simon, Methods of Modern Mathematical Physics, vol. IV: Analysis of Operators, Academic Press, New York, 1976, Chap. XIII.17 *.
-
(1976)
Methods of Modern Mathematical Physics, Vol. IV: Analysis of Operators
-
-
Reed, M.1
Simon, B.2
-
74
-
-
0031206512
-
Quantization of hyperbolic N-sphere scattering systems in three dimensions
-
chao-dyn/9701018
-
M. Henseler, A. Wirzba, T. Guhr, Quantization of hyperbolic N-sphere scattering systems in three dimensions, Ann. Phys. (N.Y.) 258 (1997) 29-62, chao-dyn/9701018.
-
(1997)
Ann. Phys. (N.Y.)
, vol.258
, pp. 29-62
-
-
Henseler, M.1
Wirzba, A.2
Guhr, T.3
-
75
-
-
0030259987
-
Three disks in a row: A two-dimensional scattering analog of the double-well problem
-
chao-dyn/9603016;
-
A. Wirzba, P.E. Rosenqvist, Three disks in a row: a two-dimensional scattering analog of the double-well problem, Phys. Rev. A 54 (1996) 2745-2754, chao-dyn/9603016; Erratum, Phys. Rev. A 55 (1997) 1555.
-
(1996)
Phys. Rev. A
, vol.54
, pp. 2745-2754
-
-
Wirzba, A.1
Rosenqvist, P.E.2
-
76
-
-
26744475946
-
-
Erratum
-
A. Wirzba, P.E. Rosenqvist, Three disks in a row: a two-dimensional scattering analog of the double-well problem, Phys. Rev. A 54 (1996) 2745-2754, chao-dyn/9603016; Erratum, Phys. Rev. A 55 (1997) 1555.
-
(1997)
Phys. Rev. A
, vol.55
, pp. 1555
-
-
-
77
-
-
0002751645
-
The diffraction of electric waves by the earth
-
Watson G.N. The diffraction of electric waves by the earth. Proc. Roy. Soc. London Ser. A. 95:1918;83-99.
-
(1918)
Proc. Roy. Soc. London Ser. a
, vol.95
, pp. 83-99
-
-
Watson, G.N.1
-
78
-
-
0010863785
-
Discrete symmetries and the periodic-orbit expansions
-
Lauritzen B. Discrete symmetries and the periodic-orbit expansions. Phys. Rev. A. 43:1991;603-606.
-
(1991)
Phys. Rev. A
, vol.43
, pp. 603-606
-
-
Lauritzen, B.1
-
79
-
-
0001217093
-
Symmetry decomposition of chaotic dynamics
-
P. Cvitanović, B. Eckhardt, Symmetry decomposition of chaotic dynamics, Nonlinearity 6 (1993) 277-311 *.
-
(1993)
Nonlinearity
, vol.6
, pp. 277-311
-
-
Cvitanović, P.1
Eckhardt, B.2
-
80
-
-
5544274982
-
Semiasymptotische Reihen für die Beugung einer ebenen Welle am Zylinder
-
W. Franz, R. Galle, Semiasymptotische Reihen für die Beugung einer ebenen Welle am Zylinder, Z. Naturforschung 10a (1955) 374-378.
-
(1955)
Z. Naturforschung
, vol.10 A
, pp. 374-378
-
-
Franz, W.1
Galle, R.2
-
81
-
-
0041587264
-
-
Ph.D. thesis, Copenhagen, December unpublished
-
P.E. Rosenqvist, Periodic orbit theory beyond semiclassics: convergence, diffraction and h-bar corrections, Ph.D. thesis, Copenhagen, December 1995, unpublished, http: // www.nbi.dk/ ~ rosqvist/thesis.html.
-
(1995)
Periodic Orbit Theory Beyond Semiclassics: Convergence, Diffraction and H-bar Corrections
-
-
Rosenqvist, P.E.1
-
82
-
-
0042088336
-
-
Private communication
-
P.E. Rosenqvist, Private communication.
-
-
-
Rosenqvist, P.E.1
-
83
-
-
0041587265
-
-
Private communication
-
B. Eckhardt, Private communication.
-
-
-
Eckhardt, B.1
-
84
-
-
33744608306
-
Density-of-states calculations and multiple-scattering theory for photons
-
Moroz A. Density-of-states calculations and multiple-scattering theory for photons. Phys. Rev. B. 51:1995;2068-2081.
-
(1995)
Phys. Rev. B
, vol.51
, pp. 2068-2081
-
-
Moroz, A.1
-
85
-
-
0003770698
-
Quantum Mechanics for Hamiltonians defined as Quadratic Forms
-
Princeton University Press, Princeton, Appendix
-
B. Simon, Quantum Mechanics for Hamiltonians defined as Quadratic Forms, Princeton Series in Physics, Princeton University Press, Princeton, 1971, Appendix.
-
(1971)
Princeton Series in Physics
-
-
Simon, B.1
-
86
-
-
0000931552
-
Notes on infinite determinants of Hilbert space operators
-
B. Simon, Notes on infinite determinants of Hilbert space operators, Adv. Math. 24 (1977) 244-273 *.
-
(1977)
Adv. Math.
, vol.24
, pp. 244-273
-
-
Simon, B.1
-
87
-
-
0003301335
-
Introduction to the theory of linear nonselfadjoint operators
-
Amer. Math. Soc., Providence, RI
-
I.C. Gohberg, M.G. Krein, Introduction to the theory of linear nonselfadjoint operators, in: Translations of Mathematical Monographs, vol. 18, Amer. Math. Soc., Providence, RI, 1969.
-
(1969)
In: Translations of Mathematical Monographs
, vol.18
-
-
Gohberg, I.C.1
Krein, M.G.2
-
88
-
-
0003862232
-
-
Springer, New York, Chap. X, sections 1.3 and 1.4
-
T. Kato, Perturbation Theory of Linear Operators, Springer, New York, 1966, Chap. X, sections 1.3 and 1.4.
-
(1966)
Perturbation Theory of Linear Operators
-
-
Kato, T.1
-
89
-
-
0043150987
-
Sur quelques points de la théorie des déterminants infinis
-
H. von Koch, Sur quelques points de la théorie des déterminants infinis, Acta. Math. 24 (1900) 89-122; Sur la convergence des déterminants infinis, Rend. Circ. Mat. Palermo 28 (1909) 255-266.
-
(1900)
Acta. Math.
, vol.24
, pp. 89-122
-
-
Von Koch, H.1
-
90
-
-
0039953559
-
Sur la convergence des déterminants infinis
-
H. von Koch, Sur quelques points de la théorie des déterminants infinis, Acta. Math. 24 (1900) 89-122; Sur la convergence des déterminants infinis, Rend. Circ. Mat. Palermo 28 (1909) 255-266.
-
(1909)
Rend. Circ. Mat. Palermo
, vol.28
, pp. 255-266
-
-
-
91
-
-
0001896528
-
On the characteristic values of linear integral equations
-
Hille E., Tamarkin J.D. On the characteristic values of linear integral equations. Acta Math. 57:1931;1-76.
-
(1931)
Acta Math.
, vol.57
, pp. 1-76
-
-
Hille, E.1
Tamarkin, J.D.2
-
92
-
-
22244446790
-
Spectral functions, special functions and the Selberg zeta function
-
Voros A. Spectral functions, special functions and the Selberg zeta function. Commun. Math. Phys. 110:1987;439-465.
-
(1987)
Commun. Math. Phys.
, vol.110
, pp. 439-465
-
-
Voros, A.1
-
93
-
-
0009284617
-
Calculation of spectral determinants
-
Keating J.P., Sieber M. Calculation of spectral determinants. Proc. R. Soc. Lond. 447:1994;413-437.
-
(1994)
Proc. R. Soc. Lond.
, vol.447
, pp. 413-437
-
-
Keating, J.P.1
Sieber, M.2
|