-
1
-
-
0001934538
-
Distribution of eigenfrequencies for the wave equation in a finite domain. III. Eigenfrequency density oscillations
-
Balian R., Bloch C., Distribution of eigenfrequencies for the wave equation in a finite domain. III. Eigenfrequency density oscillations, Ann. Physics 69 (1972), 76-160.
-
(1972)
Ann. Physics
, vol.69
, pp. 76-160
-
-
Balian, R.1
Bloch, C.2
-
2
-
-
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. Physics 85 (1974), 514-545.
-
(1974)
Ann. Physics
, vol.85
, pp. 514-545
-
-
Balian, R.1
Bloch, C.2
-
3
-
-
0012733703
-
Electromagnetic waves near perfect conductors. I. Multiple scattering expansions. Distribution of modes
-
Balian R., Duplantier B., Electromagnetic waves near perfect conductors. I. Multiple scattering expansions. Distribution of modes, Ann. Physics 104 (1977), 300-335.
-
(1977)
Ann. Physics
, vol.104
, pp. 300-335
-
-
Balian, R.1
Duplantier, B.2
-
4
-
-
34548182621
-
Electromagnetic waves near perfect conductors. II. Casimir effect
-
Balian R., Duplantier B., Electromagnetic waves near perfect conductors. II. Casimir effect, Ann. Physics 112 (1978), 165-208.
-
(1978)
Ann. Physics
, vol.112
, pp. 165-208
-
-
Balian, R.1
Duplantier, B.2
-
5
-
-
0037491679
-
Heat kernel asymptotics for roots of generalized laplacians
-
Bär C., Moroianu S., Heat kernel asymptotics for roots of generalized Laplacians, Internat. J. Math. 14 (2003), 397-412.
-
(2003)
Internat. J. Math.
, vol.14
, pp. 397-412
-
-
Bär, C.1
Moroianu, S.2
-
6
-
-
0001004465
-
Zero-point energy of fields in a finite volume
-
Bender C.M., Hays P., Zero-point energy of fields in a finite volume, Phys. Rev. D 14 (1976), 2622-2632.
-
(1976)
Phys. Rev. D
, vol.14
, pp. 2622-2632
-
-
Bender, C.M.1
Hays, P.2
-
7
-
-
0344063358
-
The heat kernel expansion for the electromagnetic field in a cavity
-
math-ph/0302035
-
Bernasconi F., Graf G.M., Hasler D., The heat kernel expansion for the electromagnetic field in a cavity, Ann. Henri Poincaré 4 (2003), 1001-1013, math-ph/0302035.
-
(2003)
Ann. Henri Poincarée
, vol.4
, pp. 1001-1013
-
-
Bernasconi, F.1
Graf, G.M.2
Hasler, D.3
-
8
-
-
0001864826
-
New developments in the casimir effect
-
quant-ph/0106045
-
Bordag M., Mohideen U., Mostepanenko V.M., New developments in the Casimir effect, Phys. Rep. 353 (2001), 1-205, quant-ph/0106045.
-
(2001)
Phys. Rep.
, vol.353
, pp. 1-205
-
-
Bordag, M.1
Mohideen, U.2
Mostepanenko, V.M.3
-
9
-
-
0001682356
-
Van der Waals forces and zero-point energy for dielectric and permeable materials
-
Boyer T.H., Van der Waals forces and zero-point energy for dielectric and permeable materials, Phys. Rev. A 9 (1974), 2078-2084.
-
(1974)
Phys. Rev. A
, vol.9
, pp. 2078-2084
-
-
Boyer, T.H.1
-
12
-
-
36049054811
-
Vacuum stress between conducting plates: An image solution
-
Brown L.S., Maclay G.J., Vacuum stress between conducting plates: an image solution, Phys. Rev. 184 (1969), 1272-1279.
-
(1969)
Phys. Rev.
, vol.184
, pp. 1272-1279
-
-
Brown, L.S.1
Maclay, G.J.2
-
13
-
-
0013184231
-
Extended asymptotic eigenvalue distributions for bounded domains in n-space
-
Brownell F.H., Extended asymptotic eigenvalue distributions for bounded domains in n-space, J. Math. Mech. 6 (1957), 119-166.
-
(1957)
J. Math. Mech.
, vol.6
, pp. 119-166
-
-
Brownell, F.H.1
-
15
-
-
33750189322
-
Regularization dependence of vacuum energy in arbitrarily shapted cavities
-
Cognola G., Vanzo L., Zerbini S., Regularization dependence of vacuum energy in arbitrarily shapted cavities, J. Math. Phys. 33 (1992), 222-228.
-
(1992)
J. Math. Phys.
, vol.33
, pp. 222-228
-
-
Cognola, G.1
Vanzo, L.2
Zerbini, S.3
-
16
-
-
0009106538
-
Spectre du laplacien et longuers des géodésiques périodiques. II
-
Colin de Verdiére Y., Spectre du laplacien et longuers des géodésiques périodiques. II, Compos. Math. 27 (1973), 159-184.
-
(1973)
Compos. Math.
, vol.27
, pp. 159-184
-
-
de Colin Verdie, Y.1
-
17
-
-
0033238569
-
A proof of the gutzwiller semiclassical trace formula using coherent states decomposition
-
math-ph/9807005
-
Combescure M., Ralston J., Robert D., A proof of the Gutzwiller semiclassical trace formula using coherent states decomposition, Comm. Math. Phys. 202 (1999), 463-480, math-ph/9807005.
-
(1999)
Comm. Math. Phys.
, vol.202
, pp. 463-480
-
-
Combescure, M.1
Ralston, J.2
Robert, D.3
-
18
-
-
0042582432
-
Quantum field theory in curved spacetime
-
DeWitt B.S., Quantum field theory in curved spacetime, Phys. Rep. 19 (1975), 295-357.
-
(1975)
Phys. Rep.
, vol.19
, pp. 295-357
-
-
Dewitt, B.S.1
-
19
-
-
0036461943
-
1. The counting function. 2. Hybrid boundary conditions
-
Dowker J.S., 1. The counting function. 2. Hybrid boundary conditions, Nuclear Phys. B Proc. Suppl. 104 (2002), 153-156.
-
(2002)
Nuclear Phys. B Proc. Suppl.
, vol.104
, pp. 153-156
-
-
Dowker, J.S.1
-
20
-
-
33646611421
-
The spectrum of positive elliptic operators and periodic bicharacteristics
-
Duistermaat J.J., Guillemin V.W., The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29 (1975), 39-79.
-
(1975)
Invent. Math.
, vol.29
, pp. 39-79
-
-
Duistermaat, J.J.1
Guillemin, V.W.2
-
21
-
-
33746662883
-
The Cesáro behavior of distributions
-
Estrada R., The Cesáro behavior of distributions, Proc. Roy. Soc. London A 454 (1998), 2425-2443.
-
(1998)
Proc. Roy. Soc. London A
, vol.454
, pp. 2425-2443
-
-
Estrada, R.1
-
22
-
-
0242321111
-
Distributional asymptotic expansions of spectral functions and of the associated Green kernels
-
37 pages, funct-an/9710003
-
Estrada R., Fulling S.A., Distributional asymptotic expansions of spectral functions and of the associated Green kernels, Electron. J. Differential Equations 1999 (1999), 07, 37 pages, funct-an/9710003.
-
(1999)
Electron. J. Differential Equations
, vol.1999
, pp. 07
-
-
Estrada, R.1
Fulling, S.A.2
-
23
-
-
85043089543
-
Functions and distributions in spaces with thick points, in special issue for the tricentennial of leonard euler
-
to appear
-
Estrada R., Fulling S.A., Functions and distributions in spaces with thick points, in Special Issue for the Tricentennial of Leonard Euler, Internat. J. Appl. Math. Stat., to appear, available at this URL http://www.math.tamu.edu/_fulling/fatpts4.pdf.
-
Internat. J. Appl. Math. Stat.
-
-
Estrada, R.1
Fulling, S.A.2
-
24
-
-
85043039060
-
Classical paths and quantum vacuum stress in rectangular cavities, in preparation
-
Estrada R., Fulling S.A., Kaplan L., Kirsten K., Liu Z.H., Milton K.A., Classical paths and quantum vacuum stress in rectangular cavities, in preparation.
-
-
-
Estrada, R.1
Fulling, S.A.2
Kaplan, L.3
Kirsten, K.4
Liu, Z.H.5
Milton, K.A.6
-
25
-
-
0542418893
-
Vacuum energy density near boundaries
-
8 pages, quant-ph/9804056
-
Ford L.H., Svaiter N.F., Vacuum energy density near boundaries, Phys. Rev. D 58 (1998), 065007, 8 pages, quant-ph/9804056.
-
(1998)
Phys. Rev. D
, vol.58
, pp. 065007
-
-
Ford, L.H.1
Svaiter, N.F.2
-
26
-
-
0040556935
-
The local geometric asymptotics of continuum eigenfunction expansions I
-
Fulling S.A., The local geometric asymptotics of continuum eigenfunction expansions I, SIAM J. Math. Anal. 13 (1982), 891-912.
-
(1982)
SIAM J. Math. Anal.
, vol.13
, pp. 891-912
-
-
Fulling, S.A.1
-
27
-
-
0038200771
-
Systematics of the relationship between vacuum energy calculations and heat kernel coefficients
-
quant-ph/0302117
-
Fulling S.A., Systematics of the relationship between vacuum energy calculations and heat kernel coefficients, J. Phys. A: Math. Gen. 36 (2003), 6857-6873, quant-ph/0302117.
-
(2003)
J. Phys. A: Math. Gen.
, vol.36
, pp. 6857-6873
-
-
Fulling, S.A.1
-
28
-
-
14544294929
-
-
(6th Workshop., Norman, 2003). Editor K.A. Milton, Rinton Press, Princeton
-
Fulling S.A., Global and local vacuum energy and closed orbit theory, in Quantum Field Theory under the Influence of External Conditions (6th Workshop., Norman, 2003). Editor K.A. Milton, Rinton Press, Princeton, 2004, 166-174, available at this URL http://www.math.tamu.edu/_fulling/funorman.pdf.
-
(2004)
Global and Local Vacuum Energy and Closed Orbit Theory, in Quantum Field Theory Under the Influence of External Conditions
, pp. 166-174
-
-
Fulling, S.A.1
-
29
-
-
0242321109
-
Spectral Riesz-Cesáro means: How the square root function helps us to see around the world, in Mathematical Physics and Quantum Field Theory (E.H. Wichmann Symposium, Berkeley, 1999)
-
Fulling S.A., Gorbar E.V., Romero C.T., Spectral Riesz-Cesáro means: How the square root function helps us to see around the world, in Mathematical Physics and Quantum Field Theory (E.H. Wichmann Symposium, Berkeley, 1999), Electron. J. Differ. Equ. Conf. 04 (2000), 87-101, available at this URL http://ejde.math.unt.edu/conf-proc/04/f3/abstr.html.
-
(2000)
Electron. J. Differ. Equ. Conf.
, vol.4
, pp. 87-101
-
-
Fulling, S.A.1
Gorbar, E.V.2
Romero, C.T.3
-
30
-
-
0242384052
-
Some properties of Riesz means and spectral expansions
-
39 pages, physics/9710006
-
Fulling S.A., Gustafson R.A., Some properties of Riesz means and spectral expansions, Electron. J. Differential Equations 1999 (1999), 06, 39 pages, physics/9710006.
-
(1999)
Electron. J. Differential Equations
, vol.1999
, pp. 06
-
-
Fulling, S.A.1
Gustafson, R.A.2
-
31
-
-
85043036402
-
-
(Isaac Newton Institute, Cambridge), Editor P. Kuchment, to appear
-
Fulling S.A., Wilson J.H., Vacuum energy and closed orbits in quantum graphs, in Program on Analysis on Graphs and Its Applications (Isaac Newton Institute, Cambridge, 2007), Editor P. Kuchment, to appear.
-
(2007)
Vacuum Energy and Closed Orbits in Quantum Graphs, in Program on Analysis on Graphs and its Applications
-
-
Fulling, S.A.1
Wilson, J.H.2
-
32
-
-
84972566476
-
The spectral geometry of the higher order laplacian
-
Gilkey P.B., The spectral geometry of the higher order Laplacian, Duke Math. J. 47 (1980), 511-528.
-
(1980)
Duke Math. J
, vol.47
, pp. 511-528
-
-
Gilkey, P.B.1
-
34
-
-
0000720141
-
Logarithmic terms in asymptotic expansions of heat operator traces
-
Gilkey P.B., Grubb G., Logarithmic terms in asymptotic expansions of heat operator traces, Comm. Partial Differential Equations 23 (1998), 777-792.
-
(1998)
Comm. Partial Differential Equations
, vol.23
, pp. 777-792
-
-
Gilkey, P.B.1
Grubb, G.2
-
35
-
-
0003498504
-
-
5th ed., Academic Press, New York
-
Gradshteyn I.S., Ryzhik I.M., Table of Integrals, series, and products, 5th ed., Academic Press, New York, 1980.
-
(1980)
Table of Integrals, Series, and Products
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
36
-
-
0000724778
-
An asymptotic expansion for the heat equation
-
Greiner P., An asymptotic expansion for the heat equation, Arch. Ration. Mech. Anal. 41 (1971), 163-218.
-
(1971)
Arch. Ration. Mech. Anal.
, vol.41
, pp. 163-218
-
-
Greiner, P.1
-
37
-
-
0001397592
-
Periodic orbits and classical quantization conditions
-
and related papers
-
Gutzwiller M.C., Periodic orbits and classical quantization conditions, J. Math. Phys. 12 (1971), 343-358 and related papers.
-
(1971)
J. Math. Phys.
, vol.12
, pp. 343-358
-
-
Gutzwiller, M.C.1
-
38
-
-
0007148244
-
Vacuum fluctuations of a confined massive scalar field in two dimensions
-
Hays P., Vacuum fluctuations of a confined massive scalar field in two dimensions, Ann. Physics 121 (1979), 32-46.
-
(1979)
Ann. Physics
, vol.121
, pp. 32-46
-
-
Hays, P.1
-
40
-
-
34948908393
-
Casimir forces in a piston geometry at zero and finite temperatures
-
arXiv:0705.0139
-
Hertzberg M.P., Jaffe R.L., Kardar M., Scardicchio A., Casimir forces in a piston geometry at zero and finite temperatures, arXiv:0705.0139.
-
-
-
Hertzberg, M.P.1
Jaffe, R.L.2
Kardar, M.3
Scardicchio, A.4
-
41
-
-
33646945324
-
The spectral function of an elliptic operator
-
Hörmander L., The spectral function of an elliptic operator, Acta Math. 121 (1968), 193-218.
-
(1968)
Acta Math.
, vol.121
, pp. 193-218
-
-
Hörmander, L.1
-
42
-
-
23144440921
-
The design of long-range quantum electrodynamical forces and torques between macroscopic bodies
-
Iannuzzi D., Lisanti M., Munday J.N., Capasso F., The design of long-range quantum electrodynamical forces and torques between macroscopic bodies, Solid State Commun. 135 (2005), 618-626.
-
(2005)
Solid State Commun.
, vol.135
, pp. 618-626
-
-
Iannuzzi, D.1
Lisanti, M.2
Munday, J.N.3
Capasso, F.4
-
43
-
-
0001573646
-
Twisted quantum fields in a curved space-time
-
Isham C.J., Twisted quantum fields in a curved space-time, Proc. Roy. Soc. London A 362 (1978), 383-404.
-
(1978)
Proc. Roy. Soc. London A
, vol.362
, pp. 383-404
-
-
Isham, C.J.1
-
44
-
-
0001428429
-
Casimir force between partially transmitting mirrors
-
Jaekel M.T., Reynaud S., Casimir force between partially transmitting mirrors, J. Physique I 1 (1991), 1395-1409.
-
(1991)
J. Physique I
, Issue.1
, pp. 1395-1409
-
-
Jaekel, M.T.1
Reynaud, S.2
-
45
-
-
0002697827
-
Can one hear the shape of a drum?
-
Kac M., Can one hear the shape of a drum?, Amer. Math. Monthly 73 (1966), Part II, 1-23.
-
(1966)
Amer. Math. Monthly
, vol.73
, Issue.PART II
, pp. 1-23
-
-
Kac, M.1
-
47
-
-
0007069291
-
Casimir effect in the presence of an elastic boundary
-
(English transl.: JETP 83 1996, 423-434)
-
Lebedev S.L., Casimir effect in the presence of an elastic boundary, Zh. Eksp. Teor. Fiz. 110 (1996), 769-792 (English transl.: JETP 83 1996, 423-434).
-
(1996)
Zh. Eksp. Teor. Fiz.
, vol.110
, pp. 769-792
-
-
Lebedev, S.L.1
-
48
-
-
0002891826
-
The van vleck formula, Maslov theory, and phase space geometry
-
Littlejohn R.G., The Van Vleck formula, Maslov theory, and phase space geometry, J. Stat. Phys. 68 (1992), 7-50.
-
(1992)
J. Stat. Phys.
, vol.68
, pp. 7-50
-
-
Littlejohn, R.G.1
-
49
-
-
0039470184
-
Electromagnetic zero-point energy shift induced by conducting closed surfaces
-
Lukosz W., Electromagnetic zero-point energy shift induced by conducting closed surfaces, Z. Physik 258 (1973), 99-107.
-
(1973)
Z. Physik
, vol.258
, pp. 99-107
-
-
Lukosz, W.1
-
50
-
-
0037242837
-
Casimir interaction between two concentric cylinders: Exact versus semiclassical results
-
11 pages, quant-ph/0209097
-
Mazzitelli F.D., Sánchez M.J., Scoccola N.N., von Stecher J., Casimir interaction between two concentric cylinders: exact versus semiclassical results, Phys. Rev. A 67 (2003), 013807, 11 pages, quant-ph/0209097.
-
(2003)
Phys. Rev. A
, vol.67
, pp. 013807
-
-
Mazzitelli, F.D.1
Scoccola, N.N.2
von Stecher, J.3
-
52
-
-
0001697626
-
Eigenfunctions on Riemannian manifolds
-
Minakshisundaram S., Eigenfunctions on Riemannian manifolds, J. Indian Math. Soc. 17 (1953), 159-165.
-
(1953)
J. Indian Math. Soc.
, vol.17
, pp. 159-165
-
-
Minakshisundaram, S.1
-
53
-
-
16644382028
-
The casimir effect
-
Plunien G., Müller B., Greiner W., The Casimir effect, Phys. Rep. 143 (1986), 87-193.
-
(1986)
Phys. Rep.
, vol.143
, pp. 87-193
-
-
Plunien, G.1
Müller, B.2
Greiner, W.3
-
54
-
-
0037040145
-
Casimir effect for scalar fields under robin boundary conditions on plates
-
Romeo A., Saharian A.A., Casimir effect for scalar fields under Robin boundary conditions on plates, J. Phys. A: Math. Gen. 35 (2002), 1297-1320.
-
(2002)
J. Phys. A: Math. Gen.
, vol.35
, pp. 1297-1320
-
-
Romeo, A.1
Saharian, A.A.2
-
55
-
-
11144250320
-
Casimir effects: An optical approach. I. foundations and examples
-
quant-ph/0406041
-
Scardicchio A., Jaffe R.L., Casimir effects: an optical approach. I. Foundations and examples, Nuclear Phys. B 704 (2005), 552-582, quant-ph/0406041.
-
(2005)
Nuclear Phys. B
, vol.704
, pp. 552-582
-
-
Scardicchio, A.1
Jaffe, R.L.2
-
56
-
-
33646033738
-
Casimir effects: An optical approach. II. Local observables and thermal corrections
-
quant-ph/0507042
-
Scardicchio A., Jaffe R.L., Casimir effects: an optical approach. II. Local observables and thermal corrections, Nuclear Phys. B 743 (2006), 249-275, quant-ph/0507042.
-
(2006)
Nuclear Phys. B
, vol.743
, pp. 249-275
-
-
Scardicchio, A.1
Jaffe, R.L.2
-
57
-
-
33645659904
-
Sign and other aspects of semiclassical Casimir energies
-
16 pages, hep-th/0509124
-
Schaden M., Sign and other aspects of semiclassical Casimir energies, Phys. Rev. A 73 (2006), 042102, 16 pages, hep-th/0509124.
-
(2006)
Phys. Rev. A
, vol.73
, pp. 042102
-
-
Schaden, M.1
-
58
-
-
42649131954
-
Semiclassical electromagnetic casimir self-energies
-
hep-th/0604119
-
Schaden M., Semiclassical electromagnetic casimir self-energies, hep-th/0604119.
-
-
-
Schaden, M.1
-
59
-
-
4143143892
-
Infinity-free semiclassical evaluation of casimir effects
-
Schaden M., Spruch L., Infinity-free semiclassical evaluation of Casimir effects, Phys. Rev. A 58 (1998), 935-953.
-
(1998)
Phys. Rev. A
, vol.58
, pp. 935-953
-
-
Schaden, M.1
Spruch, L.2
-
60
-
-
0004156783
-
-
3rd ed., Brooks/Cole, Pacific Grove
-
Stewart J., Calculus, 3rd ed., Brooks/Cole, Pacific Grove, 1995.
-
(1995)
Calculus
-
-
Stewart, J.1
-
61
-
-
85043054740
-
-
Undergraduate Research Fellow Thesis, Texas A&M University
-
Wilson J.H., Vacuum energy in quantum graphs, Undergraduate Research Fellow Thesis, Texas A&M University, 2007, available at this URL http://handle.tamu.edu/1969.1/5682.
-
(2007)
Vacuum Energy in Quantum Graphs
-
-
Wilson, J.H.1
-
62
-
-
0004149831
-
-
4th ed., Cambridge University Press, Cambridge
-
Wolfram S., The Mathematica book, 4th ed., Cambridge University Press, Cambridge, 1999.
-
(1999)
The Mathematica Book
-
-
Wolfram, S.1
|