-
1
-
-
0005215442
-
Spectral determinant on quantum graphs
-
Akkermans E, Comtet A, Desbois J, Montambaux G and Texier C 2000 Spectral determinant on quantum graphs Ann. Phys. 284 10-51
-
(2000)
Ann. Phys.
, vol.284
, Issue.1
, pp. 10-51
-
-
Akkermans, E.1
Comtet, A.2
Desbois, J.3
Montambaux, G.4
Texier, C.5
-
2
-
-
0000387327
-
The Ihara-Selberg zeta function of a tree lattice
-
Bass H 1992 The Ihara-Selberg zeta function of a tree lattice Int. J. Math. 3 717-97
-
(1992)
Int. J. Math.
, vol.3
, Issue.6
, pp. 717-797
-
-
Bass, H.1
-
4
-
-
64549161895
-
Mathematical aspects of vacuum energy on quantum graphs
-
arXiv:0711.2707
-
Berkolaiko G, Harrison J M and Wilson J H 2009 Mathematical aspects of vacuum energy on quantum graphs J. Phys. A: Math. Theor. 42 025204 (arXiv:0711.2707)
-
(2009)
J. Phys. A: Math. Theor.
, vol.42
, pp. 025204
-
-
Berkolaiko, G.1
Harrison, J.M.2
Wilson, J.H.3
-
5
-
-
0033550128
-
Two-point spectral correlations for star graphs
-
Berkolaiko G and Keating J P 1999 Two-point spectral correlations for star graphs J. Phys. A: Math. Gen. 32 7827-41
-
(1999)
J. Phys. A: Math. Gen.
, vol.32
, Issue.45
, pp. 7827-7841
-
-
Berkolaiko, G.1
Keating, J.P.2
-
6
-
-
0242290004
-
Intermediate wave-function statistics
-
arXiv:nlin.CD/0304034
-
Berkolaiko G, Keating J P and Winn B 2003 Intermediate wave-function statistics Phys. Rev. Lett. 91 134103 (arXiv:nlin.CD/0304034)
-
(2003)
Phys. Rev. Lett.
, vol.91
, Issue.13
, pp. 134103
-
-
Berkolaiko, G.1
Keating, J.P.2
Winn, B.3
-
8
-
-
63949084464
-
The trace formula for quantum graphs with general self adjoint boundary conditions
-
arXiv:0805.3111
-
Bolte J and Endres S 2009 The trace formula for quantum graphs with general self adjoint boundary conditions Ann. Henri Poincaŕ 10 189-223 (arXiv:0805.3111)
-
(2009)
Ann. Henri Poincaŕ
, vol.10
, Issue.1
, pp. 189-223
-
-
Bolte, J.1
Endres, S.2
-
9
-
-
22844454443
-
Eigenvalue problems on directed graphs
-
Carlson R 1999 Eigenvalue problems on directed graphs Trans. Am. Math. Soc. 99 4069-88
-
(1999)
Trans. Am. Math. Soc.
, vol.351
, Issue.10
, pp. 4069-4088
-
-
Carlson, R.1
-
10
-
-
2342425719
-
Casimir force on a piston
-
Cavalcanti R M 2004 Casimir force on a piston Phys. Rev. D 69 065015
-
(2004)
Phys. Rev.
, vol.69
, Issue.6
, pp. 065015
-
-
Cavalcanti, R.M.1
-
11
-
-
75949089808
-
Approximation of a general singular vertex coupling in quantum graphs
-
Cheon T, Exner P and Turek O 2010 Approximation of a general singular vertex coupling in quantum graphs Ann. Phys. 325 548-78
-
(2010)
Ann. Phys.
, vol.325
, Issue.3
, pp. 548-578
-
-
Cheon, T.1
Exner, P.2
Turek, O.3
-
13
-
-
0034711903
-
Spectral determinant of Schrdinger operators on graphs
-
Desbois J 2000 Spectral determinant of Schrdinger operators on graphs J. Phys. A: Math. Gen. 33 L63-7
-
(2000)
J. Phys. A: Math. Gen.
, vol.33
, Issue.7
-
-
Desbois, J.1
-
14
-
-
0043027988
-
Spectral determinant on graphs with generalized boundary conditions
-
DOI 10.1007/s100510170013
-
Desbois J 2001 Spectral determinant on graphs with generalized boundary conditions Eur. Phys. J. B 24 261-6 (Pubitemid 33624602)
-
(2001)
European Physical Journal B
, vol.24
, Issue.2
, pp. 261-266
-
-
Desbois, J.1
-
15
-
-
77249170451
-
The Berry-Keating operator on and compact quantum graphs with general self-adjoint realizations
-
arXiv:0912.3183
-
Endres S and Steiner F 2010 The Berry-Keating operator on and compact quantum graphs with general self-adjoint realizations J. Phys. A: Math. Theor. 43 095204 (arXiv:0912.3183)
-
(2010)
J. Phys. A: Math. Theor.
, vol.43
, pp. 095204
-
-
Endres, S.1
Steiner, F.2
-
16
-
-
79955060043
-
An exact trace formula and zeta functions for an infinite quantum graph with a non-standard Weyl asymptotics
-
arXiv:1104.1364
-
Endres S and Steiner F 2011 An exact trace formula and zeta functions for an infinite quantum graph with a non-standard Weyl asymptotics J. Phys. A: Math. Theor. 44 185202 (arXiv:1104.1364)
-
(2011)
J. Phys. A: Math. Theor.
, vol.44
, Issue.18
, pp. 185202
-
-
Endres, S.1
Steiner, F.2
-
17
-
-
70449629252
-
Approximation of quantum graph vertex couplings by scaled Schrdinger operators on thin branched manifolds
-
arXiv:0811.3707
-
Exner P and Post O 2009 Approximation of quantum graph vertex couplings by scaled Schrdinger operators on thin branched manifolds J. Phys. A: Math. Theor. 42 415305 (arXiv:0811.3707)
-
(2009)
J. Phys. A: Math. Theor.
, vol.42
, Issue.41
, pp. 415305
-
-
Exner, P.1
Post, O.2
-
18
-
-
41849133069
-
Determinant of the Schrdinger operator on a metric graph (Contemporary Mathematics)
-
ed G Berkolaiko, R Carlson, S A Fulling and P Kuchment (Providence, RI: American Mathematical Society)
-
Friedlander L 2006 Determinant of the Schrdinger operator on a metric graph Quantum Graphs and Their Applications (Contemporary Mathematics vol 415) ed G Berkolaiko, R Carlson, S A Fulling and P Kuchment (Providence, RI: American Mathematical Society) pp 151-60
-
(2006)
Quantum Graphs and Their Applications
, pp. 151-160
-
-
Friedlander, L.1
-
19
-
-
67650732918
-
Vacuum stress and closed paths in rectangles, pistons, and pistols
-
arXiv:0806.2468
-
Fulling S A, Kaplan L, Kirsten K, Liu Z H and Milton K A 2009 Vacuum stress and closed paths in rectangles, pistons, and pistols J. Phys. A: Math. Theor. 42 155402 (arXiv:0806.2468)
-
(2009)
J. Phys. A: Math. Theor.
, vol.42
, Issue.15
, pp. 155402
-
-
Fulling, S.A.1
Kaplan, L.2
Kirsten, K.3
Liu, Z.H.4
Milton, K.A.5
-
20
-
-
34547402189
-
Vacuum energy and repulsive Casimir forces in quantum star graphs
-
Fulling S, Kaplan L and Wilson J H 2007 Vacuum energy and repulsive Casimir forces in quantum star graphs Phys. Rev. A 76 012118
-
(2007)
Phys. Rev.
, vol.76
, Issue.1
, pp. 012118
-
-
Fulling, S.1
Kaplan, L.2
Wilson, J.H.3
-
21
-
-
33751192064
-
Quantum graphs: Applications to quantum chaos and universal spectral statistics
-
DOI 10.1080/00018730600908042, PII J5M6056553772216
-
Gnutzmann S and Smilansky U 2006 Quantum graphs: applications to quantum chaos and universal spectral statistics Adv. Phys. 55 527-625 (Pubitemid 44773296)
-
(2006)
Advances in Physics
, vol.55
, Issue.5-6
, pp. 527-625
-
-
Gnutzmann, S.1
Smilansky, U.2
-
22
-
-
0000305950
-
Zeta functions of finite graphs and representations of p-adic groups
-
Hashimoto K 1989 Zeta functions of finite graphs and representations of p-adic groups Adv. Studies Pure Math. 15 211-80
-
(1989)
Adv. Studies Pure Math.
, vol.15
, pp. 211-280
-
-
Hashimoto, K.1
-
24
-
-
34548431784
-
Casimir forces in a piston geometry at zero and finite temperatures
-
Hertzberg M P, Jaffe R L, Kardar M and Scardicchio A 2007 Casimir forces in a piston geometry at zero and finite temperatures Phys. Rev. D 76 045016
-
(2007)
Phys. Rev.
, vol.76
, Issue.4
, pp. 045016
-
-
Hertzberg, M.P.1
Jaffe, R.L.2
Kardar, M.3
Scardicchio, A.4
-
25
-
-
0012925102
-
-s die bei der Bestimmung der Klassenzahlen binrer quadratischer Formen auftreten
-
-s die bei der Bestimmung der Klassenzahlen binrer quadratischer Formen auftreten Z. Math. Phys. 27 86-101
-
(1882)
Z. Math. Phys.
, vol.27
, pp. 86-101
-
-
Hurwitz, A.1
-
26
-
-
84972492382
-
On discrete subgroups of the two by two projective linear groups over p-adic fields
-
Ihara Y 1966 On discrete subgroups of the two by two projective linear groups over p-adic fields J. Math. Soc. Japan 18 219-35
-
(1966)
J. Math. Soc. Japan
, vol.18
, Issue.3
, pp. 219-235
-
-
Ihara, Y.1
-
27
-
-
0242307817
-
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
-
Keating J P, Marklof J and Winn B 2003 Value distribution of the eigenfunctions and spectral determinants of quantum star graphs Commun. Math. Phys. 241 421-52 (Pubitemid 37364635)
-
(2003)
Communications in Mathematical Physics
, vol.241
, Issue.2-3
, pp. 421-452
-
-
Keating, J.P.1
Marklof, J.2
Winn, B.3
-
29
-
-
65249128568
-
Kaluza-Klein models as pistons
-
arXiv:0901.1902
-
Kirsten K and Fulling S A 2009 Kaluza-Klein models as pistons Phys. Rev. D 79 065019 (arXiv:0901.1902)
-
(2009)
Phys. Rev.
, vol.79
, Issue.6
, pp. 065019
-
-
Kirsten, K.1
Fulling, S.A.2
-
30
-
-
0346903966
-
Functional determinants by contour integration methods
-
DOI 10.1016/S0003-4916(03)00149-0
-
Kirsten K and McKane A J 2003 Functional determinants by contour integration methods Ann. Phys. 308 502-27 (Pubitemid 37544499)
-
(2003)
Annals of Physics
, vol.308
, Issue.2
, pp. 502-527
-
-
Kirsten, K.1
McKane, A.J.2
-
31
-
-
2442507885
-
Functional determinants for general Sturm-Liouville problems
-
DOI 10.1088/0305-4470/37/16/014, PII S0305447004767657
-
Kirsten K and McKane A J 2004 Functional determinants for general Sturm-Liouville problems J. Phys. A: Math. Gen. 37 4649-70 (Pubitemid 38613546)
-
(2004)
Journal of Physics A: Mathematical and General
, vol.37
, Issue.16
, pp. 4649-4670
-
-
Kirsten, K.1
McKane, A.J.2
-
32
-
-
38349166391
-
Computation of determinants using contour integrals
-
arXiv:0707.3755v1
-
Kirsten K and Loya P 2008 Computation of determinants using contour integrals Am. J. Phys. 76 60-4 (arXiv:0707.3755v1)
-
(2008)
Am. J. Phys.
, vol.76
, Issue.1
, pp. 60-64
-
-
Kirsten, K.1
Loya, P.2
-
33
-
-
36549081463
-
Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone
-
Kirsten K, Loya P and Park J 2008 Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone Manuscr. Math. 125 95-126
-
(2008)
Manuscr. Math.
, vol.125
, Issue.1
, pp. 95-126
-
-
Kirsten, K.1
Loya, P.2
Park, J.3
-
34
-
-
84867927166
-
Exotic expansions and pathological properties of ζ-functions on conic manifolds
-
arXiv:math/0511185v2
-
Kirsten K, Loya P and Park J 2008 Exotic expansions and pathological properties of ζ-functions on conic manifolds J. Geom. Anal. 18 835-88 (arXiv:math/0511185v2)
-
(2008)
J. Geom. Anal.
, vol.18
, Issue.3
, pp. 835-888
-
-
Kirsten, K.1
Loya, P.2
Park, J.3
-
35
-
-
73249121667
-
Heat kernels on metric graphs and a trace formula
-
ed F Germinet and P D Hislop (Providence, RI: American Mathematical Society)
-
Kostrykin V, Potthoff J and Schrader R 2007 Heat kernels on metric graphs and a trace formula Adventures in Mathematics (Contemporary Mathematics vol 447) ed F Germinet and P D Hislop (Providence, RI: American Mathematical Society) pp 175-98
-
(2007)
Adventures in Mathematics (Contemporary Mathematics)
, vol.447
, pp. 175-198
-
-
Kostrykin, V.1
Potthoff, J.2
Schrader, R.3
-
38
-
-
0347963946
-
Periodic orbit theory and spectral statistics for quantum graphs
-
Kottos T and Smilansky U 1999 Periodic orbit theory and spectral statistics for quantum graphs Ann. Phys. 274 76-124
-
(1999)
Ann. Phys.
, vol.274
, Issue.1
, pp. 76-124
-
-
Kottos, T.1
Smilansky, U.2
-
39
-
-
0036804366
-
Graph models of wave propogation in thin structures
-
Kuchment P 2002 Graph models of wave propogation in thin structures Waves Random Media 12 R1-24
-
(2002)
Waves Random Media
, vol.12
, Issue.4
, pp. 1-24
-
-
Kuchment, P.1
-
40
-
-
0942278598
-
Quantum graphs: I. Some basic structures
-
Kuchment P 2004 Quantum graphs: I. Some basic structures Waves Random Media 14 S107-28
-
(2004)
Waves Random Media
, vol.14
, Issue.1
-
-
Kuchment, P.1
-
41
-
-
51249090327
-
Quantum graphs: An introduction and a brief survey
-
ed P Exner, J P Keating, P Kuchment, T Sunada and A Teplyaev (Providence, RI: American Mathematical Society)
-
Kuchment P 2008 Quantum graphs: an introduction and a brief survey Analysis on Graphs and Its Applications (Proc. Symp. in Pure Mathematics vol 77) ed P Exner, J P Keating, P Kuchment, T Sunada and A Teplyaev (Providence, RI: American Mathematical Society) pp 291-312
-
(2008)
Analysis on Graphs and Its Applications
, pp. 291-312
-
-
Kuchment, P.1
-
42
-
-
0010072140
-
Le spectre du Laplacien sur un graphe
-
ed G Mokobodzki and D Pinchon (Berlin: Springer)
-
Roth J-P 1984 Le spectre du Laplacien sur un graphe Th́orie du potentiel (Lecture Notes in Maths vol 1096) ed G Mokobodzki and D Pinchon (Berlin: Springer) pp 521-39
-
(1984)
Th́orie du Potentiel (Lecture Notes in Maths Vol 1096)
, vol.1096
, pp. 521-539
-
-
Roth, J.-P.1
-
43
-
-
67650838139
-
Numerical calculation of the force on some generalized Casimir pistons
-
Schaden M 2009 Numerical calculation of the force on some generalized Casimir pistons J. Phys.: Conf. Ser. 161 012021
-
(2009)
J. Phys.: Conf. Ser.
, vol.161
, Issue.1
, pp. 012021
-
-
Schaden, M.1
-
44
-
-
0001738999
-
Complex powers of an elliptic operator
-
Providence, RI: American Mathematics Society
-
Seeley R T 1968 Complex powers of an elliptic operator Singular Integrals (Chicago, IL, 1966) (Proc. Symp. Pure Math. vol 10) (Providence, RI: American Mathematics Society) pp 288-307
-
(1968)
Singular Integrals (Chicago, IL, 1966)
, pp. 288-307
-
-
Seeley, R.T.1
-
45
-
-
0030585874
-
Zeta functions of finite graphs and coverings
-
DOI 10.1006/aima.1996.0050
-
Stark H M and Terras A A 1996 Zeta functions of finite graphs and coverings Adv. Math. 121 124-65 (Pubitemid 126161444)
-
(1996)
Advances in Mathematics
, vol.121
, Issue.1
, pp. 124-165
-
-
Stark, H.M.1
Terras, A.A.2
-
46
-
-
0003272332
-
L-functions in geometry and some applications
-
ed K Shiohama, T Sakai and T Sundada (Berlin: Springer)
-
Sunada T 1986 L-functions in geometry and some applications Curvature and Topology of Riemannian Manifolds (Lecture Notes in Maths vol 1201) ed K Shiohama, T Sakai and T Sundada (Berlin: Springer) pp 266-84
-
(1986)
Curvature and Topology of Riemannian Manifolds (Lecture Notes in Maths
, vol.1201
, pp. 266-284
-
-
Sunada, T.1
-
47
-
-
70350061624
-
Finite temperature Casimir effect in Kaluza-Klein spacetime
-
arXiv:0901.2195
-
Teo L P 2009 Finite temperature Casimir effect in Kaluza-Klein spacetime Nucl. Phys. B 819 431-52 (arXiv:0901.2195)
-
(2009)
Nucl. Phys.
, vol.819
, Issue.3
, pp. 431-452
-
-
Teo, L.P.1
-
48
-
-
78649654614
-
ζ-regularised spectral determinants on metric graphs
-
arXiv:1006.2163
-
Texier C 2010 ζ-regularised spectral determinants on metric graphs J. Phys. A: Math. Theor. 43 425203 (arXiv:1006.2163)
-
(2010)
J. Phys. A: Math. Theor.
, vol.43
, Issue.42
, pp. 425203
-
-
Texier, C.1
|