ZETA-FUNCTION OF THE BESSEL OPERATOR ON THE NEGATIVE REAL AXIS

被引：38

作者：

LESEDUARTE, S ^{[1
]}

ROMEO, A ^{[1
]}

机构：

[1] UNIV BARCELONA,FAC MATEMAT,DEPT MATEMAT APLICADA & ANAL,E-08071 BARCELONA,SPAIN

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 07期

关键词：

D O I：

10.1088/0305-4470/27/7/025

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the pole structure of the zeta function zetaA(nu) (s) = SIGMA(k) lambda(k)-s built out of the eigenvalues lambda(k) of a Bessel operator A(nu) subject to Dirichlet boundary conditions at one end of the domain. This leads us to the study of zetaA(nu) on the negative real axis, where most of the singularities occur.

引用

页码：2483 / 2495

页数：13

共 16 条

[1] ZETA-FUNCTIONS ON THE NON-POSITIVE REAL AXIS [J].

ACTOR, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (07) :767-782

[2] STATISTICS OF ENERGY-LEVELS WITHOUT TIME-REVERSAL SYMMETRY - AHARONOV-BOHM CHAOTIC BILLIARDS [J].

BERRY, MV ;

ROBNIK, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05) :649-668

[3] SPECTRAL ZETA-FUNCTIONS FOR AHARONOV-BOHM QUANTUM BILLIARDS [J].

BERRY, MV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (12) :2281-2296

[4] IMPROVED EIGENVALUE SUMS FOR INFERRING QUANTUM BILLIARD GEOMETRY [J].

BERRY, MV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (09) :2389-2403

[5] ZETA-FUNCTIONS AND THE CASIMIR ENERGY [J].

BLAU, SK ;

VISSER, M ;

WIPF, A .

NUCLEAR PHYSICS B, 1988, 310 (01) :163-180

[6] QUANTUM ELECTROMAGNETIC ZERO-POINT ENERGY OF A CONDUCTING SPHERICAL SHELL AND CASIMIR MODEL FOR A CHARGED PARTICLE [J].

BOYER, TH .

PHYSICAL REVIEW, 1968, 174 (05) :1764-&

[7] CASIMIR SELF-STRESS ON A PERFECTLY CONDUCTING CYLINDRICAL-SHELL [J].

DERAAD, LL ;

MILTON, KA .

ANNALS OF PHYSICS, 1981, 136 (02) :229-242

[8] SUM-RULES FOR ZEROS OF BESSEL-FUNCTIONS AND AN APPLICATION TO SPHERICAL AHARONOV-BOHM QUANTUM BAGS [J].

ELIZALDE, E ;

LESEDUARTE, S ;

ROMEO, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (10) :2409-2419

[9]

Gilkey P. B., 1975, J DIFFER GEOM, V10, P601, DOI [DOI 10.4310/JDG/1214433164, 10.4310/jdg/1214433164]

[10] SUM-RULES FOR QUANTUM BILLIARDS [J].

ITZYKSON, C ;

MOUSSA, P ;

LUCK, JM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (03) :L111-L115

← 1 2 →