Heat kernel expansion for semitransparent boundaries

被引:47
作者
Bordag, M
Vassilevic, DV
机构
[1] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany
[2] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 47期
关键词
D O I
10.1088/0305-4470/32/47/304
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the heat kernel for an operator of Laplace type with a delta-function potential concentrated on a closed surface. We derive the general form of the small t asymptotics and explicitly calculate several first heat kernel coefficients.
引用
收藏
页码:8247 / 8259
页数:13
相关论文
共 24 条
[1]   CASIMIR EFFECT FOR SOFT BOUNDARIES [J].
ACTOR, AA ;
BENDER, I .
PHYSICAL REVIEW D, 1995, 52 (06) :3581-3590
[2]   TIME-DEPENDENT PROPAGATOR WITH POINT INTERACTION [J].
ALBEVERIO, S ;
BRZEZNIAK, Z ;
DABROWSKI, L .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (14) :4933-4943
[3]  
Albeverio S., 1988, Solvable Models in Quantum Mechanics
[4]   The C2 heat-kernel coefficient in the presence of boundary discontinuities [J].
Apps, JS ;
Dowker, JS .
CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (05) :1121-1139
[5]  
Berezin F.A., 1961, Sov. Math. Dokl, V2, P372
[6]   Ground state energy of a spinor field in the background of a finite radius flux tube [J].
Bordag, M ;
Kirsten, K .
PHYSICAL REVIEW D, 1999, 60 (10)
[7]   Heat kernel coefficients of the Laplace operator on the D-dimensional ball [J].
Bordag, M ;
Elizalde, E ;
Kirsten, K .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (02) :895-916
[8]   Ground state energy for a penetrable sphere and for a dielectric ball [J].
Bordag, M ;
Kirsten, K ;
Vassilevich, D .
PHYSICAL REVIEW D, 1999, 59 (08)
[9]   VACUUM ENERGY IN QUANTUM-FIELD THEORY WITH EXTERNAL POTENTIALS CONCENTRATED ON PLANES [J].
BORDAG, M ;
HENNIG, D ;
ROBASCHIK, D .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (16) :4483-4498
[10]  
BORDAG M, 1998, HEPTH9812060