EXACT AND QUASI-CLASSICAL FREDHOLM SOLUTIONS OF QUANTUM BILLIARDS

被引：44

作者：

GEORGEOT, B

PRANGE, RE

机构：

[1] Department of Physics, University of Maryland, College Park

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 74卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.74.2851

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum billiards are much studied as perhaps the simplest case which presents the central difficulty that the quasiclassical approximation is expressed as a divergent series. We find here, using the Fredholm method, an exact Green's function for billiards expressed as a ratio of absolutely convergent series. We make the quasiclassical approximation to this ratio. The method provides a convergence argument for previous results and an extension of results obtained for the spectrum to the full Green's function. © 1995 The American Physical Society.

引用

页码：2851 / 2854

页数：4

共 50 条

[31] QUASI-CLASSICAL PURE GYROSCOPE
RAFANELLI, K
NUOVO CIMENTO A, 1967, 52 (02): : 342 - +
[32] QUASI-CLASSICAL TRANSFORMATION THEORY
SCHILLER, R
PHYSICAL REVIEW, 1962, 125 (03): : 1109 - &
[33] On quasi-classical nature of spin
Ershova, Tamara P.
Gorobey, Natalia N.
Lukyanenko, Alexander S.
NINTH INTERNATIONAL WORKSHOP ON NONDESTRUCTIVE TESTING AND COMPUTER SIMULATIONS, 2006, 6253
[34] PULSAR MAGNETOSPHERES - CLASSICAL AND QUASI-CLASSICAL DESCRIPTIONS
DACOSTA, AA
ASTROPHYSICS AND SPACE SCIENCE, 1994, 216 (1-2) : 179 - 184
[35] Quantum interference by non-interacting classical trajectories evolving on a quasi-classical potential
Brooksby, C
Prezhdo, OV
CHEMICAL PHYSICS LETTERS, 2003, 378 (5-6) : 533 - 538
[36] COMPARISON OF SEMICLASSICAL, EXACT QUANTUM, AND QUASI-CLASSICAL REACTIVE TRANSITION PROBABILITIES FOR COLLINEAR H+H2 REACTION
BOWMAN, JM
KUPPERMA.A
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (03): : 379 - 379
[37] COMPARISON OF SEMICLASSICAL, EXACT QUANTUM, AND QUASI-CLASSICAL REACTIVE TRANSITION PROBABILITIES FOR COLLINEAR H+H2 REACTION
BOWMAN, JM
KUPPERMANN, A
CHEMICAL PHYSICS LETTERS, 1973, 19 (02) : 166 - 170
[38] Calculating TMDs of a large nucleus: Quasi-classical approximation and quantum evolution
Kovchegov, Yuri V.
Sievert, Matthew D.
NUCLEAR PHYSICS B, 2016, 903 : 164 - 203
[39] Low-temperature quasi-classical approximation for quantum macroscopic phenomena
V. S. Yarunin
Theoretical and Mathematical Physics, 1999, 119 : 640 - 659
[40] Quasi-classical Theory and Simulations of Hydrogen-like Quantum Plasmas
Ebeling, W.
Militzer, B.
Schautz, F.
Contributions to Plasma Physics, 37 (2-3):

← 1 2 3 4 5 →