Singular Bohr-Sommerfeld rules

被引：40
作者：
de Verdière, YC
Parisse, B
机构：
[1] Inst Univ France, F-38402 St Martin Dheres, France
[2] Inst Fourier, CNRS, UJF 5582, Unite Mixte Rech, F-38402 St Martin Dheres, France
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 205卷 / 02期
关键词：
D O I：
10.1007/s002200050686
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The object of this paper is to present, a geometrical formulation of the singular Bohr-Sommerfeld rules given in [8], in a more general context, including characteristic manifolds with several saddle points. Several examples are detailed and numerical checkings of the results are provided.
引用
收藏
页码：459 / 500
页数：42
相关论文
共 27 条
[1]   SEMICLASSICAL QUANTIZATION RULES NEAR SEPARATRICES [J].
BLEHER, PM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 165 (03) :621-640
[2]   Unfolding the quartic oscillator [J].
Delabaere, E ;
Pham, F .
ANNALS OF PHYSICS, 1997, 261 (02) :180-218
[3]   Exact semiclassical expansions for one-dimensional quantum oscillators [J].
Delabaere, E ;
Dillinger, H ;
Pham, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (12) :6126-6184
[4]  
DEVERDIERE JY, 1979, TOPOLOGY, V18, P283
[5]   UNSTABLE EQUILIBRIUM IN A SEMICLASSICAL REGIME - MICROLOCAL CONCENTRATION [J].
DEVERDIERE, YC ;
PARISSE, B .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1994, 19 (9-10) :1535-1563
[6]  
DEVERDIERE YC, 1994, ANN I H POINCARE-PHY, V61, P347
[7]  
DEVERDIERE YC, IN PRESS ANN IHP
[8]  
DEVERDIERE YC, 1997, SEM PHYS MATH I FOUR
[9]  
DEVERDIERE YC, 1999, UNPUB SINGULAR BOHRS
[10]  
DEVERDIERE YC, 1999, PREPUBLICATION I FOU, V412, P1
123