MONODROMY IN THE CHAMPAGNE BOTTLE

被引：60

作者：

BATES, LM

机构：

[1] Dept of Mathematics, University of Calgary, Calgary, T2N 1N4, Alberta

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1991年 / 42卷 / 06期

关键词：

D O I：

10.1007/BF00944566

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Hamiltonian description of a particle moving in a potential field shaped like the punt of a champagne bottle (more properly an S1 symmetric double well) has monodromy, which is a global obstruction to the construction of action-angle variables.

引用

页码：837 / 847

页数：11

共 11 条

[1] BABBITT D, 1989, LOCAL MODULI MEROMOR
[2] BATES L, UNPUB DEGENERATION C
[3] EXAMPLES FOR OBSTRUCTIONS TO ACTION-ANGLE COORDINATES
BATES, LM
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1988, 110 : 27 - 30
[4] CUSHMAN R, 1985, LECT NOTES MATH, V1139, P12
[5] CUSHMAN R, 1983, CWI NEWSLETTER, V1, P4
[6] ON GLOBAL ACTION-ANGLE COORDINATES
DUISTERMAAT, JJ
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (06) : 687 - 706
[7] FORSTER O, 1981, LECTURES RIEMANN SUR
[8] HOROZOV E, 1990, J REINE ANGEW MATH, V408, P114
[9] Poor W., 1981, DIFFERENTIAL GEOMETR
[10] VANDERMEER JC, 1985, LECT NOTES MATH, V1160

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