QUANTUM EIGENVALUES FROM CLASSICAL PERIODIC-ORBITS

被引：83

作者：

TANNER, G

SCHERER, P

BOGOMONLY, EB

ECKHARDT, B

WINTGEN, D

机构：

[1] FORSCHUNGSZENTRUM JULICH, FORSCHUNGSZENTRUM, INST FESTKORPERFORSCH, W-5170 JULICH 1, GERMANY

[2] LD LANDAU INST THEORET PHYS, CHERNOGOLOVKA 142432, USSR

[3] UNIV MARBURG, FACHBEREICH PHYS, W-3550 MARBURG, GERMANY

[4] MAX PLANCK INST NUCL PHYS, W-6900 HEIDELBERG 1, GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 67卷 / 18期

关键词：

D O I：

10.1103/PhysRevLett.67.2410

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We combine the cycle-expansion method with a functional equation to obtain highly excited semiclassical energy eigenvalues for chaotic Hamiltonian systems. Applications to the anisotropic Kepler problem and to a bounded billiard demonstrate the power of the method. The agreement with quantum results is surprisingly good even for highly excited states.

引用

页码：2410 / 2413

页数：4

共 29 条

[1] RECYCLING OF STRANGE SETS .1. CYCLE EXPANSIONS [J].

ARTUSO, R ;

AURELL, E ;

CVITANOVIC, P .

NONLINEARITY, 1990, 3 (02) :325-359

[2] RECYCLING OF STRANGE SETS .2. APPLICATIONS [J].

ARTUSO, R ;

AURELL, E ;

CVITANOVIC, P .

NONLINEARITY, 1990, 3 (02) :361-386

[3] QUANTUM CHAOS OF THE HADAMARD-GUTZWILLER MODEL [J].

AURICH, R ;

SIEBER, M ;

STEINER, F .

PHYSICAL REVIEW LETTERS, 1988, 61 (05) :483-487

[4] CHAOS ON THE PSEUDOSPHERE [J].

BALAZS, NL ;

VOROS, A .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1986, 143 (03) :109-240

[5] SOLUTION OF SCHRODINGER EQUATION IN TERMS OF CLASSICAL PATHS [J].

BALIAN, R ;

BLOCH, C .

ANNALS OF PHYSICS, 1974, 85 (02) :514-545

[6]

Berry M. V., 1986, Quantum Chaos and Statistical Nuclear Physics. Proceedings of the 2nd International Conference on Quantum Chaos and the 4th International Colloquium on Statistical Nuclear Physics, P1

[7] A RULE FOR QUANTIZING CHAOS [J].

BERRY, MV ;

KEATING, JP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (21) :4839-4849

[8]

Bogomolny E. B., 1990, Comments on Atomic and Molecular Physics, V25, P67

[9] PERIODIC-ORBIT QUANTIZATION OF CHAOTIC SYSTEMS [J].

CVITANOVIC, P ;

ECKHARDT, B .

PHYSICAL REVIEW LETTERS, 1989, 63 (08) :823-826

[10] INVARIANT MEASUREMENT OF STRANGE SETS IN TERMS OF CYCLES [J].

CVITANOVIC, P .

PHYSICAL REVIEW LETTERS, 1988, 61 (24) :2729-2732

← 1 2 3 →