ON THE QUANTIZATION OF ARNOLD CAT

被引：22

作者：

KNABE, S

机构：

[1] Fachbereich Math., Tech. Univ. Berlin

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 11期

关键词：

D O I：

10.1088/0305-4470/23/11/025

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Characterises the quantisation UA of the classical map A in SL(2, Z) using the Heisenberg group, constructs the eigenstates for N=perfect square (where =2 pi /N) and shows that the Fourier components of the Wigner functions of a complete set of eigenstates go to zero for N=p2, p ′, p to infinity , A hyperbolic.

引用

页码：2013 / 2025

页数：13

共 21 条

[1]

Arnold V.I., 1968, ERGODIC PROBLEMS CLA

[2] BORN-OPPENHEIMER ADIABATIC MECHANISM FOR REGULARITY OF STATES IN THE QUANTUM STADIUM BILLIARD [J].

BAI, YY ;

HOSE, G ;

STEFANSKI, K ;

TAYLOR, HS .

PHYSICAL REVIEW A, 1985, 31 (05) :2821-2826

[3] THE QUANTIZED BAKERS TRANSFORMATION [J].

BALAZS, NL ;

VOROS, A .

EUROPHYSICS LETTERS, 1987, 4 (10) :1089-1094

[4] THE QUANTIZED BAKERS TRANSFORMATION [J].

BALAZS, NL ;

VOROS, A .

ANNALS OF PHYSICS, 1989, 190 (01) :1-31

[5] REGULAR AND IRREGULAR SEMICLASSICAL WAVEFUNCTIONS [J].

BERRY, MV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1977, 10 (12) :2083-2091

[6] QUANTUM SCARS OF CLASSICAL CLOSED ORBITS IN PHASE-SPACE [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 423 (1864) :219-231

[7]

BOGUMOLNY EB, 1988, PHYSICA D, V31, P169

[8] EXACT EIGENFUNCTIONS FOR A QUANTIZED MAP [J].

ECKHARDT, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (10) :1823-1831

[9] QUANTUM-MECHANICS OF A CLASSICALLY CHAOTIC SYSTEM - OBSERVATIONS ON SCARS, PERIODIC-ORBITS, AND VIBRATIONAL ADIABATICITY [J].

ECKHARDT, B ;

HOSE, G ;

POLLAK, E .

PHYSICAL REVIEW A, 1989, 39 (08) :3776-3793

[10]

ESPOSTI MD, 1989, UNPUB

← 1 2 3 →