SCARS IN GROUPS OF EIGENSTATES IN A CLASSICALLY CHAOTIC SYSTEM

被引：76

作者：

DEPOLAVIEJA, GG ^{[1
]}

BORONDO, F ^{[1
]}

BENITO, RM ^{[1
]}

机构：

[1] UNIV POLITECN MADRID, ESCUELA TECN SUPER INGN TELECOMUN, DEPT FIS APLICADA, E-28040 MADRID, SPAIN

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 73卷 / 12期

关键词：

D O I：

10.1103/PhysRevLett.73.1613

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general method to construct wave functions highly localized on a given periodic orbit, using the information contained in the short term quantum dynamics of the system, is presented. The relationship with the Husimi's quasiprobability distribution in phase space is also discussed.

引用

收藏

页码：1613 / 1616

页数：4

相关论文

共 27 条

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

BERRY, MV .

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

[2] SMOOTHED WAVE-FUNCTIONS OF CHAOTIC QUANTUM-SYSTEMS [J].

BOGOMOLNY, EB .

PHYSICA D, 1988, 31 (02) :169-189

[3] MANIFESTATIONS OF CLASSICAL PHASE-SPACE STRUCTURES IN QUANTUM-MECHANICS [J].

BOHIGAS, O ;

TOMSOVIC, S ;

ULLMO, D .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1993, 223 (02) :43-133

[4] EXISTENCE OF STABLE ORBITS IN THE X2Y2 POTENTIAL [J].

DAHLQVIST, P ;

RUSSBERG, G .

PHYSICAL REVIEW LETTERS, 1990, 65 (23) :2837-2838

[5]

DEVERDIERE YC, 1985, COMMUN MATH PHYS, V102, P497

[6] PHASE-SPACE ANALYSIS OF CHAOTIC SPECTRA IN A CONSERVATIVE HAMILTONIAN SYSTEM [J].

ECKHARDT, B ;

LLORENTE, JMG ;

POLLAK, E .

CHEMICAL PHYSICS LETTERS, 1990, 174 (3-4) :325-332

[7] 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

[8] PERIODIC ORBITS AND CLASSICAL QUANTIZATION CONDITIONS [J].

GUTZWILL.MC .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (03) :343-&

[9] CLASSICAL QUANTIZATION OF A HAMILTONIAN WITH ERGODIC BEHAVIOR [J].

GUTZWILLER, MC .

PHYSICAL REVIEW LETTERS, 1980, 45 (03) :150-153

[10]

HASEGAWA H, 1989, PROG THEOR PHYS SUPP, P198, DOI 10.1143/PTPS.98.198