Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches

被引：43

作者：

Amann, C ^{[1
]}

Brack, M ^{[1
]}

机构：

[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 29期

关键词：

D O I：

10.1088/0305-4470/35/29/306

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the semiclassical approaches for describing systems with spin-orbit interactions. We use these methods to derive trace formulae for several two- and three-dimensional model systems, and exhibit their successes and limitations. We also discuss, in particular, the mode conversion problem that arises in the strong-coupling limit.

引用

页码：6009 / 6032

页数：24

共 49 条

[1]

AMANN C, 2001, THESIS U REGENSBURG

[2]

[Anonymous], QUANTUM SIGNATURES C

[3] DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE-EQUATION IN A FINITE DOMAIN .3. EIGENFREQUENCY DENSITY OSCILLATIONS [J].

BALIAN, R ;

BLOCH, C .

ANNALS OF PHYSICS, 1972, 69 (01) :76-&

[4]

BERGGREN KF, 2001, PHYS SR T, V90

[5] LEVEL CLUSTERING IN REGULAR SPECTRUM [J].

BERRY, MV ;

TABOR, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1686) :375-394

[6] SEMICLASSICAL APPROXIMATIONS IN WAVE MECHANICS [J].

BERRY, MV ;

MOUNT, KE .

REPORTS ON PROGRESS IN PHYSICS, 1972, 35 (04) :315-+

[7] CLOSED ORBITS AND REGULAR BOUND SPECTRUM [J].

BERRY, MV ;

TABOR, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1976, 349 (1656) :101-123

[8] A semiclassical approach to the dirac equation [J].

Bolte, J ;

Keppeler, S .

ANNALS OF PHYSICS, 1999, 274 (01) :125-162

[9] Semiclassical time evolution and trace formula for relativistic spin-1/2 particles [J].

Bolte, J ;

Keppeler, S .

PHYSICAL REVIEW LETTERS, 1998, 81 (10) :1987-1991

[10] ANALYTICAL TESTS OF GUTZWILLERS TRACE FORMULA FOR HARMONIC-OSCILLATOR POTENTIALS [J].

BRACK, M ;

JAIN, SR .

PHYSICAL REVIEW A, 1995, 51 (05) :3462-3468

← 1 2 3 4 5 →