Weyl formulas for quantum ray-splitting billiards

被引：20

作者：

Kohler, A ^{[1
]}

Blumel, R ^{[1
]}

机构：

[1] Univ Freiburg, Fak Phys, D-79104 Freiburg, Germany

来源：

ANNALS OF PHYSICS | 1998年 / 267卷 / 02期

关键词：

D O I：

10.1006/aphy.1998.5817

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive analytical expressions for the Weyl formulas of two- and three-dimensional ray-splitting billiards. Our analytical results are in excellent agreement with numerical checks. (C) 1998 Academic Press.

引用

页码：249 / 280

页数：32

共 27 条

[1]

Abramowitz M., 1964, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables

[2] GAUSSIAN ORTHOGONAL ENSEMBLE STATISTICS IN A MICROWAVE STADIUM BILLIARD WITH CHAOTIC DYNAMICS - PORTER-THOMAS DISTRIBUTION AND ALGEBRAIC DECAY OF TIME CORRELATIONS [J].

ALT, H ;

GRAF, HD ;

HARNEY, HL ;

HOFFERBERT, R ;

LENGELER, H ;

RICHTER, A ;

SCHARDT, P ;

WEIDENMULLER, HA .

PHYSICAL REVIEW LETTERS, 1995, 74 (01) :62-65

[3]

[Anonymous], GOTT NACH

[4]

Baltes H. P., 1976, Spectra of Finite Systems

[5] Signature of non-Newtonian orbits in ray-splitting cavities [J].

Bauch, S ;

Bledowski, A ;

Sirko, L ;

Koch, PM ;

Blumel, R .

PHYSICAL REVIEW E, 1998, 57 (01) :304-315

[6] DIABOLICAL POINTS IN THE SPECTRA OF TRIANGLES [J].

BERRY, MV ;

WILKINSON, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :15-43

[7] HIGH ORDERS OF THE WEYL EXPANSION FOR QUANTUM BILLIARDS - RESURGENCE OF PERIODIC-ORBITS, AND THE STOKES PHENOMENON [J].

BERRY, MV ;

HOWLS, CJ .

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1994, 447 (1931) :527-555

[8] Ray splitting and quantum chaos [J].

Blumel, R ;

Antonsen, TM ;

Georgeot, B ;

Ott, E ;

Prange, RE .

PHYSICAL REVIEW E, 1996, 53 (04) :3284-3302

[9]

BLUMEL R, 1996, PHYS BL, V52, P1243

[10]

BLUMEL R, 1997, CHAOS ATOMIC PHYSICS

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