THE PARAMETRIC NUMBER VARIANCE

被引：59

作者：

GOLDBERG, J

SMILANSKY, U

BERRY, MV

SCHWEIZER, W

WUNNER, G

ZELLER, G

机构：

[1] UNIV BRISTOL,HH WILLS PHYS LAB,BRISTOL BS8 1TL,AVON,ENGLAND

[2] UNIV TUBINGEN,LEHRSTUHL THEORET ASTROPHYS,W-7400 TUBINGEN 1,GERMANY

来源：

NONLINEARITY | 1991年 / 4卷 / 01期

关键词：

D O I：

10.1088/0951-7715/4/1/001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a new statistic, the parametric number variance, which measures the correlation of fluctuations in energy levels as a parameter external to the system is varied. A semiclassical formula is obtained and regimes of universal and system dependent behaviour are predicted. Numerical calculations of the PNV in two model systems are found to be in good agreement with the semiclassical theory.

引用

收藏

页码：1 / 14

页数：14

相关论文

共 17 条

[1]

[Anonymous], 1967, RANDOM MATRICES

[2] 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

[3] SEMICLASSICAL THEORY OF SPECTRAL RIGIDITY [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1985, 400 (1819) :229-251

[4] IMPROVED EIGENVALUE SUMS FOR INFERRING QUANTUM BILLIARD GEOMETRY [J].

BERRY, MV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (09) :2389-2403

[5]

BLUMEL R, 1988, Z PHYS D ATOM MOL CL, V9, P95, DOI 10.1007/BF01384259

[6]

BOHIGAS O, 1984, LECT NOTES PHYS, V209, P1

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

GUTZWILL.MC .

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

[8] PERIODIC-ORBITS AND A CORRELATION-FUNCTION FOR THE SEMICLASSICAL DENSITY OF STATES [J].

HANNAY, JH ;

DEALMEIDA, AMO .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (18) :3429-3440

[9] STATISTICAL PROPERTIES OF MANY-PARTICLE SPECTRA .3. ERGODIC BEHAVIOR IN RANDOM-MATRIX ENSEMBLES [J].

PANDEY, A .

ANNALS OF PHYSICS, 1979, 119 (01) :170-191

[10] QUANTIZING A GENERIC FAMILY OF BILLIARDS WITH ANALYTIC BOUNDARIES [J].

ROBNIK, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (05) :1049-1074