UNIVERSAL SPECTRAL CORRELATION BETWEEN HAMILTONIANS WITH DISORDER .2.

被引：10

作者：

DANNA, J ^{[1
]}

BREZIN, E ^{[1
]}

ZEE, A ^{[1
]}

机构：

[1] ECOLE NORMALE SUPER, PHYS THEOR LAB, F-75231 PARIS, FRANCE

来源：

NUCLEAR PHYSICS B | 1995年 / 443卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(95)00065-Z

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We calculate the cross-correlation function between the eigenvalues of two random hermitian matrices taken from separate gaussian ensembles. In the limit of large matrices the correlation, when suitably smoothed, reproduces a previous result obtained by diagrammatic methods. Unlike previous results, however, this unsmoothed correlation function may be studied at short distances.

引用

页码：433 / 443

页数：11

共 14 条

[1] RANDOM-MATRIX THEORY OF PARAMETRIC CORRELATIONS IN THE SPECTRA OF DISORDERED METALS AND CHAOTIC BILLIARDS [J].

BEENAKKER, CWJ ;

REJAEI, B .

PHYSICA A, 1994, 203 (01) :61-90

[2] UNIVERSAL SPECTRAL CORRELATION BETWEEN HAMILTONIANS WITH DISORDER [J].

BREZIN, E ;

ZEE, A .

NUCLEAR PHYSICS B, 1994, 424 (03) :435-442

[3] UNIVERSALITY OF THE CORRELATIONS BETWEEN EIGENVALUES OF LARGE RANDOM MATRICES [J].

BREZIN, E ;

ZEE, A .

NUCLEAR PHYSICS B, 1993, 402 (03) :613-627

[4]

BREZIN E, 1993, CR HEBD ACAD SCI, V17, P735

[5] PLANAR APPROXIMATION .2. [J].

ITZYKSON, C ;

ZUBER, JB .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (03) :411-421

[6]

Mehta M.L, 2004, RANDOM MATRICES, V142

[7]

MEHTA ML, 1994, SACLAY PREPRINT

[8] DYSON BROWNIAN-MOTION AND UNIVERSAL DYNAMICS OF QUANTUM-SYSTEMS [J].

NARAYAN, O ;

SHASTRY, BS .

PHYSICAL REVIEW LETTERS, 1993, 71 (13) :2106-2109

[9] EIGENVALUE CORRELATIONS IN THE CIRCULAR ENSEMBLES [J].

PANDEY, A ;

SHUKLA, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (16) :3907-3926

[10]

PICHARD JL, 1991, NATO ASI SER B, V254

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