Evaluation of ensemble averages for simple Hamiltonians perturbed by a GOE interaction

J. Verbaarschot; H. A. Weidenmüller; M. Zirnbauer

doi:10.1016/0003-4916(84)90023-X

Evaluation of ensemble averages for simple Hamiltonians perturbed by a GOE interaction

J. Verbaarschot
, H. A. Weidenmüller
, M. Zirnbauer

Physics and Astronomy

Max Planck Institute for Nuclear Physics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

Using an expansion in powers of N^-1, where N is the dimension of the Hamiltonian matrix, we evaluate ensemble averages of the resolvent, of products involving several resolvents, and of the moments of the Hamiltonian H₀ + λV. Here, H₀ is arbitrary but fixed, and V is a GOE ensemble. The nature of the N^-1 expansion is also discussed.

Original language	English
Pages (from-to)	367-388
Number of pages	22
Journal	Annals of Physics
Volume	153
Issue number	2
DOIs	https://doi.org/10.1016/0003-4916(84)90023-X
State	Published - Apr 1 1984

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title = "Evaluation of ensemble averages for simple Hamiltonians perturbed by a GOE interaction",

abstract = "Using an expansion in powers of N-1, where N is the dimension of the Hamiltonian matrix, we evaluate ensemble averages of the resolvent, of products involving several resolvents, and of the moments of the Hamiltonian H0 + λV. Here, H0 is arbitrary but fixed, and V is a GOE ensemble. The nature of the N-1 expansion is also discussed.",

author = "J. Verbaarschot and Weidenm{\"u}ller, \{H. A.\} and M. Zirnbauer",

year = "1984",

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AU - Verbaarschot, J.

AU - Weidenmüller, H. A.

AU - Zirnbauer, M.

PY - 1984/4/1

Y1 - 1984/4/1

N2 - Using an expansion in powers of N-1, where N is the dimension of the Hamiltonian matrix, we evaluate ensemble averages of the resolvent, of products involving several resolvents, and of the moments of the Hamiltonian H0 + λV. Here, H0 is arbitrary but fixed, and V is a GOE ensemble. The nature of the N-1 expansion is also discussed.

AB - Using an expansion in powers of N-1, where N is the dimension of the Hamiltonian matrix, we evaluate ensemble averages of the resolvent, of products involving several resolvents, and of the moments of the Hamiltonian H0 + λV. Here, H0 is arbitrary but fixed, and V is a GOE ensemble. The nature of the N-1 expansion is also discussed.

UR - https://www.scopus.com/pages/publications/0001159333

U2 - 10.1016/0003-4916(84)90023-X

DO - 10.1016/0003-4916(84)90023-X

M3 - Article

AN - SCOPUS:0001159333

SN - 0003-4916

VL - 153

SP - 367

EP - 388

JO - Annals of Physics

JF - Annals of Physics

IS - 2

ER -

Evaluation of ensemble averages for simple Hamiltonians perturbed by a GOE interaction

Abstract

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