Relationship between Level Spacing Property and Matrix Element Distribution in Quantum Nonintegrable Systems

1 January 1989

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics Supplement

Vol. 98, 173-197
https://doi.org/10.1143/ptps.98.173

Abstract

We explore the origin of the universal level spacing property in the quantum Hamiltonian system. Applicability and limitation of the conventional random matrix theory as a suitable model of the Hamiltonian matrix are studied. We also discuss whether there exists any possibility of constructing the stochastic model for describing the real Hamiltonian system.

Keywords

LEVEL SPACING PROPERTY
STOCHASTIC
MODEL
MATRIX
HAMILTONIAN
QUANTUM
POSSIBILITY
NONINTEGRABLE

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