Shnirelman Peak in Level Spacing Statistics

B. V. Chirikov; D. L. Shepelyansky

doi:10.1103/PhysRevLett.74.518

Shnirelman Peak in Level Spacing Statistics

B. V. Chirikov and D. L. Shepelyansky

Phys. Rev. Lett. 74, 518 – Published 23 January 1995

Abstract

The first results on statistical properties of quantum quasidegeneracy are presented. A physical interpretation of the Shnirelman theorem which predicted bulk quasidegeneracy is given. Conditions for the strong impact of degeneracy on quantum level statistics are formulated, which allow us to extend the application of the Shnirelman theorem to a broad class of quantum systems.

Received 11 March 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.518

Authors & Affiliations

B. V. Chirikov and D. L. Shepelyansky

Laboratoire de Physique Quantique, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France and Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia