Quantum level statistics of pseudointegrable billiards

Journal Article · Mon Jun 12 04:00:00 EDT 1989 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.62.2769· OSTI ID:6008720

Cheon, T; Cohen, T D

We study the spectral statistics of systems of two-dimensional pseudointegrable billiards. These systems are classically nonergodic, but nonseparable. It is found that such systems possess quantum spectra which are closely simulated by the Gaussian orthogonal ensemble. We discuss the implications of these results on the conjectured relation between classical chaos and quantum level statistics. We emphasize the importance of the semiclassical nature of any such relation.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742(US)
• OSTI ID: 6008720
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 62:24; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
ENERGY SPECTRA
EQUATIONS
ERGODIC HYPOTHESIS
FUNCTIONS
HAMILTONIAN FUNCTION
HYPOTHESIS
KOLMOGOROV EQUATION
MECHANICS
NUCLEAR POTENTIAL
NUMERICAL SOLUTION
POTENTIALS
QUANTUM MECHANICS
SPECTRA
SQUARE-WELL POTENTIAL
STATISTICAL MECHANICS
TWO-DIMENSIONAL CALCULATIONS