Work

Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories

Year: 1979

Type: article

Abstract: Quantum stochasticity (the nature of wave functions and eigenvalues when the short-wave-limit Hamiltonian has stochastic trajectories) is studied for the two-dimensional Helmsholtz equation with "stadium" boundary. The eigenvalue separations have a Wigner distribution (characteristic of a random Hamiltonian), in contrast to the clustering found for a separable equation. The eigenfunctions exhibit a random pattern for the nodal curves, with isotropic distribution of local wave vectors.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.42.1189

Authors: Steven W. McDonald, Allan N. Kaufman

Institutions: Lawrence Berkeley National Laboratory, University of California, Berkeley

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1988575969

FWCI: 10.29

Cites: 11

Cited by: 596

Related to: 9