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Published July 15, 1980 | public
Journal Article

Calculations related to quantum stochasticity, an example of overlapping avoided crossings

Abstract

In plots of eigenvalues of the Schrödinger equation versus a perturbation parameter, many avoided crossings are found in the classically stochastic regime for the system studied. None were observed in the classically quasi-periodic regime. Overlapping avoided crossings are suggested as a mechanism for making the vibrational wavefunction a "statistical" one.

Additional Information

© 1980 Published by Elsevier B.V. Received 26 March 1980, Revised 22 April 1980, Available online 25 October 2001. The research was sponsored by the US Department of Energy under contract W-7405-eng-26 with the Union Carbide Corp. (at Oak Ridge), the National Science Foundation (at California Institute of Technology) and the DOE (at Sandia National Laboratories). We also wish to thank Dr. J. Sullivan and R. Lemus for their help in using the IBM 3033.

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023