CaltechAUTHORS
  A Caltech Library Service

Comparison of quantal, classical, and semiclassical behavior at an isolated avoided crossing

Noid, D. W. and Koszykowski, M. L. and Marcus, R. A. (1983) Comparison of quantal, classical, and semiclassical behavior at an isolated avoided crossing. Journal of Chemical Physics, 78 (6). pp. 4018-4024. ISSN 0021-9606. https://resolver.caltech.edu/CaltechAUTHORS:20150617-105122572

[img] PDF - Published Version
See Usage Policy.

775kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20150617-105122572

Abstract

The quantal and classical/semiclassical behavior at an isloated avoided crossing are compared. While the quantum mechanical eigenvalue perturbation parameter plots exhibit the avoided crossing, the corresponding primitive semiclassical eigenvalue plots pass through the intersection. Otherwise, the eigenvalues agree well with the quantum mechanical values. The semiclassical splitting at the intersection is calculated from an appropriate Fourier transform. In the quasiperiodic regime, a quantum state near an avoided crossing is seen to exhibit typically more delocalization than the classical state. However, trajectories near the ‘‘separatrix’’ display a quasiperiodic ‘‘transition’’ between two zeroth order classical states.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.445127 DOIArticle
http://scitation.aip.org/content/aip/journal/jcp/78/6/10.1063/1.445127PublisherArticle
ORCID:
AuthorORCID
Marcus, R. A.0000-0001-6547-1469
Additional Information:© 1983 American Institute of Physics. Received 8 September 1982; accepted 21 October 1982. We are pleased to acknowledge the support of the present research by the U.S. Department of Energy under contract W-7405-eng-26 with the Union Carbide Corporation (at Oak Ridge) and by a grant from the National Science Foundation (at the California Institute of Technology).
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)W-7405-eng-26
NSFUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20150617-105122572
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150617-105122572
Official Citation:Comparison of quantal, classical, and semiclassical behavior at an isolated avoided crossing Noid, D. W. and Koszykowski, M. L. and Marcus, R. A., The Journal of Chemical Physics, 78, 4018-4024 (1983), DOI:http://dx.doi.org/10.1063/1.445127
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:58319
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:17 Jun 2015 18:45
Last Modified:22 Nov 2019 09:58

Repository Staff Only: item control page