Ramaswamy, Ramakrishna and Marcus, R. A. (1981) Perturbative examination of avoided crossings. Journal of Chemical Physics, 74 (2). pp. 1379-1384. ISSN 0021-9606 http://resolver.caltech.edu/CaltechAUTHORS:RAMjcp81b
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Quantum perturbation theory is used to examine the eigenvalues of a nonseparable Hamiltonian system in the classically regular and irregular regimes. As a function of the perturbation parameter, the eigenvalues obtained by exact (matrix diagonalization) methods undergo an avoided crossing. In the present paper perturbation theory is used as an approximate method to predict the locations of such avoided crossings in energy-parameter space. The sparsity of such avoided crossings in the Hénon–Heiles system is seen to produce regular sequences in the eigenvalues even when the classical motion is predominantly chaotic.
|Additional Information:||Copyright © 1981 American Institute of Physics. Received 16 June 1980; accepted 26 September 1980. We are pleased to acknowledge the support of this research by a grant from the National Science Foundation. Arthur Amos Noyes Laboratory of Chemical Physics, Contribution No. 6244.|
|Subject Keywords:||PERTURBATION THEORY, EIGENVALUES, QUANTUM MECHANICS, HAMILTONIAN FUNCTION|
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|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||29 Jul 2008 20:55|
|Last Modified:||26 Dec 2012 10:12|
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