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Level Dynamics

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Quantum Signatures of Chaos

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 54))

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Abstract

As Pechukas discovered [1], the fate of the eigenvalues and eigenvectors of a Hamiltonian H = H 0 +λV upon variation of λ can be described by a set of ordinary firstorder differential equations. That set was interpreted by Yukawa [2, 3] as Hamilton’s equations for fictitious classical particles moving in one dimension as the “time” λ elapses.

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Authors and Affiliations

  1. Universität Duisburg-Essen, FB 7 Physik, Universitätsstr. 5, 45117, Essen, Germany

    Prof. Dr. Fritz Haake

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  1. Prof. Dr. Fritz Haake
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Haake, F. (2010). Level Dynamics. In: Quantum Signatures of Chaos. Springer Series in Synergetics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05428-0_6

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  • DOI: https://doi.org/10.1007/978-3-642-05428-0_6

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