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Semiclassical density of degeneracies in quantum regular systems - MaRDI portal

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Semiclassical density of degeneracies in quantum regular systems

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Publication:4496316

DOI10.1088/0305-4470/33/12/303zbMATH Open0991.81026arXivquant-ph/9908044OpenAlexW2043073917MaRDI QIDQ4496316

Author name not available (Why is that?)

Publication date: 13 August 2000

Published in: (Search for Journal in Brave)

Abstract: The spectrum of eigenenergies of a quantum integrable system whose hamiltonian depends on a single parameter shows degeneracies (crossings) when the parameter varies. We derive a semiclassical expression for the density of crossings in the plane energy-parameter, that is the number of crossings per unit of energy and unit of parameter, in terms of classical periodic orbits. We compare the results of the semiclassical formula with exact quantum calculations for two specific quantum integrable billiards.


Full work available at URL: https://arxiv.org/abs/quant-ph/9908044



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