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Spectrum estimations for the generalized quantum Henon-Heiles system

Part of the Lecture Notes in Mathematics book series (LNM,volume 1394)

Abstract

We propose an explicit unitary discretization of the Heisenberg equations associated to a general quantum system with two degrees of freedom. In the framework of this approximation we extract information related to the energy spectrum of the generalized quantum Henon-Heiles system.

Keywords

  • Spectrum Estimation
  • Heisenberg Equation
  • Unique Positive Root
  • Quantum Spectrum
  • Classical Phenomenology

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Partially supported by U.S.-Spanish Joint Committee for Scientific and Technological Cooperation under grant No CCB-8509/001.

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© 1989 Springer-Verlag

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Rodríguez, M.J., Vázquez, L. (1989). Spectrum estimations for the generalized quantum Henon-Heiles system. In: Gill, T.L., Zachary, W.W. (eds) Nonlinear Semigroups, Partial Differential Equations and Attractors. Lecture Notes in Mathematics, vol 1394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086758

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  • DOI: https://doi.org/10.1007/BFb0086758

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51594-4

  • Online ISBN: 978-3-540-46679-6

  • eBook Packages: Springer Book Archive