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Spectrum estimations for the generalized quantum Henon-Heiles system

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Nonlinear Semigroups, Partial Differential Equations and Attractors

Part of the book series: Lecture Notes in Mathematics ((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.

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

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Tepper L. Gill Woodford William Zachary

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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

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