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Upper Bounds on Bogolubov’s Inner Product: Quantum Systems of Anharmonic Oscillators

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Stochastic Analysis and Mathematical Physics

Part of the book series: Trends in Mathematics ((TM))

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Abstract

An upper bound on the so-called Bogolubov Inner Product for creation and annihilation bose operators is obtained in the case of certain quantum systems of anharmonic oscillators as a straightforward application of domination of semigroups.

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References

  1. M. Corgini, and D.P. Sankovich, Rigorous estimates for cor-relation functions and existence of phase transitions in some models of interacting Bosons, Intl. J. of Mod. Phys. B 11 (28) (1997), 3329–3341.

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de La Serena, Benavente 980, La Serena, Chile

    M. Corgini

Authors
  1. M. Corgini
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Editor information

Editors and Affiliations

  1. Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casila 306, Santiago 22, Chile

    Rolando Rebolledo

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© 2000 Springer Science+Business Media New York

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Corgini, M. (2000). Upper Bounds on Bogolubov’s Inner Product: Quantum Systems of Anharmonic Oscillators. In: Rebolledo, R. (eds) Stochastic Analysis and Mathematical Physics. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1372-7_3

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  • DOI: https://doi.org/10.1007/978-1-4612-1372-7_3

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7118-5

  • Online ISBN: 978-1-4612-1372-7

  • eBook Packages: Springer Book Archive

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