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Trace identities for the Schröedinger operator and the WKB method

  • 3. Spectral Problems
  • Conference paper
  • First Online:
The Riemann Problem, Complete Integrability and Arithmetic Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 925))

Abstract

Trace identities are derived for the operator p2+xq, q positive even. For q=4 these identities can be used to estimate the ground state energy within an accura cy of about 10−4.

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References

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Authors and Affiliations

  1. Laboratori Nazionali di Frascati, INFN, 00044, Frascati, Italy

    G. Parisi

Authors
  1. G. Parisi
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David V. Chudnovsky Gregory V. Chudnovsky

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© 1982 Springer-Verlag

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Parisi, G. (1982). Trace identities for the Schröedinger operator and the WKB method. In: Chudnovsky, D.V., Chudnovsky, G.V. (eds) The Riemann Problem, Complete Integrability and Arithmetic Applications. Lecture Notes in Mathematics, vol 925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093508

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  • DOI: https://doi.org/10.1007/BFb0093508

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11483-3

  • Online ISBN: 978-3-540-39152-4

  • eBook Packages: Springer Book Archive

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