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Fluctuations and Sensitivity in Nonequilibrium Systems pp 230–232Cite as

Solvable Double-Well Potential Models

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 1))

Abstract

Great attention has been paid to constructing exactly solvable double-well models. In this paper the Darboux transformation together with a new integral transformation are used to transform the Weber equation. By this means, solvable double-well potential models are obtained for both the Schrődinger equation and the Fokker-Planck equation.

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References

  1. W. M. Zheng, J. Math. Phys. 25, 88 (1984).

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  2. W. M. Zheng, J. Phys. A16, 43 (1983).

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  3. M. O. Hongler and W. M. Zheng, J. Stat. Phys. 29, 317 (1982).

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  4. M. O. Hongler and W. M. Zheng, J. Math. Phys. 24, 336 (1983).

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  5. W. M. Zheng, Physica, 122A, 431 (1983).

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Author information

Authors and Affiliations

  1. Center for Studies in Statistical Mechanics, University of Texas at Austin, Austin, TX, 78712, USA

    W. M. Zheng

Authors
  1. W. M. Zheng
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Editor information

Editors and Affiliations

  1. Department of Physics, Center for Studies in Statistical Mechanics, University of Texas, Austin, TX, 78712, USA

    Werner Horsthemke

  2. Center for Studies in Statistical Mechanics, University of Texas, Austin, TX, 78712, USA

    Dilip K. Kondepudi PhD

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© 1984 Springer-Verlag Berlin Heidelberg

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Zheng, W.M. (1984). Solvable Double-Well Potential Models. In: Horsthemke, W., Kondepudi, D.K. (eds) Fluctuations and Sensitivity in Nonequilibrium Systems. Springer Proceedings in Physics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46508-6_26

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  • DOI: https://doi.org/10.1007/978-3-642-46508-6_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46510-9

  • Online ISBN: 978-3-642-46508-6

  • eBook Packages: Springer Book Archive

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