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Solitons in the Quantum Toda Lattice

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Dynamical Problems in Soliton Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 30))

Abstract

One-dimensional quantum systems with continuous variables were treated exactly by Bethe’s ansatz beginning with the work of LIEB and LINIGER [1] and YANG and YANG [2] on the Bose gas with repulsive delta-function interactions. SUTHERLAND [3] generalized the method to other integrable systems, where Bethe’s ansatz does not give the exact but only the asymptotic wave functions; however, this is sufficient to obtain the ground state energy and the excitation spectrum.

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References

  1. E.H. Lieb, W. Liniger: Phys. Rev. 130, 1605 (1963) E.H. Lieb: Phys. Rev. 130, 1616 (1963)

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  2. C.N. Yang, C.P. Yang: J. Math. Phys. 10, 1115 (1969)

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  3. B. Sutherland: J. Math. Phys. 12, 246, 251 (1971)

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  4. B. Sutherland: Rocky Mount. J. of Math. 8, 413 (1978)

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  5. F.G. Mertens: Z. Physik B 55, 353 (1984)

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  6. F.G. Mertens, H. Büttner: EPS Conf., Antwerpen (1980), Europhys. Conf. Abstr. 3G, 46 (1980)

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  7. F.G. Mertens, W. Biem: J. Low Temp. Phys. 24, 379 (1975)

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© 1985 Springer-Verlag Berlin Heidelberg

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Mertens, F.G., Hader, M. (1985). Solitons in the Quantum Toda Lattice. In: Takeno, S. (eds) Dynamical Problems in Soliton Systems. Springer Series in Synergetics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02449-2_13

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  • DOI: https://doi.org/10.1007/978-3-662-02449-2_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02451-5

  • Online ISBN: 978-3-662-02449-2

  • eBook Packages: Springer Book Archive

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