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Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 26/1984))

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Abstract

The purpose of this article is to describe some progress in understanding the ground state energy of an interacting Bose gas. In particular we would like to understand if a formula obtained by Bogoliubov does in fact give the correct value for the ground state energy. In the early 1960’s there were several papers on the Bogoliubov formula - see [4] for a review - but since then interest seems to have waned.

Seminar given at the XXIII. Internationale Universitätswochen für Kernphysik, Schladming, Austria, February 20-March 1, 1984.

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References

  1. F. Dyson, Ground State Energy of a Finite System of Charged Particles, J. Math. Phys. 8 (1967) 1533–1545.

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  2. L. Foldy, Charged Boson Gas, Phys. Rev. 124, (1961) 649–651.

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  3. E. Lieb, Simplified approach to the ground state energy of an imperfect Bose gas, Phys. Rev. 130, (1963) 2518–2528.

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  4. E. Lieb, The Bose Fluid, Lectures in Theoretical Physics, Vol. 8C (1965) 175–224, University of Colorado Press.

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© 1984 Springer-Verlag

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Conlon, J. (1984). The Ground State Energy of an Interacting Bose Gas. In: Mitter, H., Pittner, L. (eds) Stochastic Methods and Computer Techniques in Quantum Dynamics. Acta Physica Austriaca, vol 26/1984. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8780-7_17

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  • DOI: https://doi.org/10.1007/978-3-7091-8780-7_17

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-8782-1

  • Online ISBN: 978-3-7091-8780-7

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