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Hohenberg-Martin Dilemma for Bose Condensed Systems and its Solution

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Complex Phenomena in Nanoscale Systems

Abstract

The properties of the uniform Bose gas is studied within the optimized variational perturbation theory (Gaussian approximation) in a self-consistent way. It is shown that the atomic BEC with a repulsive interaction becomes unstable when the gas parameter γ exceeds a critical value γ crit ≈ 0.01. The quantum corrections beyond the Bogoliubov—Popov approximation to the energy density, chemical potential and pressure in powers of \(\sqrt{\gamma}\) expansions are presented.

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References

  • Hohenberg P.C. and Martin P.C.: 1965. Ann. Phys., 34, 291

    Article  ADS  Google Scholar 

  • Nozie'res P.: 1995. Bose—Einstein Condensation. Griffin A., Snoke D.W. and Stringari S. (eds.): Cambridge University, New York

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  • Yukalov V.I. and Kleinert H.: 2006. Phys. Rev. A, 73, 063612

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Correspondence to A. Rakhimov .

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© 2009 Springer-Verlag Berlin Heidelberg

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Rakhimov, A., Narzikulov, Z. (2009). Hohenberg-Martin Dilemma for Bose Condensed Systems and its Solution. In: Casati, G., Matrasulov, D. (eds) Complex Phenomena in Nanoscale Systems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3120-4_13

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