Comments on the approximating Hamiltonian method for imperfect boson gas

Jaeck, Thomas

doi:10.1088/0305-4470/39/31/n01

J. Phys. A: Math. Gen.

2006

DOI: 10.1088/0305-4470/39/31/n01

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Comments on the approximating Hamiltonian method for imperfect boson gas

Thomas Jaeck¹

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On the Nature of Bose-Einstein Condensation in Disordered Systems

2009

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We study the perfect Bose gas in random external potentials and show that there is generalized Bose-Einstein condensation in the random eigenstates if and only if the same occurs in the one-particle kinetic-energy eigenstates, which corresponds to the generalized condensation of the free Bose gas. Moreover, we prove that the amounts of both condensate densities are equal. Our method is based on the derivation of an explicit formula for the occupation measure in the one-body kinetic-energy eigenstates which describes the repartition of particles among these non-random states. This technique can be adapted to re-examine the properties of the perfect Bose gas in the presence of weak (scaled) non-random potentials, for which we establish similar results.

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On the Nature of Bose-Einstein Condensation in Disordered Systems

2009

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Proof of the Variational Principle for a Pair Hamiltonian Boson Model

Pulé

Zagrebnov

2007

Rev. Math. Phys.

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Comments on the approximating Hamiltonian method for imperfect boson gas

Cited by 2 publications

References 2 publications

On the Nature of Bose-Einstein Condensation in Disordered Systems

On the Nature of Bose-Einstein Condensation in Disordered Systems

Proof of the Variational Principle for a Pair Hamiltonian Boson Model

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