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19982005
most citedBose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap

2 citations · 2 across the 4 of their papers we have counts for

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math-ph2004

Gibbs State Uniqueness for Anharmonic Quantum Crystal with a Nonpolynomial Double-Well Potential

Alexei L. Rebenko, Valentin A. Zagrebnov

We construct the Gibbs state for -dimensional quantum crystal with site displacements from , , and with a one-site \textit{non-polynomial} double-well potential,…

math-ph20032 cited

Bose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap

J. Lauwers, A. Verbeure, V. A. Zagrebnov

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is t…

math-ph2002

The equilibrium states for a model with two kinds of Bose condensation

Jean-Bernard Bru, Bruno Nachtergaele, Valentin Zagrebnov

We study the equilibrium Gibbs states for a Boson gas model, defined by Bru and Zagrebnov, which has two phase transitions of the Bose condensation type. The two phase transitions…

math-ph1999

Anomalous electron trapping by localized magnetic fields

F. Bentosela, R. M. Cavalcanti, P. Exner +1

We consider an electron with an anomalous magnetic moment g>2 confined to a plane and interacting with a nonzero magnetic field B perpendicular to the plane. We show that if B has…

math-ph1998

Anomalous electron trapping by magnetic flux tubes and electric current vortices

F. Bentosela, P. Exner, V. A. Zagrebnov

We consider an electron with an anomalous magnetic moment, g>2, confined to a plane and interacting with a nonhomogeneous magnetic field B, and investigate the corresponding Pauli…