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Comment on “Numerical analysis of Bose–Einstein condensation in a three-dimensional harmonic oscillator potential,” by Martin Ligare [Am. J. Phys. 66 (3), 185–190 (1998)]—An extension to anisotropic traps and lower dimensions

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We suggested a method to estimate the quantum depletion of interacting Bose particles confined by a three dimensional harmonic trap.

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Numerical analysis of Bose–Einstein condensation in a three-dimensional harmonic oscillator potential

Martin Ligare

Bose–Einstein condensation is the anomalous accumulation of particles in the ground state of a system of bosons, when compared with the population in a system of particles obeying classical statistics. I use undergraduate-level statistical mechanics and a symbolic algebra computer program to study the occupation numbers of the energy levels of a finite number of noninteracting particles confined in a three-dimensional harmonic oscillator potential. I also calculate the heat capacity of the gas. The harmonic oscillator potential simplifies the calculations and approximates the conditions of the recent experiments achieving Bose–Einstein condensation in laser-cooled alkali vapors.Bose–Einstein condensation is the anomalous accumulation of particles in the ground state of a system of bosons, when compared with the population in a system of particles obeying classical statistics. I use undergraduate-level statistical mechanics and a symbolic algebra computer program to study the occupation numbers of the energy levels of a finite number of noninteracting particles confined in a three-dimensional harmonic oscillator potential. I also calculate the heat capacity of the gas. The harmonic oscillator potential simplifies the calculations and approximates the conditions of the recent experiments achieving Bose–Einstein condensation in laser-cooled alkali vapors.

American Journal of PhysicsMar 1, 199826 citations

Comment on “Numerical analysis of Bose–Einstein condensation in a three-dimensional harmonic oscillator potential” by Martin Ligare [Am. J. Phys. 66 (3), 185–190 (1998)]

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Comment on “Numerical analysis of Bose–Einstein condensation in a three-dimensional harmonic oscillator potential” by Martin Ligare [Am. J. Phys. 66 (3), 185–190 (1998)]

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