Equilibrium properties of molecular fluids in the semiclassical limit

Singh, A. K.; Sinha, S. K.

doi:10.1103/physreva.30.1078

Cited by 11 publications

(2 citation statements)

References 29 publications

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“…It has also been applied to study the quantum systems with Hamiltonian quadratic in the coordinates and momentas [14,16]. Wigner distribution has turned out to be instrumental to determine the quantum corrections to simple molecular fluids [20]. It has been used to obtain the approximate solution of nonlinear Schrodinger equation [21].…”

Section: Introductionmentioning

confidence: 99%

A method to obtain the all order quantum corrected Bose–Einstein distribution from the Wigner equation

Bose¹

2019

J. Stat. Mech.

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In a previous article [1] a method has been introduced to derive the all order Bose-Einstein distribution of the non interacting Bosons as the solution of the Wigner equation. The process was a perturbative one where the Bose-Einstein distribution was taken as the unperturbed solution. In this article it is shown that the same formalism is also applicable in the case of interacting Bosons. The formalism has been applied to calculate the quantum second virial coefficient of the Bosons interacting pairwise via Lenard-Jones potential and compared with the previous result.

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Section: Introductionmentioning

confidence: 99%

A method to obtain the all order quantum corrected Bose–Einstein distribution from the Wigner equation

Bose¹

2019

J. Stat. Mech.

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“…Calculation of the pair distribution function of liquid neon [19] has been performed. It has also been applied to study the quantum systems with Hamiltonian quadratic in the coordinates and momentas [14,16].Wigner distribution has turned out to be instrumental to determine the quantum corrections to simple molecular fluids [20]. It has been used to obtain the approximate solution of nonlinear Schrodinger equation [21].…”

Section: Introductionmentioning

confidence: 99%

A simple method to obtain the all order quantum corrected Bose-Einstein distribution

Bose

2018

Preprint

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A simple method has been introduced to derive the all order quantum corrected Bose-Einstein distribution as the solution of the Wigner equation. The process is a perturbative one where the Bose-Einstein distribution has been taken as the unperturbed solution. This solution has been applied to calculate the number density of the bosons at finite temperature. The study may be important to investigate the properties of bosons and bose condensates at finite temperature. This process can also be applied to obtain the quantum corrected Fermi distribution.

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Wigner distribution function approach to the calculation of quantum effects in condensed matter physics

O’Connell

1987

The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function

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Equilibrium properties of molecular fluids in the semiclassical limit

Cited by 11 publications

References 29 publications

A method to obtain the all order quantum corrected Bose–Einstein distribution from the Wigner equation

A method to obtain the all order quantum corrected Bose–Einstein distribution from the Wigner equation

A simple method to obtain the all order quantum corrected Bose-Einstein distribution

Wigner distribution function approach to the calculation of quantum effects in condensed matter physics

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