Density matrix of liquid 4He at low temperatures

Feenberg, Eugene

doi:10.1016/0003-4916(72)90332-6

Cited by 32 publications

(12 citation statements)

References 23 publications

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“…Notwithstanding the naturalness of this condition it will not be met, for instance, by the well-known Penrose formula for the N -particles density matrix. This formula was also obtained by Feenberg [23]. Applying the method of coherent states it was also found in [24].…”

Section: Density Matrix and The Partition Functionmentioning

confidence: 53%

A self-consistent theory of liquid ⁴He

Vakarchuk¹

2004

J. Phys. Stud.

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A new method is proposed for the calculation of full density matrix and thermodynamic functions of a many-boson system. Explicit expressions are obtained in the pair correlations approximation for an arbitrary temperature. The theory is self-consistent in the sence that the calculated properties at low temperatures coincide with that of Bogoliubov theory and in the high-temperature limit lead to the results for classical non-ideal gas in the random phase approximation. The phase transition is also revealed as a concequence of Bose-Einstein condensation deformed by interatomic interactions. All the final formulae are written solely via the liquid structure factor taken as a source information instead of the interatomic potential and, therefore, interconnect only observable quantities. This gives also a possibility to study such a strongly non-ideal system as liquid 4 He.

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Section: Density Matrix and The Partition Functionmentioning

confidence: 53%

A self-consistent theory of liquid ⁴He

Vakarchuk¹

2004

J. Phys. Stud.

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“…This formula was also obtained by Feenberg [27]. Applying the method of coherent states it was also found in [28].…”

Section: Nn R X X R X Xmentioning

confidence: 53%

Theory of structure and thermodynamic function of liquid 4He (Review Article)

Vakarchuk

Pastukhov

Prytula

2013

Low Temperature Physics

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A new method of calculation of the density matrix of a many-boson system is proposed. The calculation of thermodynamic and structure functions at finite temperatures based on density matrix of Bose liquid is made. The structure factor of liquid 4 He at T = 0 K is used as an input information for numerical calculation instead of the interatomic potential. We found a good agreement of the calculated quantities with experimental data.

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“…Group G then contains the configuration space operator [I, T I ] as one of its essential elements. Invoking relation (24) and the identity R$I=IR$ for any R$ # G 0 (K), we find that the translation vectors T R$I =R$T I +T R$ and T IR$ =&T R$ +T I are equivalent modulo a direct Bravais lattice vector, for which reason we get…”

Section: The Two-body Densitymentioning

confidence: 95%

Explorations of the Microstructure of Crystalline Quantum Many-Body Systems

Gernoth¹

2000

Annals of Physics

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Density matrix of liquid 4He at low temperatures

Cited by 32 publications

References 23 publications

A self-consistent theory of liquid ⁴He

A self-consistent theory of liquid ⁴He

Theory of structure and thermodynamic function of liquid 4He (Review Article)

Explorations of the Microstructure of Crystalline Quantum Many-Body Systems

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Density matrix of liquid 4He at low temperatures

Cited by 32 publications

References 23 publications

A self-consistent theory of liquid 4He

A self-consistent theory of liquid 4He

Theory of structure and thermodynamic function of liquid 4He (Review Article)

Explorations of the Microstructure of Crystalline Quantum Many-Body Systems

Contact Info

Product

Resources

About

A self-consistent theory of liquid ⁴He

A self-consistent theory of liquid ⁴He