Correlated density matrix theory of normal quantum fluids

Senger, G.; Ristig, M. L.; Campbell, C. E.; Clark, John W.

doi:10.1016/0003-4916(92)90272-n

Cited by 28 publications

(30 citation statements)

References 41 publications

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“…The relevant equations are given in Refs. [22,25] and numerical results for normal liquid 4 He and para-hydrogen may be found in Refs. [4,23,26,27].…”

Section: Microscopic Theorymentioning

confidence: 99%

“…Obviously, due to the entropy expressions (11) and (12), (13) only makes sense if the solutions of the HNC equations for assumed input functions u(r) and Γ cc (r) permit solutions which fulfill the conditions 0 < n qp (k) < ∞ for bosons and 0 < n qp (k) < 1 for fermions. For such solutions S cc (k) takes the analytic CDM form [25] S cc (k)…”

Section: Renormalized Bosons and Fermionsmentioning

confidence: 99%

“…Based on this generalization CDM theory provides the algorithm that reduces the density matrix to the elements (3) and (4). This has been accomplished by a systematic application of appropriate HNC analyses [22,25]. The formalism reveals the following structure for the onebody reduced density matrix,…”

Section: Microscopic Theorymentioning

confidence: 99%

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Statistical Properties of Strongly Correlated Quantum Liquids

Ristig

Gernoth

2009

Found Phys

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Modern microscopic theory is employed to construct a powerful analytical algorithm that permits a clear description of characteristic features of strongly correlated quantum fluids in thermodynamic equilibrium. Using recently developed formal results we uncover an intricate relationship between strongly correlated systems and free quantum gases of appropriately defined constituents. The latter entities are precisely defined renormalized bosons or fermions. They carry all the information contained in the statistical correlations of the strongly interacting many-particle system by virtue of their effective masses. The mass of such a renormalized boson or fermion depends in a specific form on temperature, bulk particle number density of the many-body system, and eventually on momentum. Due to these properties the renormalized bosons and fermions determine in particular the location and nature of the transition to non-normal phases.

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“…The relevant equations are given in Refs. [22,25] and numerical results for normal liquid 4 He and para-hydrogen may be found in Refs. [4,23,26,27].…”

Section: Microscopic Theorymentioning

confidence: 99%

Section: Renormalized Bosons and Fermionsmentioning

confidence: 99%

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Statistical Properties of Strongly Correlated Quantum Liquids

Ristig

Gernoth

2009

Found Phys

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“…Theory of structure and thermodynamic function of liquid 4 He (14) where the arbitrary coefficient function () q is a real function from the wave vector modulus = | | q q with all the necessary properties.…”

Section: Hkmentioning

confidence: 99%

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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“…10. This approach can be suitably generalized to perform an ab initio analysis of the superfluid phase of an interacting Bose system, and thus provides a framework for microscopic study of the 2-transition in liquid 4He.…”

Section: Introductionmentioning

confidence: 98%