LOCV calculations for intermediate phases of nuclear spin-polarized liquid3He ν ↑

Skjetne, Bjørn; Østgaard, E.

doi:10.1007/bf03185482

Cited by 3 publications

(1 citation statement)

References 13 publications

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“…However, for partially spin-polarized liquid 3 He, there seem to be few many-body calculations. 10) Because liquid 3 He is known to be in a state very close to that of ferromagnetic matter, theoretical calculations of the spin-polarization dependence of the energy of liquid 3 He are very important.…”

Section: )-4)mentioning

confidence: 99%

Approximate Energy Expression for Spin-Polarized Fermi Liquids

Takano

Endo

Kimura

et al. 2003

Progress of Theoretical Physics

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An approximate energy expression is proposed for arbitrarily spin-polarized Fermi liquids with central two-body forces. It is explicitly expressed as a functional of spin-dependent radial distribution functions and can be used conveniently in the variational method. It includes the potential energies completely and the kinetic energies up to main parts of the three-body cluster terms. This approximation is similar to that used previously for spinunpolarized and fully polarized matter. A notable feature of this expression is that it guarantees the necessary conditions on arbitrarily spin-polarized structure functions automatically. The Euler-Lagrange equations are derived from this energy expression and are numerically solved for arbitrarily spin-polarized liquid 3 He. The results for liquid 3 He with the HFDHE2 potential are consistent with the nearly ferromagnetic property. §1. Introduction Studies of strongly correlated fermion systems, such as liquid 3 He and nuclear matter at 0 K, is a fundamental and important problem in quantum many-body physics. In particular, the variational method called the fermi hypernetted chain (FHNC) has been proving to be a useful approximation for calculating the energy per particle of the system. 1) The FHNC method is very sophisticated and powerful, but there is still some doubt as to whether the minimization of the energy expectation value is performed with sufficient accuracy in the numerical calculations. 2) As an alternative approach, two of the present authors (Takano and Yamada) have recently proposed a different type of variational method. 2)-4)One of the distinctive characteristics of this new method is the use of various pair distribution functions as argument functions (variational functions) of the variational method. In the conventional variational method, the correlation functions that describe the correlation between particles in the wave function are taken as the variational functions. On the other hand, the pair distribution functions (or, radial distribution functions) represent the probabilities of finding particle pairs in variously specified spin-isospin states as functions of the distance between particles. (When non-central forces are present, corresponding non-centrally correlated pair distribution functions are also used.) The pair distribution functions and the correlation functions are not independent of each other; the former can, in principle, be expanded into cluster series with terms expressed with the latter. Therefore, if we could treat the problem exactly, e.g., by calculating the whole cluster series of * ) Present address: NEC corporation, 5-7-1, Shiba, Minato-ku, Tokyo 108-8001, Japan.

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Section: )-4)mentioning

confidence: 99%

Approximate Energy Expression for Spin-Polarized Fermi Liquids

Takano

Endo

Kimura

et al. 2003

Progress of Theoretical Physics

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Scattering Properties of Spin-Polarized Liquid 3He

et al. 2011

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Constrained variational calculations for many-body spin-polarized atomic deuterium

Skjetne

Østgaard

1999

J. Phys.: Condens. Matter

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A lowest-order constrained variational (LOCV) method, with modified conditions of healing on the two-body Jastrow wave function, is investigated in calculations for the ground-state energy levels of many-body spin-polarized atomic deuterium. Results are obtained for the , and phases, corresponding to equal occupations of one, two or three nuclear spin states. Estimates for the optimum healing conditions are obtained by comparison of LOCV results with current Monte Carlo benchmarks. The nature of the phases, i.e., quantum gas or quantum liquid, is discussed, the energy of the phase in our calculations always occurring above the gas-liquid interphase for healing conditions within a physically acceptable range.

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LOCV calculations for intermediate phases of nuclear spin-polarized liquid3He ν ↑

Cited by 3 publications

References 13 publications

Approximate Energy Expression for Spin-Polarized Fermi Liquids

Approximate Energy Expression for Spin-Polarized Fermi Liquids

Scattering Properties of Spin-Polarized Liquid 3He

Constrained variational calculations for many-body spin-polarized atomic deuterium

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