A self-consistent method of determining the effective mass of a helium atom in normal liquid 3He

Tripathy, D.; Mishra, L. K.

doi:10.1016/0921-4526(90)90025-p

Cited by 5 publications

(3 citation statements)

References 30 publications

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“…In the framework of correlated basis perturbation theory (CBP T ), F antoni and P andharipande [33] have predicted the effective mass to have values as low as 0.76m. T ripathy and M ishra [31] in a self-consistent method have obtained the value of m * /m to be 2.99. In their paper, a more discussion about the effective mass of 3 He can be found.…”

Section: The Transport Properties Of Liquid 3 Hementioning

confidence: 99%

“…Brueckner and Gammel (BG) [29], using the Green's function method obtained a value of m * /m = 1.84, which is quite far off the experimental data. Subsequently, an improvement over the BG theory was made by Ostagaard [30] who used m * /m as an adjustable parameter in his theory, to obtain the best value for the average binding energy per particle [31] of the helium 3 liquid. By this choice, he obtained a binding energy of −2.0K corresponding to a value of m * /m = 2.5.…”

Section: The Transport Properties Of Liquid 3 Hementioning

confidence: 99%

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The viscosity and the thermal conductivity of normal liquid Helium 3 in the LOCV frame-work

Modarres

Rahmat

2017

Physica A: Statistical Mechanics and its Applications

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The lowest order constrained variational (LOCV ) method is used to evaluate the transport properties of normal liquid Helium-3 ( 3 He) within the Landau − Abrikosov − Khalatnikov (LAK ) formalism. The LOCV effective two-body interaction of the liquid Helium 3 is used to calculate the differential cross-section and the scattering probability, which is needed to solve the LAK equations. It is shown that, the choice of effective mass has crucial role on the resulting viscosity and thermal conductivity of normal liquid 3 He. Our LOCV -LAK calculations are compared with the other theoretical and experimental results.

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Section: The Transport Properties Of Liquid 3 Hementioning

confidence: 99%

Section: The Transport Properties Of Liquid 3 Hementioning

confidence: 99%

The viscosity and the thermal conductivity of normal liquid Helium 3 in the LOCV frame-work

Modarres

Rahmat

2017

Physica A: Statistical Mechanics and its Applications

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“…Using this technique they [26] have obtained an effective electron mass m* for Na and K in close agreement with the experimental data where the calculation of m* in many higher-order effects have been found to fail. Recently, Tripathy and Mishra [27] have reproduced the experimental value of the effective mass of the helium atom m* in liquid 3He [5] which was an unresolved problem for a long time.…”

Section: Local-field Correction Effects In the Evaluation Of The Velomentioning

confidence: 99%

Self‐Consistent Scheme for Evaluating the Pressure Dependent Zero‐Sound Velocity in Normal Liquid ³He

Singh¹,

Mishra²

1992

Physica Status Solidi (b)

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Using the theoretical model developed recently for liquid 'He, the pressure dependent zero-sound velocities at T = 0 K are calculated by a self-consistent procedure. Introducing a pseudopotential for the effective interaction between two 'He atoms of parallel and antiparallel spin, reasonable agreement with the experimental data of Wheatley et al. is found. An exact agreement with the experimental value is obtained by introducing a term into the theory to account for the local field corrections to the bare particle-hole propagator beyond the random phase approximation (RPA) in a parametric way. The present theory seems to indicate the propagation of a new kind of sound wave in liquid 'He.Mit dem kiirzlich entwickelten theoretischen Modell fur fliissiges 'He werden die druckabhangigen Null-Schallgeschwindigkeiten fur Temperaturen T = 0 K selbstkonsistent berechnet. Durch Einfuhrung von Pseudopotentialen fur die effektive Wechselwirkung zwischen zwei 3He-Atomen mit parallelem und antiparallelem Spin wird eine befriedigende Ubereinstimmung mit den experimentellen Werten von Wheatley et al. gefunden. Eine exakte Ubereinstimmung mit dem experimentellen Wert wird durch die Einfiihrung eines Terms in die Theorie erhalten, der die Lokalfeldkorrekturen zum nackten Partikel-Loch-Propagator jenseits der RPA-NHherung in parametrischer Weise beriicksichtigt. Die angegebene Theorie scheint die Ausbreitung einer neuen Art von Schallwellen in fliissigem 'He zu zeigen.

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A self-consistent method for determining the effective mass of an electron in a many-electron system within the Hartree-Fock approximation

Mishra

Tripathy

1995

Physics Letters A

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A self-consistent method of determining the effective mass of a helium atom in normal liquid 3He

Cited by 5 publications

References 30 publications

The viscosity and the thermal conductivity of normal liquid Helium 3 in the LOCV frame-work

The viscosity and the thermal conductivity of normal liquid Helium 3 in the LOCV frame-work

Self‐Consistent Scheme for Evaluating the Pressure Dependent Zero‐Sound Velocity in Normal Liquid ³He

A self-consistent method for determining the effective mass of an electron in a many-electron system within the Hartree-Fock approximation

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A self-consistent method of determining the effective mass of a helium atom in normal liquid 3He

Cited by 5 publications

References 30 publications

The viscosity and the thermal conductivity of normal liquid Helium 3 in the LOCV frame-work

The viscosity and the thermal conductivity of normal liquid Helium 3 in the LOCV frame-work

Self‐Consistent Scheme for Evaluating the Pressure Dependent Zero‐Sound Velocity in Normal Liquid 3He

A self-consistent method for determining the effective mass of an electron in a many-electron system within the Hartree-Fock approximation

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Self‐Consistent Scheme for Evaluating the Pressure Dependent Zero‐Sound Velocity in Normal Liquid ³He