Two-Particle Density Matrix and the Electron-Proton Interaction Pseudopotential at Ultralow Temperatures

被引：4

作者：

Butlitsky, M. A. ^{[1
]}

Zelener, B. B. ^{[2
]}

Zelener, B. V. ^{[2
]}

Manykin, E. A. ^{[1
]}

机构：

[1] Moscow Engn Phys Inst State Univ, Moscow 115409, Russia

[2] Russian Acad Sci, Joint Inst High Temperatures, Moscow 127412, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 01期

关键词：

density matrix; hydrogen-like atom; pseudopotential; electron-proton interaction;

D O I：

10.1134/S0965542508010119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The two-particle density matrix of the electron-proton interaction is exactly calculated at temperatures T between 3 and 100 K. The connection of the results with the semiclassical approximation is shown. A method is described for calculating the Coulomb wave functions necessary for the determination of the density matrix.

引用

页码：147 / 151

页数：5

共 10 条

[1] EFFECTIVE POTENTIALS BETWEEN COMPONENTS OF A HYDROGENEOUS PLASMA [J].

BARKER, AA .

JOURNAL OF CHEMICAL PHYSICS, 1971, 55 (04) :1751-&

[2] Thermodynamics and correlation functions of an ultracold nonideal Rydberg plasma [J].

Bonitz, M ;

Zelener, BB ;

Zelener, BV ;

Manykin, ÉA ;

Filinov, VS ;

Fortov, VE .

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2004, 98 (04) :719-727

[3]

Butlitsky MA, 2005, LASER PHYS, V15, P256

[4]

EBELING W, 1967, ANN PHYS-BERLIN, V19, P104

[5] NUMERICAL TREATMENT OF COULOMB WAVE FUNCTIONS [J].

FROBERG, CE .

REVIEWS OF MODERN PHYSICS, 1955, 27 (04) :399-411

[6]

Gradshteyn I.S., 2014, Table of Integrals, Series, and Products

[7]

LANDAU LD, 2001, QUANTUM MECH

[8] GENERATION OF COULOMB WAVE FUNCTIONS BY MEANS OF RECURRENCE RELATIONS [J].

STEGUN, IA ;

ABRAMOWITZ, M .

PHYSICAL REVIEW, 1955, 98 (06) :1851-1852

[9] PATH-INTEGRAL CALCULATION OF QUANTUM-STATISCAL DENSITY MATRIX FOR ATTRACTIVE COULOMB FORCES [J].

STORER, RG .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (06) :964-&

[10]

Zelener B. V., 1981, Perturbation Theory And Pseudopotential in Statistical Thermodynamics

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