Variational approach to a hydrogen atom in a uniform magnetic field of arbitrary strength

被引：13

作者：

Bachmann, M ^{[1
]}

Kleinert, H ^{[1
]}

Pelster, A ^{[1
]}

机构：

[1] Free Univ Berlin, Inst Theoret Phys, D-14195 Berlin, Germany

来源：

PHYSICAL REVIEW A | 2000年 / 62卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.62.052509

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Extending the Feynman-Kleinert variational approach, we calculate the temperature-dependent effective classical potential governing the quantum statistics of a hydrogen atom in a uniform magnetic field at all temperatures. The zero-temperature limit yields the binding energy of the electron, which is quite accurate for all magnetic-field strengths, and exhibits, in particular, correct logarithmic growth at large fields.

引用

页码：052509 / 052501

页数：21

共 29 条

[21]

KLEINERT H, QUANTPH9902051

[22]

Kleinert H., 1995, PATH INTEGRALS QUANT

[23] An x-ray pulsar with a superstrong magnetic field in the soft γ-ray repeater SGR1806-20 [J].

Kouveliotou, C ;

Dieters, S ;

Strohmayer, T ;

van Paradijs, J ;

Fishman, GJ ;

Meegan, CA ;

Hurley, K ;

Kommers, J ;

Smith, I ;

Frail, D ;

Murakami, T .

NATURE, 1998, 393 (6682) :235-237

[24] Discovery of a magnetar associated with the soft gamma repeater SGR 1900+14 [J].

Kouveliotou, C ;

Strohmayer, T ;

Hurley, K ;

van Paradijs, J ;

Finger, MH ;

Dieters, S ;

Woods, P ;

Thompson, C ;

Duncan, RC .

ASTROPHYSICAL JOURNAL, 1999, 510 (02) :L115-L118

[25]

LANDAU LD, 1979, QUANTENMECHANIK

[26] THE HYDROGEN-ATOM IN STRONG MAGNETIC-FIELDS - SUMMATION OF THE WEAK FIELD SERIES EXPANSION [J].

LEGUILLOU, JC ;

ZINNJUSTIN, J .

ANNALS OF PHYSICS, 1983, 147 (01) :57-84

[27]

Loudon R., 1959, AM J PHYS, V27, P649, DOI [DOI 10.1119/1.1934950, 10.1119/1.1934950]

[28]

Ruder H., 1994, ATOMS STRONG MAGNETI, DOI DOI 10.1007/978-3-642-78820-8

[29]

Schmelcher P, 1998, ATOMS MOL STRONG EXT

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