Temporally stable coherent states in energy-degenerate systems: The hydrogen atom

被引：20

作者：

Crawford, MGA ^{[1
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

PHYSICAL REVIEW A | 2000年 / 62卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.62.012104

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Klauder's recent generalization of the harmonic oscillator coherent states [J. Phys A 29, L293 (1996)], is applicable only in nondegenerate systems, requiring some additional structure if applied to systems with degeneracies. The author suggests how this structure could be added, and applies the complete method to the hydrogen atom problem. To illustrate how a certain degree of freedom in the construction may be exercised, states are constructed, which are initially localized and evolve semiclassically, and whose long time evolution exhibits "fractional revivals".

引用

页数：7

共 31 条

[1]

ADAMS BG, 1988, ADV QUANTUM CHEM, V19

[2] FRACTIONAL REVIVALS - UNIVERSALITY IN THE LONG-TERM EVOLUTION OF QUANTUM WAVE-PACKETS BEYOND THE CORRESPONDENCE PRINCIPLE DYNAMICS [J].

AVERBUKH, IS ;

PERELMAN, NF .

PHYSICS LETTERS A, 1989, 139 (09) :449-453

[3] SO(4,2)-FORMULATION OF SYMMETRY BREAKING IN RELATIVISTIC KEPLER PROBLEMS WITH OR WITHOUT MAGNETIC CHARGES [J].

BARUT, AO ;

BORNZIN, GL .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (05) :841-&

[4]

Bateman H., 1981, HIGHER TRANSCENDENTA

[5] Dispersion of Klauder's temporally stable coherent states for the hydrogen atom [J].

Bellomo, P ;

Stroud, CR .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (24) :L445-L450

[6] Comment on "Coherent states for the hydrogen atom" [J].

Bellomo, P ;

Stroud, CR .

PHYSICAL REVIEW A, 1999, 59 (01) :900-903

[7] CLASSICAL LIMIT OF HYDROGEN-ATOM [J].

BROWN, LS .

AMERICAN JOURNAL OF PHYSICS, 1973, 41 (04) :525-530

[8] LARGE ORDER PERTURBATION-THEORY IN THE CONTEXT OF ATOMIC AND MOLECULAR PHYSICS - INTERDISCIPLINARY ASPECTS [J].

CIZEK, J ;

VRSCAY, ER .

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1982, 21 (01) :27-68

[9] Generalized coherent states [J].

Fox, RF .

PHYSICAL REVIEW A, 1999, 59 (05) :3241-3255

[10] CLASSICAL AND QUANTUM-MECHANICAL DYNAMICS OF A QUASI-CLASSICAL STATE OF THE HYDROGEN-ATOM [J].

GAETA, ZD ;

STROUD, CR .

PHYSICAL REVIEW A, 1990, 42 (11) :6308-6313

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