Dirac-Coulomb energy levels and expectation values

被引：6

作者：

Adkins, Gregory S. ^{[1
]}

机构：

[1] Franklin & Marshall Coll, Dept Phys, Lancaster, PA 17604 USA

来源：

AMERICAN JOURNAL OF PHYSICS | 2008年 / 76卷 / 06期

关键词：

D O I：

10.1119/1.2830535

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

The Hellmann-Feynman theorem and the method of generalized virial relations are applied to the Dirac-Coulomb problem to obtain expressions for the energy levels and all expectation values involving integer powers of the radius. These techniques allow many interesting consequences of the theory to be deduced without the need for explicit solutions of the radial wave equation. (C) 2008 American Association of Physics Teachers.

引用

页码：579 / 584

页数：6

共 23 条

[1]

BETHE HA, 1977, QUANTUM MECH ONE TWO

[2]

Braun M. A., 1973, Soviet Physics - JETP, V37, P211

[3] Possible effects of nuclear spin on x-ray terms [J].

Breit, G .

PHYSICAL REVIEW, 1930, 35 (12) :1447-1451

[4] NOTE ON A RELATION IN DIRAC THEORY OF THE ELECTRON [J].

BROWN, GE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1950, 36 (01) :15-17

[5] The wave equations of the electron [J].

Darwin, CG .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1928, 118 (780) :654-680

[6] A note on the wave functions of the relativistic hydrogenic atom [J].

Davis, L .

PHYSICAL REVIEW, 1939, 56 (02) :186-187

[7] SOME APPLICATIONS OF HYPERVIRIAL THEOREMS TO CALCULATION OF AVERAGE VALUES [J].

EPSTEIN, JH ;

EPSTEIN, ST .

AMERICAN JOURNAL OF PHYSICS, 1962, 30 (04) :266-&

[8] DIFFERENTIAL EQUATION FOR ENERGY EIGENVALUES OF RELATIVISTIC HYDROGENIC ATOMS, AND ITS SOLUTION [J].

EPSTEIN, ST .

AMERICAN JOURNAL OF PHYSICS, 1976, 44 (03) :251-252

[9] Forces in molecules [J].

Feynman, RP .

PHYSICAL REVIEW, 1939, 56 (04) :340-343

[10] Comment on the Virial Theorem [J].

Fock, V. .

ZEITSCHRIFT FUR PHYSIK, 1930, 63 (11-12) :855-858

← 1 2 3 →