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Larmor diamagnetism and Van Vleck paramagnetism in relativistic quantumtheory: the Gordon decomposition approach

Abstract

We consider a charged Dirac particle bound in a scalar potential perturbed by a classical magnetic field derivable from a vector potential A(r). Using a procedure based on the Gordon decomposition of a field-induced current, we identify diamagnetic and paramagnetic contributions to the second-order perturbationtheory correction to the particle's energy. In contradiction to earlier findings, based on the sum-over-states approach, it is found that the resulting diamagnetic term is epsilon(d)((2)) = (q(2)/2m) [Psi((0))\betaA(2)Psi((0))], where Psi((0))(r) is an unperturbed eigenstate and beta is the matrix associated with the rest-energy term in the Dirac Hamiltonian.

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Details

Category:
Magazine publication
Type:
artykuł w czasopiśmie z listy filadelfijskiej
Published in:
PHYSICAL REVIEW A no. 65, edition 3, pages 1 - 8,
ISSN: 2469-9926
Language:
English
Publication year:
2002
Bibliographic description:
Szmytkowski R.: Larmor diamagnetism and Van Vleck paramagnetism in relativistic quantumtheory: the Gordon decomposition approach// PHYSICAL REVIEW A. -Vol. 65., iss. 3 (2002), s.1-8
DOI:
Digital Object Identifier (open in new tab) 10.1103/physreva.65.032112
Verification:
Gdańsk University of Technology

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