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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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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/PhysRevA.65.032112
- License
- Copyright (2002 The American Physical Society)
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- Category:
- Articles
- 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
- Verified by:
- Gdańsk University of Technology
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