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Spin-orbit coupling and the conservation of angular momentum.

Authors
Hnizdo-V
Source
Eur J Phys 2012 Mar; 33(2):407-416
NIOSHTIC No.
20040487
Abstract
In nonrelativistic quantum mechanics, the total (i.e. orbital plus spin) angular momentum of a charged particle with spin that moves in a Coulomb plus spin-orbit-coupling potential is conserved. In a classical nonrelativistic treatment of this problem, in which the Lagrange equations determine the orbital motion and the Thomas equation yields the rate of change of the spin, the particle's total angular momentum in which the orbital angular momentum is defined in terms of the kinetic momentum is generally not conserved. However, a generalized total angular momentum, in which the orbital part is defined in terms of the canonical momentum, is conserved. This illustrates the fact that the quantum-mechanical operator of momentum corresponds to the canonical momentum of classical mechanics.
Keywords
Particulates; Particle-aerodynamics; Qualitative-analysis; Quantitative-analysis; Mathematical-models
CODEN
EJPHD4
Publication Date
20120301
Document Type
Journal Article
Email Address
vhnizdo@cdc.gov
Fiscal Year
2012
NTIS Accession No.
NTIS Price
Identifying No.
B03282012
Issue of Publication
2
ISSN
0143-0807
NIOSH Division
HELD
Source Name
European Journal of Physics
State
WV
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