Spin-orbit coupling and the conservation of angular momentum

Details

• Personal Author:
  Hnizdo, Vladimir ; Hnizdo, Vladimir
• Description:
  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. [Description provided by NIOSH]
• Subjects:
  Occupational Health Particulate Matter Safety
• Keywords:
  Mathematical-models Particle-aerodynamics Particulates Qualitative-analysis Quantitative-analysis
• ISSN:
  0143-0807
• Document Type:
  Text
• Genre:
  Journal Article ; Journal Article
• Place as Subject:
  OSHA Region 3 ; West Virginia
• CIO:
  National Institute for Occupational Safety and Health (NIOSH) ; National Institute for Occupational Safety and Health (NIOSH)
• Division:
  HELD - Health Effects Laboratory Division ; HELD - Health Effects Laboratory Division
• Topic:
  Workplace Safety & Health ; Workplace Safety & Health
• Location:
  North America ; North America
• Pages in Document:
  407-416
• Volume:
  33
• Issue:
  2
• NIOSHTIC Number:
  nn:20040487
• Citation:
  Eur J Phys 2012 Mar; 33(2):407-416
• Email:
  vhnizdo@cdc.gov
• Federal Fiscal Year:
  2012
• Peer Reviewed:
  True
• Source Full Name:
  European Journal of Physics
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:8317dcf76ff059d0529598ed3dffafeaa53b781ed0e174faf0eaf8290ee3bec43b5bee33c3b2c68c92e943954c8e6480d7501326638f11bfe19bc0260c4fc042
• Download URL:
  https://stacks.cdc.gov/view/cdc/193327/cdc_193327_DS1.pdf
• File Type:
  [PDF - 533.45 KB ]