Journal of Russian Laser Research

, Volume 20, Issue 6, pp 533–541 | Cite as

Time-dependent integrals of motion for a precessing magnetic dipole

  • V. M. Chepelev
  • V. I. Man'ko
Article
  • 45 Downloads

Abstract

New time-dependent integrals of motion are found in the explicit form for magnetic dipole precessing in a constant magnetic field. The integrals of motion do not commute with the Hamiltonian. The new integrals of motion describe the initial values of spin projections on the coordinate axes. Commutation relations of the new integrals of motion determine the Lie algebraSU(2).

Keywords

Magnetic Dipole Evolution Operator Russian Laser Research Spin Projection Constant Magnetic Field 

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • V. M. Chepelev
    • 1
  • V. I. Man'ko
    • 1
  1. 1.P. N. Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia

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