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- W2290319514 abstract "We have treated numerous illustrative examples of spin relaxation problems using Wigner's phase-space formulation of quantum mechanics of particles and spins. The merit of the phase space formalism as applied to spin relaxation problems is that only master equations for the phase-space distributions akin to Fokker-Planck equations for the evolution of classical phase-space distributions in configuration space are involved so that operators are unnecessary. The explicit solution of these equations can be expanded for an arbitrary spin Hamiltonian in a finite series of spherical harmonics like in the classical case. The expansion coefficients (statistical moments or averages of the spherical harmonics which are obviously by virtue of the Wigner-Stratonovich map the averages of the polarization operators) may be determined from differential-recurrence relations in a manner similar to the classical case. Furthermore, the phase space representation via the Weyl symbols of the relevant spin operators suggests how powerful computation techniques developed for Fokker-Planck equations (matrix continued fractions, mean first passage time, etc.) may be transparently extended to the quantum domain." @default.
- W2290319514 created "2016-06-24" @default.
- W2290319514 creator A5008431629 @default.
- W2290319514 creator A5025906611 @default.
- W2290319514 creator A5068000911 @default.
- W2290319514 date "2016-09-16" @default.
- W2290319514 modified "2023-10-16" @default.
- W2290319514 title "SPIN RELAXATION IN PHASE SPACE" @default.
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