Hermite Polynomial Representation of the Spin States
arXiv:1305.2596 · doi:10.1007/s10946-013-9340-0
Abstract
The invertable map of spin state density operator onto quasiprobability distribution of three continuous variables is constructed. The connection with two-mode electromagnetic field oscillators is discussed. The inversion formula for spin-density matrix is given in terms of Hermite polynomials. The connection with the spin-tomographic representation is examined. The problem of the magnetic moment rotation in the magnetic field is considered in the suggested representation of spin states.
10 pages
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