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The invertable map of spin state density operator onto quasiprobabilitydistribution of three continuous variables is constructed. The connection withtwo-mode electromagnetic field oscillators is discussed. The inversion formulafor spin-density matrix is given in terms of Hermite polynomials. Theconnection with the spin-tomographic representation is examined. The problem ofthe magnetic moment rotation in the magnetic field is considered in thesuggested representation of spin states.

Hermite Polynomial Representation of the Spin States