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Paper detail

Hermite Polynomial Representation of the Spin States

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.

preprint2013arXivOpen access
Dmitry B. LemeshevskiyVladimir I. Man'ko
quant-ph
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Dmitry B. LemeshevskiyVladimir I. Man'ko

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