Hermite Polynomial Representation of the Spin States

作者：Lemeshevskiy Dmitry B^*; Man'ko Vladimir I

来源：Journal of Russian Laser Research, 2013, 34(2): 175-184.

DOI：10.1007/s10946-013-9340-0

• spin tomography
• quasiprobability
• Hermite polynomials
• star product
• quantizer

We construct the invertible map of the spin-state density operator onto the quasiprobability distribution of three continuous variables. We discuss the connection of this map with two-mode electromagnetic-field oscillators. We give the inversion formula for the spin-density matrix in terms of the Hermite polynomials. We examine the connection of the map constructed with the spin-tomographic representation. We consider the problem of the magnetic-moment rotation in the magnetic field in the suggested representation of spin states.

• 出版日期2013-3