Generalized PhaseSpace Distribution Functions
Abstract
A set of quasiprobability distribution functions which give the correct quantum mechanical marginal distributions of position and momentum is studied. The phasespace distribution does not have to be bilinear in the state function. The Wigner distribution is a special case. A general relationship between the phasespace distribution functions and the rule of associating classical quantities to quantum mechanical operators is derived. This allows the writing of correspondence rules at will, of which the ones presently known are particular cases. The dynamics and other properties of the generalized phasespace distribution are considered.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 May 1966
 DOI:
 10.1063/1.1931206
 Bibcode:
 1966JMP.....7..781C