Thursday, July 11, 2013

1307.2877 (Pier A. Mello et al.)

Wigner function and the successive measurement of position and momentum    [PDF]

Pier A. Mello, Michael Revzen
Wigner function is a "quasi-distribution" that provides a representation of the state of a quantum mechanical system in the phase space of position and momentum. In this paper we find a relation between Wigner function and the successive measurement of position and momentum of the system, as described by von Neumann's model of measurement. We do this by showing that one can relate Wigner function to Kirkwood joint quasi-distribution of position and momentum, the latter, in turn, being a particular case of successive measurements. We first consider the case of a quantum mechanical system described in a continuous Hilbert space, and then turn to the case of a discrete, finite-dimensional Hilbert space.
View original: http://arxiv.org/abs/1307.2877

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