Wigner distribution for eigenvalues of 1/2 h spin operator components

Hiroshi Inuzuka, Kouji Murayama, Yasushi Tadauchi

A. D. Jannussis, N. Patargias

Leon W. Cohen, Marian O. Scully

The Wigner distribution has proven to be a useful tool in many quantum problems requiring a joint distribution of position and momentum. In the present paper we develop a joint distribution for spin components within the spirit of the Wigner distribution. This distribution provides an insight into the quantum theory of measurement. We also discuss how one may write joint distributions for two arbitrary noncommuting operators.

Leon W. Cohen, Marlan O. Scully

Yutaka Kano

The relation between the Wigner cistribution function and the P-representation of the density matrix for describing a boson system is investigated. The coherent-state representation of the density matrix is introduced for a Bose particle system. Especially the P-representation of the density matrix describing an ideal boson system in thermal equilibrium is obtained. It can be seen that the distribution function of the complex eigenvalues of the destruction operator is non-negative in this particular case. The coherent-state representation of the Wigner function is then obtained. The coherent-state representation of the components in the decomposition of the Wigner function is also found. The London-Placzek formula can be derived by using one of these components.

S. Chaturvedi, E. Ercolessi, G. Marmo +3 more