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Il Nuovo Cimento B

FEYNMAN QUASIPROBABILITY DISTRIBUTION FOR SPIN-(1/2), AND ITS GENERALIZATIONS

M. Colucci

Published Jun 1, 1999• 0 citations
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The higher-order squeezing and quasiprobability distribution function of even and odd coherent states are studied in this paper. The results show that the properties of higher-order squeezing of the two states exclude each other, and characteristic functions and Wigner functions are all not gaussian. Particularly, Wigner functions can not be perseved positive define. Quasiprobability density (QPD) of the two states are neither "elliptic" nor "crescent", but are two-petal-like shape, which shows that squeezing type can not be represented by the QPD figure of a state.
SE ESTUDIA LA DINAMICA CUANTICA DE LA FUNCION DE DISTRIBUCION DE CUASIPROBABILIDAD DEL GRUPO SU(2) (FUNCION DE WIGNER) PARA UN SIMPLE HAMILTONIANO NO LINEAL (EL ANALOGO FINITO DEL MEDIO DE KERR H = S2 Z ). SE CONSIDERAN LA APROXIMACION CUASICLASICA PARA LA FUNCION DE WIGNER Y LA EVOLUCION CORRESPONDIENTE DE LOS VALORES MEDIOS. SE COMPARAN LAS SOLUCIONES EXACTA, CLASICA Y CUASICLASICA. Abstract WE STUDY THE QUANTUM DYNAMICS OF THE SU(2) QUASIPROBABILITY DISTRIBUTION (”WIGNER FUNCTION”) FOR THE SIMPLE NONLINEAR HAMILTONIAN (FINITE ANALOG OF THE KERR MEDIUM, H = S2 Z ). THE QUASICLASSICAL APPROXIMATION FOR THE WIGNER FUNCTION AND THE CORRESPONDING EVOLUTION OF MEAN VALUES ARE CONSIDERED AND COMPARED WITH THE EXACT AND CLASSICAL SOLUTIONS.