Integral-free Wigner functions


TEĞMEN A.

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, cilt.121, sa.9, ss.937-942, 2006 (SCI-Expanded) identifier identifier

Özet

Wigner phase space quasi-probability distribution function is a Fourier transform related to a given quantum-mechanical wave function. It is shown that for the wave functions of type psi(q) = e(-aq2) phi(q), the Wigner function can be defined in terms of differential operators acting on a given function, independently from the integral formula which appears in the standard definition. Gaussian wave packet, harmonic and singular oscillators are given as the examples.