DISTRIBUTION FUNCTIONS IN LIGHT OF THE UNCERTAINTY PRINCIPLE

Here, we have considered the Husimi and Wigner distribution functions. We have, in particular, shown how the uncertainty principle works for the two cases of simple and damped harmonic oscillators when either of these two distributions are used. The conclusion shows that the Husimi distribution function remains non-negative through the phase space but it does not always satisfies the uncertainty principle. On the other hand the Wigner distribution function while becoming negative in certain regions ofthe phase space do not violate the uncertainty principle