We construct a formalism which enables us to express quantum mechanics in terms of any non-negative smoothed Wigner function. Quantum mechanics in terms of the well known Husimi function turns out to be just a special case of this general formalism.
The problem of averaging random structures in terms of distribution functions
β Scribed by V.L. Berdichevskii
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 911 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0021-8928
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π SIMILAR VOLUMES
Let (x) be the error term in the Dirichlet divisor problem. The purpose of this paper is to study the difference between two kinds of mean value formulas of (x), that is, the mean value formulas x 1 (u) k du and n x (n) k with a natural number k. In particular we study the case k = 2 and 3 in detail
## I. fntFoduction Let {X,,, n 2 1) be a sequence of independent random variables, P, and f, the distribution function and the characteristic fundion of the X,, respectively. Let us put SN = 2 X,, where N is a pasitive integer-valued random variable independent of X,, ?t 2 1. Furthermore, let { P,