Commutation Relations

Asao Arai

Fesseha Kassahun

We have obtained the commutation relation for a cavity mode driven by coherent light and interacting with a two-level atom. We have found that the commutation relation for a free cavity mode with or without photons is just the usual commutation relation. However, the commutation relation for a cavity mode, which is interacting with a two-level atom, turns out to be different from the usual one.

Irl Yale

R. O'Raifeartaigh, Colm A. Ryan

The method of the complete set is used to study a generalized commutation relation. This commutation relation is of interest for two reasons. First, it is very similar to the commutation relations considered by various authors in connection with generalized statistics. Secondly, it allows us to investigate further a problem previously considered by Wigner, namely, Do the equations of motion determine the quantum mechanical commutation relations? '' (auth)

Ching Chee Leong

M. H. Traikia, N. Mebarki

Using a weak deformation of the Weyl-Heisenberg algebra of a paraquantization of order 2. After defining a generalized commutation and anti-commutation relations, modified triliniar commutation relations are derived.