L. C. Papaloucas

New creation and annihilation operators in the Gauss plane and quantum friction

Abstract We construct new creation and annihilation operators in the Gauss plane depending on a parameter, the imaginary part of which describes dissipative phenomena while the real part describes rotations.

Construction of the density matrix in the Lie-admissible formulation

SummaryIn the present note we construct the density matrix in the Lie-admissible formulation. The new density matrix satisfies Bloch’s equations which correspond to the Lie-admissible Schrödinger equations. An interesting example is the Caldirola-Montaldi model of the retarded case.

Generalized Coherent States and the U (n) Lie Group

In this paper we study the generalized coherent states (g.c.s.) in n -dimensional space. Their annihilation operators consist of linear combinations of the annihilation operators a l , and their coherent states are the product of the simple coherent states. All the known annihilation operators which have been studied as yet, and also the magnetic ones, are special cases of these operators. The new operators A k + A m form the Lie algebra U ( n ) of the Lie group U ( n ). Finally, instead of the operators a l and a l + we can use the new operators, which depend on a complex parameter.

Remarks on the Poisson equations of motion

Abstract In respect of Poissons equations of motion, we give solutions of the form F o ( H )exp{i U ( p , q )}, which have a physical significance and are of importance for the calculation of phase operators in quantum mechanics.