4 papers · 1 filter
An application of the theta operator in generalized hypergeometric coherent states formalism
Dušan Popov
In this paper we examine one of the multiple applications of the theta operator xd/dx in quantum mechanics, namely, in the formalism of generalized hypergeometric coherent states (…
About some properties of the canonical density matrix versus the canonical Bloch equation
Dušan Popov
We examine some properties of the non-normalized (or canonical) density matrix in the coherent states representation, by two equivalent ways. On the one hand by its definition, and…
Free particle trapped in an infinite quantum well examined through the discrete calculus model
Dušan Popov
We use the discrete approach to solve the Schrödinger as well as the Bloch equations for a free particle and the quantum gas of free particles embedded in an infinite quantum well…
Considerations of the duality in generalized coherent states formalism
Dušan Popov
In the paper, a pair of dual operators is introduced with which a dual pair of generalized displacement operators is constructed. With these entities it is shown that the Barut - G…