A general formulation of discrete-time quantum mechanics: Restrictions on the action and the relation of unitarity to the existence theorem for initial-value problems (Q1906318)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general formulation of discrete-time quantum mechanics: Restrictions on the action and the relation of unitarity to the existence theorem for initial-value problems |
scientific article |
Statements
A general formulation of discrete-time quantum mechanics: Restrictions on the action and the relation of unitarity to the existence theorem for initial-value problems (English)
0 references
14 May 1996
0 references
The author presents a general formulation for discrete-time quantum mechanics, based on Feynman's method in ordinary quantum mechanics. The author shows that the ambiguities present in ordinary quantum mechanics (due to noncommutativity of the operators), are no longer present here. Then the criteria for the unitarity of the evolution operator are examined. The author shows that the unitarity of the evolution operator puts restrictions on the form of the action, and also implies the existence of a solution for the classical initial-value problem.
0 references
discrete-time quantum mechanics
0 references
Feynman's method
0 references
initial-value problem
0 references
