OBSERVABLES AND DERIVABLES PART III: SEMI-GROUPS.
Abstract
The temporal development or dynamics of a quantum mechanical system is usually described in terms of a semi-group of unitary operators. In any more general axiomatic formulation of quantum mechanics a similar assumption would likely be made. The energy observable is defined as the infinitesimal generator of this semi-group. Also, the momentum observables are defined as the infinitesimal generators of semi-groups corresponding to rigid motions in configuration space. Basic results are derived concerning semi-groups of bounded simultaneous derivables.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1965
- Accession Number
- AD0623741
Entities
People
- Stanley P. Gudder