Accession Number : AD0623741

Title :   OBSERVABLES AND DERIVABLES PART III: SEMI-GROUPS.

Descriptive Note : Technical summary rept.,

Corporate Author : MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON

Personal Author(s) : Gudder,Stanley P.

Report Date : JUL 1965

Pagination or Media Count : 11

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.

Descriptors :   (*FUNCTIONAL ANALYSIS, QUANTUM THEORY), (*QUANTUM THEORY, GROUPS(MATHEMATICS)), (*GROUPS(MATHEMATICS), OPERATORS(MATHEMATICS)), PROBABILITY, MOMENTUM

Subject Categories : Statistics and Probability
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE