Accession Number : AD0653836

Title :   THE GENERAL SPACE-MOMENTUM COMMUTATION RELATION.

Descriptive Note : Research paper,

Corporate Author : INSTITUTE FOR DEFENSE ANALYSES ARLINGTON VA RESEARCH AND ENGINEERING SUPPORT DIV

Personal Author(s) : Rosenbaum,David M.

Report Date : JUN 1967

Pagination or Media Count : 24

Abstract : The paper derives the general commutator (q to the mth power, p to the nth power) for all integer m and n, positive or negative. Two new identities for the binomial coefficients are derived using the general commutator. A simple example of the use of the general commutation relations is given in the expansion of (Ap + Bq) to the nth power (A, B, constants) in normal form for integer n. (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), QUANTUM THEORY), FUNCTIONS(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), IDENTITIES, MATHEMATICS

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE