
Accession Number : AD0726231
Title : Minimum Uncertainty States of the Electromagnetic Field.
Descriptive Note : Research rept.,
Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF ELECTRICAL ENGINEERING
Personal Author(s) : Bertrand,P. P. ; Mishkin,E. A.
Report Date : 01 FEB 1971
Pagination or Media Count : 26
Abstract : Two new vector bases suitable for the representations of states of the electromagnetic field and operators affecting them are introduced. The minimum uncertainty states /gamma >, comprising the coherent states /alpha >, are shown to form an overcomplete nonorthogonal set. The /n > sub gamma states form a complete orthogonal set. The various relations they satisfy are derived via an oscillator frequency transformation. The corresponding similarity transformation of the nonnormal operator changes the physical structure of its characteristic states. The photon statistics of the states /gamma > and /n > sub gamma are discussed and it is shown that they could display anticorrelation effects. The dynamics of the minimum uncertainty states in the presence of interaction are discussed and the most general Hamiltonian under which these states retain their minimum uncertainty property at all times is given. (Author)
Descriptors : (*ELECTROMAGNETIC FIELDS, *QUANTUM THEORY), UNCERTAINTY, PHOTONS, OPERATORS(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS)
Subject Categories : Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE