Article
The Absolute Continuity of Phase Operators
Transactions of the American Mathematical Society
Document Type
Article
Publication Date
1-1-1975
Disciplines
Abstract
This paper studies the spectral properties of a class of operators known as phase operators which originated in the study of harmonic oscillator phase. Ifantis conjectured that such operators had no point spectrum. It was later shown that certain phase operators were, in fact, absolutely continuous and that all phase operators at least had an absolutely continuous part. The present work completes the discussion by showing that all phase operators are absolutely continuous.
DOI
10.2307/1998051
Citation Information
Joanne Dombrowski and G. H Fricke. "The Absolute Continuity of Phase Operators" Transactions of the American Mathematical Society Vol. 213 (1975) p. 363 - 372 ISSN: 0002-9947 Available at: http://works.bepress.com/joanne_dombrowski/2/
First published in Transactions of the American Mathematical Society, published by the American Mathematical Society.