Document Type

Article

Publication Date

1975

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.

Comments

First published in Transactions of the American Mathematical Society, published by the American Mathematical Society.

DOI

10.2307/1998051