The absolute continuity of phase operators
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- by J. Dombrowski and G. H. Fricke PDF
- Trans. Amer. Math. Soc. 213 (1975), 363-372 Request permission
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.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 213 (1975), 363-372
- MSC: Primary 47B15
- DOI: https://doi.org/10.1090/S0002-9947-1975-0377573-0
- MathSciNet review: 0377573