SU(2) and SU(1,1) Approaches to Phase Operators and Temporally Stable Phase States: Applications to Mutually Unbiased Bases and Discrete Fourier Transforms

SU(2) and SU(1,1) Approaches to Phase Operators and Temporally Stable Phase States: Applications to Mutually Unbiased Bases and Discrete Fourier Transforms

We propose a group-theoretical approach to the generalized oscillator algebra Aκ recently investigated in J. Phys. A: Math. Theor. 2010, 43, 115303. The case κ ≥ 0 corresponds to the noncompact group SU(1,1) (as for the harmonic oscillator and the Pöschl-Teller systems) while the case κ < 0 i...

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Bibliographic Details
Main Authors: Maurice R. Kibler, Natig M. Atakishiyev, Kurt Bernardo Wolf
Format: Article
Language:English
Published: MDPI AG 2010-07-01
Series:Symmetry
Subjects:
phase operators
phase states
mutually unbiased bases
discrete Fourier transform
Online Access:http://www.mdpi.com/2073-8994/2/3/1461/

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http://www.mdpi.com/2073-8994/2/3/1461/

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