Publication: Alternative derivation of the Pegg-Barnett phase operator
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1993-02
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American Physical Society
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Abstract
An alternative derivation of the Pegg-Barnett phase operator is presented. This approach is based on the properties of the representation in quantum mechanics of a nonlinear nonbijective canonical transformation. It does not use as its starting point either a finite-dimensional space or the definition of phase states. The features of this formalism are analyzed in terms of this transformation.
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© 1993 The American Physical Society.
We are much indebted to Professor E. Bernabeu for his continual advice and interest in the present work.
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[1] S. M. Barnett and D. T. Pegg, J. Phys. A 19, 3849 (1986).
[2] P. A. M. Dirac, Proc. R. Soc. London Ser. A ll4, 243 (1927).
[3] P. Carruthers and M. M. Nieto, Rev. Mod. Phys. 40, 441 (1968).
[4] L. Susskind and J, Glogower, Physics 1, 49 (1964).
[5] J. M. Levy-Leblond, Ann. Phys. (N.Y.) 101, 319 (1976).
[6] D. T. Pegg and S. M. Barnett, Europhys. Lett. 6, 483 (1988).
[7] R. Dirl, P. Kasperkovitz, and M. Moshinsky, J. Phys. A 21, 1835 (1988).
[8] S. M. Barnett and D. T. Pegg, J. Mod. Opt. 36, 7 (1989).
[9] D. T. Pegg and S. M. Barnett, Phys. Rev. A 48, 2579 (1991).
[10] V. Buzek, A. D. Wilson-Gordon, P. L. Knight, and W. K. Lai, Phys. Rev A 45, 8079 (1992).
[11] J. C. Garrison and J. Wong, J. Math. Phys. 11, 2242 (1970).
[12] A. Galindo, Lett. Math. Phys. 8, 495 (1984); 9, 263 (1985).
[13] J. Bergou and B.G. Englert, Ann. Phys. (N.Y.) 209, 479 (1991).
[14] A. Luis and L. L. Sánchez-Soto, J. Phys. A 24, 2083 (1991).
[15] R. G. Newton, Ann. Phys. (N.Y.) 124, 327 (1980).
[16] A. Vourdas, Phys. Rev. A 41, 1653 (1990).
[17] A. Luis and L.L. Sánchez-Soto, Quantum Opt. (to be published).