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Harmonic-oscillator phase operators

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Il Nuovo Cimento B (1965-1970)

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References

  1. L. Susskind andJ. Glogower:Physics,1, 49 (1964).

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  2. P. Carruthers andM. M. Nieto:Phys. Rev. Lett.,14, 387 (1965).

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  3. See, for example,W. Heitler:Quantum Theory of Radiation, 3rd ed. (London, 1954), p. 65.

  4. Equation (1b) is the only relation consistent with both eq. (2) and eq. (3b).

  5. The possibility that this point could, in principle, be of importance was noted byAharonov, in conjunction with whom possible phase measurement processes are being investigated.

  6. See, for example,Halmos:Introduction to Hilbert Space, 2nd ed. (London, 1957), p. 51.

  7. H. S. Wall:Analytic Theory of Continued Fractions (New York, 1948), p. 67 et seq.

  8. This is obvious from a consideration of the effect on the possible maximum of the expression (13) of decreasing eachf(n).

  9. This example was suggested byY. Aharonov.

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Part of this work was done with the support of the U.S. Air Force Cambridge Research Laboratories, Office of Acrospace Research, while the author was on leave at Brandeis University, Waltham, Mass.

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Lerner, E.C. Harmonic-oscillator phase operators. Nuovo Cimento B (1965-1970) 56, 183–186 (1968). https://doi.org/10.1007/BF02711966

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