Abstract
The problem of time operator in quantummechanics is revisited. The unsharp measurement modelfor quantum time based on the dynamical system-clockinteraction is studied. Our analysis shows that theproblem of the quantum time operator with continuousspectrum cannot be separated from the measurementproblem for quantum time.
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REFERENCES
Belavkin, V. P. (1994). Nondemolition principle of quantum measurement theory, Foundations of Physics, 24, 685.
Belavkin, V. P., and Bendjaballah, C. (1994). Continuous measurements of quantum phase, Quantum Optics, 6, 169–186.
Helstrom, C.W. (1976). Quantum Detection and Estimation Theory, Academic Press, New York.
Holevo, A. S. (1978). Reports on Mathematical Physics, 13(3), 287–307.
Holevo, A. S. (1982). Probabilistic and Statistical Aspects of Quantum Theory, North-Holland, Amsterdam.
Stratonovich, R. L., and Belavkin, V. P. (1996). On the dynamical interpretation of the quantum measurement postulate, 35(11), 2215–2228.
Von Neumann, J. (1955). Mathematical Foundation of Quantum Mechanics, Princeton University Press, Princeton, New Jersey.
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Belavkin, V.P., Perkins, M.G. The Nondemolition Measurement of Quantum Time. International Journal of Theoretical Physics 37, 219–226 (1998). https://doi.org/10.1023/A:1026602414875
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DOI: https://doi.org/10.1023/A:1026602414875