Abstract
A continuously measured quantum system may bedescribed by restricted path integrals (RPI) orequivalently by non-Hermitian Hamiltonians. The measuredsystem is then considered as an open system, theinfluence of the environment being taken into account byrestricting the path integral or by inclusion of animaginary part in the Hamiltonian. This way ofdescription of measurements naturally follows from theFeynman form of quantum mechanics without anyadditional postulates and may be interpreted as aninformation approach to continuous quantum measurements.This reveals deep features of quantum physics concerning relations between quantum world and itsclassical appearance.
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REFERENCES
Barchielli, A., Lanz, L., and Prosperi, G. M. (1982). Nuovo Cimento B, 72, 79.
Calarco, T. (1995). Nuovo Cimento B, 110, 1451.
Carmichael, H. (1993). An Open Systems Approach to Quantum Optics, Springer-Verlag, Berlin.
Caves, C. M. (1986). Physical Review D, 33, 1643.
Caves, C. M. (1987). Physical Review D, 35, 1815.
Chiu, C. B., Sudarshan, E. C. G., and Misra, B. (1977). Physical Review D, 16, 520.
Davies, E. D. (1976). Quantum Theory of Open Systems, Academic Press, New York.
Diosi, L. (1988). Physics Letters A, 129, 419.
Feynman, R. P. (1948). Reviews of Modern Physics, 20, 367.
Itano, W. M., Heinzen, D. J., Bollinger, J. J., and Wineland, D. J. (1990). Physical Review A, 41, 2295.
Joos, E., and Zeh, H. D. (1985). Zeitschrift für Physik B, 59, 223.
Khalili, F. Ya. (1981). Vestnik Moskovskii Universiteit, Seriya 3, Fizika, Astronomiya, 22, 37.
Konetchnyi, A., Mensky, M. B., and Namiot, V. (1993). Physics Letters A, 177, 283.
Mensky, M. B. (1979a). Physical Review D, 20, 384.
Mensky, M. B. (1979b). Soviet Physics-JETP, 50, 667.
Mensky, M. B. (1983). The Path Group: Measurements, Fields, Particles, Nauka, Moscow [in Russian].
Mensky, M. B. (1988). Some ideas of Niels Bohr in the light of quantum theory of continuous measurements, in Niels Bohr and the Physics of the XX Century, Naukova Dumka, Kiev, p. 203 [in Russian].
Mensky, M. B. (1993). Continuous Quantum Measurements and Path Integrals, IOP, Bristol.
Mensky, M. B. (1994). Physics Letters A, 196, 159.
Milburn, G. J. (1988). Journal of the Optical Society of America B, 5, 1317.
Misra, B., and Sudarshan, E. C. G. (1977). Journal of Mathematical Physics, 18, 756.
Peres, A. (1980). American Journal of Physics, 48, 931.
Peres, A. (1993). Quantum Theory: Concepts and Methods, Kluwer, Dordrecht.
Srinivas, M. D. (1977). Journal of Mathematical Physics, 18, 2138.
Walls, D. F., and Milburn, G. J. (1985). Physical Review A, 31, 2403.
Zeh, H. D. (1971). On the irreversibility of time and observation in quantum theory, in Enrico Fermi School of Physics IL, New York, p. 263.
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Mensky, M. Continuously Measured Systems, Path Integrals, and Information. International Journal of Theoretical Physics 37, 273–280 (1998). https://doi.org/10.1023/A:1026666701671
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DOI: https://doi.org/10.1023/A:1026666701671