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Causal signal transmission by quantum fields. I: Response of the harmonic oscillator. (English) Zbl 1251.81052

Summary: It is shown that response properties of a quantum harmonic oscillator are in essence those of a classical oscillator, and that, paradoxical as it may be, these classical properties underlie all quantum dynamical properties of the system. The results are extended to noninteracting bosonic fields, both neutral and charged.

MSC:

81Q99 General mathematical topics and methods in quantum theory
81T99 Quantum field theory; related classical field theories
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References:

[1] Schleich, Wolfgang P., Quantum Optics in Phase Space (2001), Wiley: Wiley Berlin · Zbl 0961.81136
[2] Mandel, Leonard; Wolf, Emil, Optical coherence and quantum optics (1995), Cambridge University Press: Cambridge University Press Cambridge, MA
[3] Bogoliubov, N. N.; Shirkov, D. V., Introduction to the Theory of Quantized Fields (1980), Wiley: Wiley New York · Zbl 0925.81002
[4] Zinn-Justin, J., Quantum Field Theory and Critical Phenomena (2004), Clarendon Press: Clarendon Press Oxford
[5] Keldysh, L. V., Sov. Phys. JETP, 47, 1515 (1964), 20, 1018 (1964)
[6] Nelson, E., Journal of Functional Analysis, 12, 97 (1973)
[7] Vogel, Werner; Welsch, Dirk-Gunnar; Wallentowitz, Sascha., Quantum Optics. An Introduction (2006), Wiley: Wiley New York · Zbl 1034.81057
[8] Plimak, L. I., Phys. Rev. A, 50, 2120 (1994)
[9] Schwinger, J. S., Phys. Rev., 158, 1391 (1967)
[10] Kubo, R., Statistical Mechanics (1965), North-Holland: North-Holland Amsterdam
[11] Glauber, Roy J., Phys. Rev., 130, 2529 (1963)
[12] Schwinger, J. S., J. Math. Phys., 2, 407 (1961)
[13] Kelly, P. L.; Kleiner, W. H., Phys.Rev., 136, A316 (1964)
[14] Glauber, R. J., Quantum Optics and Electronics (1965), Les Houches Summer School of Theoretical Physics (Gordon and Breach): Les Houches Summer School of Theoretical Physics (Gordon and Breach) New York
[15] Hori, T., Prog. Theor. Phys., 7, 378 (1952)
[16] Fred Cooper, hep-th/950407v1; Fred Cooper, hep-th/950407v1
[17] Agarwal, G. S.; Wolf, E., Phys. Rev. D, 2, 2161 (1970)
[18] Plimak, L. I.; Fleischhauer, M.; Olsen, M. K.; Collett, M. J., Phys. Rev. A, 67, 013812 (2003)
[19] Whenever integration limits are omitted, a maximal possible range of integration is implied: the whole time axis, the whole space, and so on.; Whenever integration limits are omitted, a maximal possible range of integration is implied: the whole time axis, the whole space, and so on.
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