The method of integrals of motion is used to construct families of generalized coherent states of a nonrelativistic spinless charged particle in a constant electric field. Families of states, differing in the values of their standard deviations at the initial time, are obtained. Depending on the initial values of the standard deviations, and also on the electric field, it turns out to be possible to identify some families with semiclassical states.
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References
E. Schrödinger, Naturwissenschaften, 14, No. 28, 664 (1926).
P. K. Rashevskii, Usp. Mat. Nauk, 13, No. 3(81), 3 (1958).
R. J. Glauber, Phys. Rev., 130, No. 6, 2529 (1963); 131, No. 6, 2766 (1963).
J. R. Klauder, Ann. Phys., 11, 123 (1960).
J. R. Klauder, J. Math. Phys., 4, 1058 (1964); 5, 177 (1964).
J. R. Klauder and E. C. Sudarshan, Fundamentals of Quantum Optics, W. A. Benjamin, New York (1968).
E. C. Sudarshan, Phys. Rev. Lett., 10, 277 (1963).
J. R. Klauder and B. S. Skagerstam, Coherent States, Applications in Physics and Mathematical Physics, World Scientific, Singapore (1985).
A. M. Perelomov, Generalized Coherent States and Their Applications, Springer Verlag, Berlin (1986).
J. P. Gazeau, Coherent States in Quantum Physics, Wiley-VCH, Berlin (2009).
M. Nielsen and I. Chuang, Quantum Computation and Quantum Information, Cambridge Univ. Press, Cambridge (2000).
I. A. Malkin and V. I. Man’ko, Dynamical Symmetries and Coherent States [in Russian], Nauka, Moscow (1979).
V. V. Dodonov and V. I. Man’ko, Trudy FIAN, 183, 71–181 (1987).
R. Gilmore, Ann. Phys., 74, 391 (1973).
S. T. Ali, J. P. Antoine, and J. P. Gazeau, Coherent States, Wavelets and Their Generalizations, Springer Verlag, New York (2000).
V. G. Bagrov, D. M. Gitman, E. S. Macedo, and A. S. Pereira, J. Phys. A, 46, 325305 (2013).
V. G. Bagrov, D. M. Gitman, and A. S. Ferreira, Usp. Fiz. Nauk, 184, No. 9, 961 (2014).
V. G. Bagrov, D. M. Gitman, and A. S. Pereira, Braz. J. Phys., 45, 369 (2015).
V. G. Bagrov, S. P. Gavrilov, D. M. Gitman, and D. P. Meira Filho, J. Phys. A, 44, 055301 (2011).
E. Schrödinger, Preuss. Akad. Wiss., Phys. Math. Kl., 19, 296 (1930).
H. P. Robertson, Phys. Rev., 35, 667 (1930).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 119–128, January, 2018.
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Adorno, T.C., Pereira, A.S. Coherent and Semiclassical States of a Charged Particle in a Constant Electric Field. Russ Phys J 61, 133–145 (2018). https://doi.org/10.1007/s11182-018-1376-8
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DOI: https://doi.org/10.1007/s11182-018-1376-8