Abstract
Coherent states were first introduced into quantum mechanics by Schrödinger1 in 1926, when he explicitly constructed a set of states |A> for the simple harmonic oscillator, which obeyed the classical equations of motion: ; and which did not display the otherwise rather universal quantum phenomenon of “spreading of the wavepacket” or dispersion. The concept of coherent state as it is understood today was first introduced by Glauber,2 who showed how the states constructed by Schrödinger could be used to provide a good quantum-mechanical description of a coherent beam of light as obtained from a laser. Since then, these states have been very profitably further exploited in the field of quantum optics by Glauber and Sudarshan,2,3 and many others that followed them.
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References
E. Schrödinger, Naturwiss. 14: 664 (1926).
R. J. Glauber, Phys. Rev. Lett. 10: 84 (1963); Phys. Rev. 130: 2529 (1963) and 131: 2766 (1963).
E. C. G. Sudarshan, Phys. Rev. Lett. 10: 227 (1963); R. J. Glauber, Les Houches lectures 1964, in: “Quantum Optics and Electronics,” C. DeWitt et al., eds., Gordon and Breach, New York (1965)
J. R. Klauder and E. C. G. Sudarshan, “Fundamental of Quantum Optics”, Benjamin, New York (1968).
J. M. Radcliffe, J. Phys. A 4: 313 (1971).
A. O. Barut and L. Girardello, Commun. Math. Phys. 21: 41 (1971).
A. M. Perelomov, Commun. Math. Phys. 26: 222 (1972); 44: 197 (1975); Usp. Fiz. Nauk 123: 23 (1977) [translated into English in: Sov. Phys. Usp. 20: 703 (1977)].
E. Onofri, J. Math. Phys. 16: 1087 (1975).
M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. Lett. 41: 207 (1978)
V. P. Gutschick, M. M. Nieto and L. M. Simmons, Jr., Phys. Lett. 76A: 15 (1980)
M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A 19: 438 (1979) and Phys. Rev. D 20: 1321, 1332, 1342 (1979); M. M. Nieto, Phys. Rev. D 22: 391 (1980)
V. P. Gutschick and M. M. Nieto, Phys. Rev. D 22: 403 (1980)
M. M. Nieto, L. M. Simmons, Jr. and V. P. Gutschick, Phys. Rev. D 23: 927 (1981).
H. Feshbach and Y. Tikochinsky, Trans. N.Y. Acad. Sci. 38: 44 (1977).
H. P. Yuen, Phys. Rev. A 13: 2226 (1976).
D. F. Walls, Nature 306: 141 (1983).
C. S. Hsue, H. Kümmel and P. Ueberholz, Phys. Rev. D (to be published).
A. M. Perelomov and V. S. Popov, Zh. Eksp. Teor. Fiz. 56: 1375 (1969) and 57: 1684 (1969) [translated into English in: Sov. Phys. JETP 29: 738 (1969) and 30: 910 (1970)].
S. W. Hawking, Commun. Math. Phys. 43: 199 (1975).
P. C. W. Davies, J. Phys. A 8: 609 (1975); Rep. Prog. Phys. 41: 1313 (1978).
P. Candelas and D. J. Raine, J. Math. Phys. 17: 2101 (1976).
W. G. Unruh, Phys. Rev. D 14: 870 (1976).
D. W. Sciama, P. Candelas and D. Deutsch, Adv. Phys. 30: 327 (1981).
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© 1986 Springer Science+Business Media New York
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Bishop, R.F., Vourdas, A. (1986). Pairing Correlations, Coherent States, and Black Holes. In: Malik, F.B. (eds) Condensed Matter Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6707-3_3
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DOI: https://doi.org/10.1007/978-1-4615-6707-3_3
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