Coherent and squeezed states for light in homogeneous conducting linear media by an invariant operator method

International Journal of Theoretical Physics

Volumn 43, Issue 10, 2004, Pages 2113-2136

  Choi, Jeong Ryeol ^a  

^a SunMoon University   (South Korea)

Author keywords

Coherent state; Dissipative light; LR invariant operator method; Squeezed state

Indexed keywords

EID: 18844457898     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJTP.0000049014.09671.e2     Document Type: Article

References (32)

1. Brown, L. S. (1991). Quantum motion in a Paul trap. Physical Review Letters 66, 527-529.
2. Choi, J. R. (2003a). The decay properties of a single-photon in linear media. Chinese Journal Physics 41, 257-266.
3. Choi, J. R. (2003b). Approach to the quantum evolution for underdamped, critically damped, and overdamped driven harmonic oscillators using unitary transformation. Reports on Mathematical Physics 52, 321-329.
4. Choi, J. R. (2003c). The quantum description of the electromagnetic waves in homogeneous conducting linear media. Journal of Optics B: Quantum and Semiclassical Optics 5, 409-413.
5. Choi, J. R. (2004). Coherent states of general time-dependent harmonic oscillator. Pramana-Journal of Physics 62, 13-29.
6. Choi, J. R. and Gweon, B. H. (2002). Operator method for a nonconservative harmonic oscillator with and without singular perturbation. International Journal of Modern Physics B 16, 4733-4742.
7. Choi, J. R. and Zhang, S. (2002). Quantum and classical correspondence of damped-amplified oscillators. Physica Scripta 66, 337-341.
8. Dantas, C. M. A., Pedrosa, I. A., and Baseia, B. (1992). Harmonic oscillator with time-dependent mass and frequency and a perturbative potential. Physical Review A 45, 1320- 1324.
9. Glauber, R. (1968). Fundamental Problems in Statistical Mechanics II, North-Holland, Amsterdam, pp. 140-187.
10. Griffiths, D. J. (1989). Introduction to Electrodynamics, 2nd edn., Prentice Hall, Englewood Cliffs, p. 374.
11. Gweon, J. H. and Choi, J. R. (2003). Propagator and geometric phase of a general time-dependent harmonic oscillator. Journal of the Korean Physical Society 42, 325-330.
12. Ji, J.-Y. and Kim, J. K. (1995). Exact wave functions and nonadiabatic Berry phases of a time-dependent harmonic oscillator. Physical Review A 52, 3352-3355.
13. Lewis, H. R., Jr. (1967). Classical and quantum systems with time-dependent harmonic-oscillator-type hamiltonians. Physical Review Letters 18, 510-512.
14. Lewis, H. R., Jr. (1968). Class of exact invariants for classical and quantum time-dependent harmonic oscillators. Journal of Mathematical Physics 9, 1976-1986.
15. Lewis, H. R., Jr. and Riesenfeld, W. B. (1969). An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field. Journal of Mathematical Physics 10, 1458-1473.
16. Li, F.-L., Wang, S. J., Weiguny, A., and Lin, D. L. (1994). Gauge transformation aproach to the exact solution of a generalized harmonic oscillator. Journal of Physics A: Mathematical and General 27, 985-992.
17. Louiseil, W. H. (1973). Quantum Statistical Properties of Radiation, Wiley, New York, pp. 104-109 and pp. 238-246.
18. Nayfeh, M. H. and Brussel, M. K. (1985). Electricity and Magnetism, Wiley, New York, p. 470.
19. Pedrosa, I. A. (1987). Canonical transformations and exact invariants for dissipative systems. Journal of Mathematical Physics 28, 2662-2664.
20. Reitz, J. R., Milford, F. I., and Christy, R. W. (1993). Foundations of Electromagnetic Theory, 4th edn., Addison-Wesley, Massachusetts, p. 465.
21. Scully, M. O. and Zubairy, M. S. (1997). Quantum Optics, Cambridge University Press, Cambridge, pp. 46-55.
22. Um, C. I., Choi, J. R., Yeon, K. H., and George, T. F. (2002). Path integral and dynamical invariant methods applied to a power-law suppressed quadratic Hamiltonian system. International Journal of Theoretical Physics, Group Theory, and Nonlinear Optics 9, 197-213.
23. Um, C.-I., Shin, S.-M., and Yeon, K.-H. (2000). Space-time transformation approach to the damped harmonic oscillator with and without an inverse quadratic potential. Journal of the Korean Physical Society 37, 162-167.
24. Um, C.-I., Shin, S.-M., Yeon, K.-H., and George, T. F. (1998). Exact wave function of a harmonic plus inverse harmonic potential with time-dependent mass and frequency. Physical Review A 58, 1574-1577.
25. Vogel, W. and Welsch, D.-G. (1994). Lectures on Quantum Optics, Akademie Verlag, Berlin, pp. 68-73.
26. Vourdas, A. and Weiner, R. M. (1987). Photon-counting distribution in squeezed states. Physical Review A 36, 5866-5869.
27. Walls, D. F. and Milburn, G. J. (1994). Quantum Optics, Springer-Verlag, Berlin, pp. 12-15.
28. Yeon, K. H. and Kim, H. J. (1994). Wave function in the invariant representation and squeezed-state function of the time-dependent harmonic oscillator. Physical Review A 50, 1035-1039.
29. Yeon, K. H., Kim, D. H., Um, C. I., George, T. F., and Pandey, L. N. (1997). Relations of canonical and unitary transformations for a general time-dependent quadratic Hamiltonian system. Physical Review A 55, 4023-4029.
30. Yeon, K. H., Kim, S. S., Moon, Y. M., Hong, S. K., Um, C. I., and George, T. F. (2001). The quantum under-, critical-, and over-damped driven harmonic oscillators. Journal of Physics A: Mathematical and General 34,7719-7732.
31. Yeon, K. H., Lee, K. K., Um, C. I., George, T. F., and Pandey, L. N. (1993). Exact quantum theory of a time-dependent bound quadratic Hamiltonian systems. Physical Review A 48, 2716-2720.
32. Zhang, S., Choi, J.-R., Um, C.-I., and Yeon, K.-H. (2002). Quantum uncertainties of mesoscopic inductance-resistance coupled circuit. Journal of the Korean Physical Society 40, 325-329.