Exact analytical solution of a polariton model: Undetermined coefficient approach

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 2, 2002, Pages

  Qin, G ^a   Wang, K L ^a   Wang, Z D ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; EXCITONS; GROUND STATE; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PHOTONS; POLARIZATION; QUANTUM OPTICS;

POLARITON; SCHRODINGER EQUATION; WAVE FUNCTION;

QUANTUM THEORY;

EID: 4243705488     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. D. L. Mills and E. Burstein, Rep. Prog. Phys. 37, 817 (1974).
2. K. B. Tolpygo, Zh. Eksp. Teor. Fiz. 20, 497 (1950).
3. K. Huang, Proc. R. Soc. London, Ser. A 208, 352 (1951)
4. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, New York, 1954).
5. J. J. Hopfield, Phys. Rev. 112, 1555 (1958).
6. M. Artoni and J. L. Birman, Phys. Rev. B 44, 3736 (1991).
7. S. Ghoshal and A. Chatterjee, Phys. Rev. B 52, 982 (1995).
8. S. Ghoshal and A. Chatterjee, Phys. Lett. A 223, 195 (1996).
9. N. N. Bogoliubov, J. Phys. USSR 11, 23 (1947).
10. J. Javanainen, Phys. Rev. A 54, R3722 (1996).
11. G. Qin et al., e-print quant-ph/0109020 (unpublished).
12. C. M. Caves, Phys. Rev. D 23, 1693 (1981).
13. W. M. Zhang et al., Rev. Mod. Phys. 62, 867 (1990).
14. K. L. Wang et al., Phys. Lett. A 263, 103 (1997).
15. O. Madelung, Introduction to Solid State Theory (Springer-Verlag, Berlin, 1978), p. 254.
16. This model is different from the conventional Hopfield model studied in [5] or the models in [6,7]. It appears to be interesting to find a generalized form of all the above models in the future studies.
17. R. Loudon and P. L. Knight, J. Mod. Opt. 34, 709 (1987).