The permittivity in the Huttner-Barnett theory of QED in dielectrics

Europhysics Letters

Volumn 43, Issue 1, 1998, Pages 13-16

  Dutra, S M ^a   Furuya, K ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032122607     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1998-00311-6     Document Type: Article

References (27)

1. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
2. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
3. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
4. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
5. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
6. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
7. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
8. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
9. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
10. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
11. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
12. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
13. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
14. YABLONOVITCH E., Phys. Rev. Lett., 58 (1987) 2059; JOHN S., Phys. Rev. Lett., 58 (1987) 2486; YABLONOVITCH E., J. Mod. Opt., 41 (1994) 173; YOKOYAMA H. and UJIHARA K., Spontaneous Emission and Laser Oscillation in Microcavities (CRC Press) 1995; CHANG R. K., CHEN G. and MAZUMDER MD. M., in Proceedings of the NATO Advanced Study Institute on Quantum Optics of Confined Systems, edited by M. DUCLOY and D. BLOCH (Kluwer Academic Publishers, Les Houches, France) 1995, pp. 75-99; SLUSHER R. E. et al., Phys. Rev. Lett., 55 (1985) 2409; LEVENSON M. D. et al., Phys. Rev. A, 32 (1985) 1550; SHELBY R. M. et al., Phys. Rev. Lett., 57 (1986) 691; LEVENSON M. D., SHELBY R. M., REID M. and WALLS D. F., Phys. Rev. Lett., 57 (1986) 2473; WU L.-A., XIAO M. and KIMBLE H. J., J. Opt. Soc. Am. B, 4 (1987) 1465; SLUSHER R. E. et al., Phys. Rev. Lett., 59 (1987) 2566; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. Lett., 68 (1992) 2421; STEINBERG A. M., KWIAT P. G. and CHIAO R. Y., Phys. Rev. A, 45 (1992) 6659; JEFFERS J. and BARNETT S. M., Phys. Rev. A, 47 (1993) 3291.
15. There are several references dealing with QED in material media dating as far back as M. Born and L. Infeld's 1934 paper. For a long list of the main articles on this subject see, for instance, DUTRA S. M. and FURUYA K., Phys. Rev. A, 55 (1997) 3832.
16. HUTTNER B. and BARNETT S. M., Europhys. Lett., 18 (1992) 487; HUTTNER B. and BARNETT S. M., Phys. Rev. A, 46 (1992) 4306.
17. HUTTNER B. and BARNETT S. M., Europhys. Lett., 18 (1992) 487; HUTTNER B. and BARNETT S. M., Phys. Rev. A, 46 (1992) 4306.
18. BARNETT S. M., HUTTNER B. and LOUDON R., Phys. Rev. Lett., 68 (1992) 3698.
19. AL-DOSSARY O., BABIKER M. and ENFATI N., Phys. Rev. A, 54 (1996) 2419.
20. SNEDDON I. N., The Use of Integral Transforms (McGraw-Hill, New York) 1972, pp. 58-60.
21. ARFKEN G. B. and WEBER H. J., Mathematical Methods for Physicists, fourth edition (Academic Press, San Diego) 1995, pp. 444; NUSSENZVEIG H. M., Causality and Dispersion Relations (Academic Press, New York) 1972, pp. 27-28; HILGEVOORD J., Dispersion Relations and Causal Description (North-Holland, Amsterdam) 1962; TICHMARSH E. C., Introduction to the Theory of Fourier Integrals, second edition (Oxford University Press, New York) 1937.
22. ARFKEN G. B. and WEBER H. J., Mathematical Methods for Physicists, fourth edition (Academic Press, San Diego) 1995, pp. 444; NUSSENZVEIG H. M., Causality and Dispersion Relations (Academic Press, New York) 1972, pp. 27-28; HILGEVOORD J., Dispersion Relations and Causal Description (North-Holland, Amsterdam) 1962; TICHMARSH E. C., Introduction to the Theory of Fourier Integrals, second edition (Oxford University Press, New York) 1937.
23. ARFKEN G. B. and WEBER H. J., Mathematical Methods for Physicists, fourth edition (Academic Press, San Diego) 1995, pp. 444; NUSSENZVEIG H. M., Causality and Dispersion Relations (Academic Press, New York) 1972, pp. 27-28; HILGEVOORD J., Dispersion Relations and Causal Description (North-Holland, Amsterdam) 1962; TICHMARSH E. C., Introduction to the Theory of Fourier Integrals, second edition (Oxford University Press, New York) 1937.
24. ARFKEN G. B. and WEBER H. J., Mathematical Methods for Physicists, fourth edition (Academic Press, San Diego) 1995, pp. 444; NUSSENZVEIG H. M., Causality and Dispersion Relations (Academic Press, New York) 1972, pp. 27-28; HILGEVOORD J., Dispersion Relations and Causal Description (North-Holland, Amsterdam) 1962; TICHMARSH E. C., Introduction to the Theory of Fourier Integrals, second edition (Oxford University Press, New York) 1937.
25. λ(k, t) is square integrable.
26. DUTRA S. M. and FURUYA K., submitted to Phys. Rev. A.
27. KLINGSHIRN C. F., Semiconductor Optics (Springer-Verlag, Berlin) 1995, pp. 57-65.