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Theory of Electron-Photon Interaction

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Mesoscopic Physics and Electronics

Part of the book series: NanoScience and Technology ((NANO))

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Abstract

First, the theory for the bulk crystals [1-3] is described. According to Bloch’s theorem, a single-body state of an electron in a solid crystal of volume V takes the following form:

where b labels bands (conduction band, heavy-hole band, and so on), and Ubk is the cell-periodic function. The spin index is omitted for the sake of simplicity.

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References

  1. R.S. Knox, Theory of Excitons (Solid State Physics, Academic Press, New York, 1963)

    Google Scholar 

  2. D.C. Reynolds and T.C. Collins, Excitons — Their Properties and Uses ( Academic Press, New York, 1981)

    Google Scholar 

  3. S. Nakajima, Y. Toyozawa, and R. Abe, The Physics of Elementary Excitations [Springer Series in Solid-State Sciences Vol. 12] (Springer, Berlin, 1980)

    Google Scholar 

  4. J. Feldmann et al., Phys. Rev. Lett. 59, 2337 (1987)

    Article  CAS  Google Scholar 

  5. E. Hanamura, Phys. Rev. B 38, 1228 (1988)

    Article  Google Scholar 

  6. A. Nakamura, H. Yamada, and T. Tokizaki, Phys. Rev. B 40, 8585 (1989)

    Article  CAS  Google Scholar 

  7. T. Itho et al., Solid State Commun. 73, 271 (1990)

    Article  Google Scholar 

  8. A.F. Starace, Phys. Rev. A 3, 1242 (1971)

    Article  Google Scholar 

  9. E. De Salvo, R. Girlanda, and A. Quattropani, Nuovo Cimento 5, 63 (1985)

    Article  Google Scholar 

  10. A. Pasquarello and A. Quattropani, Phys. Rev. B 38, 6206 (1988)

    Article  Google Scholar 

  11. T. Ando and S. Mori, Surf. Sci. 113, 124 (1982)

    Article  CAS  Google Scholar 

  12. M. Yamanishi and I. Suemune, Jpn. J. Appl. Phys. 23, L35 (1984)

    Article  Google Scholar 

  13. A. Shimizu, Phys. Rev. B40, 1403 (1989)

    Article  Google Scholar 

  14. A. Shimizu, T. Ogawa, and H. Sakaki, Phys. Rev. B 45, 11338 (1992)

    Article  Google Scholar 

  15. T. Ogawa and A. Shimizu, Phys. Rev. B 48, 4910 (1993)

    Article  CAS  Google Scholar 

  16. A. Shimizu, M. Kuwata-Gonokami, and H. Sakaki, Appl. Phys. Lett. 61, 399 (1992)

    Article  CAS  Google Scholar 

  17. A. Shimizu and M. Yamanishi, Phys. Rev. Lett. 72, 3343 (1994)

    Article  Google Scholar 

  18. K. Fujii et al., Phys. Rev. Lett. 65, 1808 (1990)

    Article  CAS  Google Scholar 

  19. K. Tai et al., Phys. Rev. Lett. 62, 1784 (1989)

    Article  CAS  Google Scholar 

  20. R. Cingolani et al., Phys. Rev. Lett. 69, 1276 (1992)

    Article  CAS  Google Scholar 

  21. A. Shimizu, Phys. Rev. A 43, 3819 (1991)

    Article  Google Scholar 

  22. A. Shimizu, Nanostructures and Quantum Effects, edited by H. Sakaki and H. Noge [Springer Series in Material Science Vol. 31] (Springer, Berlin, 1994), p. 35

    Google Scholar 

  23. T. Okushima and A. Shimizu, Jpn. J. Appl. Phys. 34, 4508 (1995); T. Okushima and A Shimizu, unpublished

    Google Scholar 

  24. For a review, see for example, S.A. Fulling, Aspects of Quantum Field Theory in Curved Space-Time (Cambridge University Press, 1989 )

    Google Scholar 

  25. E. Yablonovitch, Phys. Rev. Lett. 62 (1989) 1742

    Article  Google Scholar 

  26. J. Schwinger, Proc. Natl. Acad. Sci. USA 90 (1993) 958

    Article  CAS  Google Scholar 

  27. K. Koshino and A. Shimizu, Phys. Rev. A 53, 4468 (1996)

    Article  CAS  Google Scholar 

  28. H. Fujisaki and A. Shimizu, J. Phys. Soc. Jpn. 66, 34 (1997); H. Fujisaki and A. Shimizu, Phys. Rev. A (submitted for publication)

    Google Scholar 

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© 1998 Springer-Verlag Berlin Heidelberg

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Shimizu, A. (1998). Theory of Electron-Photon Interaction. In: Ando, T., Arakawa, Y., Furuya, K., Komiyama, S., Nakashima, H. (eds) Mesoscopic Physics and Electronics. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71976-9_19

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  • DOI: https://doi.org/10.1007/978-3-642-71976-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71978-3

  • Online ISBN: 978-3-642-71976-9

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