Perspectives on the Fano Resonance Formula

Physica Scripta

Volumn 69, Issue 1, 2004, Pages

  Rau, A R P ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CONDUCTANCE; ELECTROMAGNETIC WAVE PROPAGATION; ELECTRON SCATTERING; ERROR ANALYSIS; HIGH ENERGY PHYSICS; HIGH TEMPERATURE EFFECTS; MAGNETIC FIELD EFFECTS; NANOTUBES;

PHOTONIC CRYSTALS; RESONANCE ENERGIES;

ELECTRON RESONANCE;

EID: 0347316439     PISSN: 00318949     EISSN: None     Source Type: Journal    
DOI: 10.1238/Physica.Regular.069a00C10     Document Type: Review

References (30)

1. Considered the greatest haiku by the Japanese master Basho (1644-1694), there are many versions in English translation. See, for instance. The Essential Haiku, (ed. by Robert Haas), (Harper Collins, New York, 1994), p. 18 and notes on p. 257 where the translator remarks that the last line, in particular, is variously rendered. In this spirit, I have taken the liberty of my own rendering.
2. Fano, U., Phys. Rev. 124, 1866 (1961); Fano, U. and Cooper, J. W., ibid 137, A1364 (1965).
3. Fano, U., Phys. Rev. 124, 1866 (1961); Fano, U. and Cooper, J. W., ibid 137, A1364 (1965).
4. Over 4000 citations since 1980.
5. See, for instance, Fano, U. and Cooper, J. W., Rev. Mod. Phys. 40, 441 (1968); Maeda, K., Ueda, K. and Ito, K., J. Phys. B 26, 1541 (1993).
6. See, for instance, Fano, U. and Cooper, J. W., Rev. Mod. Phys. 40, 441 (1968); Maeda, K., Ueda, K. and Ito, K., J. Phys. B 26, 1541 (1993).
7. See, for instance, Bryant, H. C., et al., Phys. Rev. Lett. 38, 228 (1977).
8. See, for instance, Bar-Ad, S., et al., Phys. Rev. Lett. 78, 1363 (1997); Neuhauser, D., Park, T. J. and Zink, J. I., ibid 85, 5304 (2000); Clerk, A. A., Waintal, X. and Brouwer, P. W., ibid 86, 4636 (2001); Madhavan, V., et al., ibid 86, 5128 (2001).
9. See for instance, Bar-Ad, S., et al., Phys. Rev. Lett. 78, 1363 (1997); Neuhauser, D., Park, T. J. and Zink, J. I., ibid 85, 5304 (2000); Clerk, A. A., Waintal, X. and Brouwer, P. W., ibid 86, 4636 (2001); Madhavan, V., et al., ibid 86, 5128 (2001).
10. See, for instance, Bar-Ad, S., et al., Phys. Rev. Lett. 78, 1363 (1997); Neuhauser, D., Park, T. J. and Zink, J. I., ibid 85, 5304 (2000); Clerk, A. A., Waintal, X. and Brouwer, P. W., ibid 86, 4636 (2001); Madhavan, V., et al., ibid 86, 5128 (2001).
11. See, for instance, Bar-Ad, S., et al., Phys. Rev. Lett. 78, 1363 (1997); Neuhauser, D., Park, T. J. and Zink, J. I., ibid 85, 5304 (2000); Clerk, A. A., Waintal, X. and Brouwer, P. W., ibid 86, 4636 (2001); Madhavan, V., et al., ibid 86, 5128 (2001).
12. Song, J. F., Ochiai, Y. and Bird, J. P., Appl. Phys. Lett. 82, 4561 (2003).
13. Kobayashi, K., et al., Phys. Rev. Lett. 88, 256806 (2002) and Physica E 18, 56 (2003).
14. Kobayashi, K., et al., Phys. Rev. Lett. 88, 256806 (2002) and Physica E 18, 56 (2003).
15. Nöckel, J. U. and Stone, A. D., Phys. Rev. B 50, 17415 (1994).
16. Zaharia, I. G., et al., Phys. Rev. B 64, 155311 (2001).
17. Kim, J., et al., Phys. Rev. Lett. 90, 166403 (2003).
18. Flach, S., et al., Phys. Rev. Lett. 90, 084101 (2003).
19. See, for instance, Blatt, J. M. and Weisskopf, V. F., "Theoretical Nuclear Physics" (Springer-Verlag, New York, 1979), chapter VIII; Segre, E., "Nuclei and Particles" (Benjamin, W. A. Inc., Reading, MA, 1977), second ed., Section 11-6; Perkins, D. H., "Introduction to High Energy Physics" (Addison-Wesley, Reading, MA, 1987), third ed., Section 4.8.
20. See, for instance, Blatt, J. M. and Weisskopf, V. F., "Theoretical Nuclear Physics" (Springer-Verlag, New York, 1979), chapter VIII; Segre, E., "Nuclei and Particles" (Benjamin, W. A. Inc., Reading, MA, 1977), second ed., Section 11-6; Perkins, D. H., "Introduction to High Energy Physics" (Addison-Wesley, Reading, MA, 1987), third ed., Section 4.8.
21. See, for instance, Blatt, J. M. and Weisskopf, V. F., "Theoretical Nuclear Physics" (Springer-Verlag, New York, 1979), chapter VIII; Segre, E., "Nuclei and Particles" (Benjamin, W. A. Inc., Reading, MA, 1977), second ed., Section 11-6; Perkins, D. H., "Introduction to High Energy Physics" (Addison-Wesley, Reading, MA, 1987), third ed., Section 4.8.
22. See, for instance, Besson, D., et al., Phys. Rev. Lett. 54, 381 (1985).
23. Eichmann, U., Gallagher, T. F. and Konik, R. M., Phys. Rev. Lett. 90, 233004 (2003).
24. Rau, A. R. P., Phys. Rev. Lett., submitted.
25. Rau, A. R. P., "Astronomy-inspired Atomic and Molecular Physics" (Kluwer Academic, Dordrecht, 2002).
26. Fano, U. and Rau, A. R. P., "Atomic Collisions and Spectra" (Academic, Orlando, 1986).
27. Landau, L. D. and Lifshitz, E. M., "Quantum Mechanics-Nonrelativistic Theory" (Pergamon, Oxford, 1977), third ed.
28. E, is of course central to the Fano resonance. In reading the Basho haiku at the beginning of the Comment, the pond is the continuum, the frog the discrete state, and the jump is the coupling.
29. Brownstein, K. R., Am. J. Phys. 43, 173 (1975); Kiang, D., ibid 45, 308 (1977).
30. Brownstein, K. R., Am. J. Phys. 43, 173 (1975); Kiang, D., ibid 45, 308 (1977).