In that paper some aspects of electron-photon interactions are discussed. Although that subject has already been treated in many publications there are still some unsolved problems: like relationship between photon duration and electron transit time, or conditions and probability of interaction processes. These are addressed in this paper and new results are obtained. For example, the electron-photon interaction process can only occur if the electron transit time from an energy level to another one is equal to the length of the photon in time or by other words to the duration of the interacting photon. That means the energy transfer in a specific process requires a specific processing time, i.e. the processing time and the processing energy are strictly connected to each other. If these two conditions are not satisfied simultaneously the interaction cannot be carried out. Further, it can be stated: time is passing as changes occur in the state of the material, like changes in its energy level, location, motion, composition, etc. To perform such a change, some energy is needed. If the inherent energy of a specific physical process which is utilized to carry out the change in the state of material is higher, the change is carried out in a shorter time. This relationship presents strict connection between energy and time
Conditions and Probability of electron-Photon Interactions, Optics.
Vol. 2, No. 1,
2013, pp. 17-24.
A. Einstein, "Zur quantentheorie der strahlung, in German, (On the quantum theory of radiation)," Physikalische Zeitschrift, vol. 18, pp. 121-128, 1917.
N. Bohr, "The quantum postulate and the recent development of atomic theory," Nature, vol. 121, pp. 580-590, 1928.
B. E. A. Saleh and M. C. Teich, Fundamentals of photonics, New York: Wiley, 1991.
J. Stachel et al. Ed., The collected papers of Albert Einstein, Princeton: Princ. Univ. Press, 1989.
N. Bohr in J. A. Wheeler and W. H. Zurek, Ed., Quantum theory and measurement, Princeton: Princ. Univ. Press, 1984, pp. 9–49.
A. Yariv, Quantum electronics, 3rd ed., New York: Wiley, 1989.
P. A. M. Dirac, The Principles of quantum mechanics, Oxford: Oxford Univ. Press, 1930.
V. Jacques, E. Wu, F. Grosshans, F. Treussart, Ph. Grangier, A. Aspect, and J.-F. Roch, "Experimental realization of Wheeler's delayed-choice gedanken experiment," Science, vol. 315, pp. 966-968, 2007.
B. Darquie, M. P. A. Jones, J. Dingjan, J. Beugnon, S. Bergamini, S. Y. Sortais, G. Messin, A. Browaeys, and P. Grangier, "Controlled single-photon emission from a single trapped two-level atom," Science, vol. 309, pp. 454-456, 2005.
T. Wilk, S. C. Webster, A. Kuhn, and G. Rempe, "Single-atom single-photon quantum interface," Science, vol. 317, pp. 488-490, 2007.
J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Kuzmich, and H. J. Kimble: "Deterministic generation of single photons from one atom trapped in a cavity," Sciencexpress, pp. 1-8, Feb. 2004.
S. M. Sze, Physics of semiconductor devices, 2nd ed., New York: Wiley, 1981.
Ch. E. Burkhardt and J. J. Leventhal, Topics in atomic physics, New York: Springer, 2006.
G. T. Ter-Kazarian, "Transition probability coefficients for electron-photon interaction processes," (in Russian), Aka-demiia Nauk SSSR, Doklady (ISSN 0002-3264), vol. 276, No. 3, pp. 598-603, 1984.
A. Hayat, P. Ginzburg, and M. Orenstein, "Observation of two-photon emission from semiconductors," Nature Photonics, vol. 2, pp. 238 – 241, 2008.
L. Mandelstam and I Tamm, "The uncertainty relation between energy and time in nonrelativistic quantum mechanics," Izv. Akad. Nauk. USSR, Fiz., vol. 9, No. 1-2, p. 122 and J. Phys. USSR, vol. 9, pp. 249-254, 1945.
J. Hilgevoord, "The uncertainty principle for energy and time," Am. Jour. of Physics, vol. 64, pp. 1451-1456, 1996.
P. Busch, "The time-energy uncertainty relation," in Time in Quantum Mechanics, 2nd ed., Ch. 3, vol. 734, Berlin / Hei-delberg: Springer, 2007.
R. Hafenbrak, S. M. Ulrich, P. Michler, L. Wang, A. Rastelli, and O. G. Schmidt, "Triggered polarization-entangled photon pairs from a single quantum dot up to 30 K," New Journal of Physics, vol. 9, p. 315, 2007.
R. Adler, "A study of locking phenomena in oscillators," Proc. IRE, vol. 34, pp. 351–357, 1946.
T. Berceli, Nonlinear active microwave circuits, Amsterdam: Elsevier Sc. Publ., 1987.
C. G. William, Effect of ultraviolet radiation on DNA, cell viability, and mutation frequency, New York: W. H. Freeman and Co., 1989.
A. Bagchi, Y.-H. Huang, Z. F. Xu, P. Raghunath, Y. T. Lee, C.-K. Ni, M. C. Lin, and Y.-P. Lee, "Photodissociation Dy-namics of Benzaldehyde (C6H5CHO) at 266, 248, and 193 nm," Chemistry – An Asian Journal, vol. 6, No. 11, pp. 2961–2976, Nov. 2011.
M. Uiberacker et al., "Attosecond real-time observation of electron tunnelling in atoms," Nature, vol. 446, pp. 627-632, 2007.
F. Krausz and M. Ivanov, "Attosecond physics," Review of Modern Physics, vol. 81, pp. 163-234, 2009.
J. Uffink, "The rate of evolution of a quantum state," Am. Journal of Physics, vol. 61, pp. 935-936, 1993.