Transition between atomic states and semi-classical radiation theory using quantum perturbation

Conteúdo do artigo principal

Michael de Melo
Angelo Rober Pulici


Some phenomena cannot be solved using the exact solution of the Schrödinger equation. However, using approximated methods such as perturbation theory we are able to obtain remarkable results considering terms up to second order. The physical phenomena studied here are the absorption and stimulated emission by the classical feature. In addition, we are going to discuss the physical meaning of perturbation theory when we treat the behaviour how initial state ket evolves as time goes on. We will evaluate the transition of probability between states, the rate and the energy involved in the atomic transitions. It will be introduced fundamental concepts of quantum mechanics, such as interaction picture, and a general perturbation theory using constant and sinusoidal time-dependent perturbation term. Concerning to these phenomena, we considered the perturbed term of the Hamiltonian of the interaction between the vector potential and electron momentum.

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Biografia do Autor

Michael de Melo, Unifev

Michael Melo is Bachelor in Physics for USP, with master in Civil Engineering for UNESP and PhD in Materials Science at UNESP at Applied Physics. Currently is professor at Centro Educacional de Votuporanga-Unifev.

Angelo Rober Pulici, Unifev

Angelo Rober Pulici is Bachalor in Physics by Makenzie and is master in Molecular Biophysics at UNESP. Also is professor at Centro Educacional de Votuporanga – Unifev.


BUTKOV, E. Mathematical Physics. New York : Adison-Wesley Publishing Company, 1973.

COHEN-TANNOUGJI, C., DIU, B. AND LALOE, F. Quantum Mechanic. s.l. : John Wiley & Sons, 1977. p. 914. Vol. 1.

SAKURAI, J.J. Modern Quantum Mechanics. Rev. ed. s.l. : Addison-Wesley Publishing Company, Inc., 1994.

SHANKAR, R. Principles of Quantum Mechanics. 2 Ed. New York : Plenum Press, 1994. p. 698.

PULICI, A. R., Tempo de Tunelamento Quântico, Votuporanga: MOSAICO, v.1, p.43 - 49, 2006.