The Quantum Oscillatory Modulated Potential - Part II - The Stability of the Hydrogen Atom

DOI: 10.4236/jmp.2012.38090   PDF   HTML   XML   4,115 Downloads   5,988 Views   Citations


The purpose of this work is to show the stability of the hydrogen atom with the use the Quantum Oscillatory Modulated Potential and the Heisenberg equations of motion, postulating that the electron in the hydrogen atom is behaving as a quantum harmonic oscillator. With the electron confined between two potential barriers, created by the new potential function, we are considering that at absolute temperature the power absorbed or emitted by the electron per unit of time can be used to determine the zero point energy of the oscillator. Assuming that electron is only exchanging energy with the nucleus of the atom we are making use of the operators of creation and annihilation of a photon to explain how the energy between the proton and the electron can be exchanged to keep the atom a stable system.

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W. Filho, "The Quantum Oscillatory Modulated Potential - Part II - The Stability of the Hydrogen Atom," Journal of Modern Physics, Vol. 3 No. 8, 2012, pp. 660-664. doi: 10.4236/jmp.2012.38090.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] D. A. McQuarrie, “Quantum Chemistry,” Universe Sci- ence Books, Margate, 1983.
[2] W. W. Filho, “Mecanica Quantica,” Editora da Universidade Federal de Goiás, Goiania, 2002.
[3] J. S. Towsend, “A Modern Approach to Quantum Mechanics,” McGraw Hill International Edition, 1992.
[4] W. Hauser, “Introduction to the Principles of Electromagnetism,” Addison Wesley Publishing Company Inc., Boston, 1986.
[5] P. A. Tipler, “Modern Physics,” Worh Publishers Inc., New York, 1977.
[6] R. M. Eisberg, “Fundamentals of Modern Physics,” John Wesley & Sons Inc., New York, 1961.
[7] R. da Silva and H. Pran?a, “A Estabilidade do átomo de Hidrogênio Segundo a Eletrodinamica Estocástica,” Re- vista Brasileira de Ensino de Física, Vol. 24, No. 1, 2002, pp. 1-13.
[8] E. Merzbacher, “Quantum Mechanics,” John Willey & Sons Inc., New York, 1976.
[9] J. J. Sakurai, “Modern Quantum Mechanics,” The Benjamin Cummings, Publishing Company Inc., Menlo Park, 1985.

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