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On the Heisenberg and Schrödinger Pictures

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DOI: 10.4236/jmp.2014.55027    4,678 Downloads   6,558 Views   Citations

ABSTRACT

A quantum theory for a one-electron system can be developed in either Heisenberg picture or Schrodinger picture. For a many-electron system, a theory must be developed in the Heisenberg picture, and the indistinguishability and Pauli’s exclusion principle must be incorporated. The hydrogen atom energy levels are obtained by solving the Schrodinger energy eigenvalue equation, which is the most significant result obtained in the Schrodinger picture. Both boson and fermion field equations are nonlinear in the presence of a pair interaction.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

How to cite this paper: Fujita, S., MacNabb III, J. and Suzuki, A. (2014) On the Heisenberg and Schrödinger Pictures. Journal of Modern Physics, 5, 171-176. http://dx.doi.org/10.4236/jmp.2014.55027

References

[1] Dirac, P.A.M. (1958) The Principles of Quantum Mechanics. 4th Edition, Oxford Univ. Press, Oxford, 89-94; 121-125; 130-136; 136-139; 207-211; 227-237; 248-252.
[2] Debye, P. (1972) Annalen der Physik, 39, 789-839.
[3] Ginzburg, V.L. and Landau, L.D. (1950) Zh. Eksp. Teor. Fiz., 20, 1064-1082. [English translation in: L. D. Landau, “Collected papers,” Oxford: Pergamon Press (1965), 546.]

  
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