Quantum Physics

    

Derivation of the Pauli Exclusion Principle and Meaning Simplification of the Dirac Theory of the Hydrogen Atom

Authors: Sylwester Kornowski

In general, the Pauli Exclusion Principle follows from the spectroscopy whereas its origin is not good understood. To understand fully this principle, most important is the origin of quantization of the azimuthal quantum number i.e. of the angular momentum quantum number. Here, applying the theory of ellipse and starting from very simple physical condition, we quantized the azimuthal quantum number. The presented model leads directly to the eigenvalue of the square of angular momentum and to the additional potential energy that appears in the equation for the modified wave function. We formulated also a very simple semiclassical analog to the Dirac and Sommerfeld theories of the hydrogen atom. The constancy of the base of the natural logarithm for the quantum fields is the reason that the three theories are equivalent.

Comments: 9 Pages.

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Submission history

[v1] 2013-04-17 14:46:59
[v2] 2013-05-08 06:43:08
[v3] 2013-05-11 13:56:01
[v4] 2013-10-23 03:50:02
[v5] 2013-10-27 13:43:37
[v6] 2013-11-07 07:54:25
[v7] 2015-12-15 12:18:44

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