Study on the Phenomena of Potential Well in the View Point of Natural Statistical Physics

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Abstract

In this paper, we study on the phenomena of potential well in the view point of natural statistical physics. We derive the Schrodinger equation of potential well by virtue of my new theory of natural statistical physics. This derivation is very new and natural and reasonable in the physical sense. We solve the eigenvalue problem for the Schrodinger equation of potential well. Thereby we obtain the new and true eigenfunctions of the Schrodinger operator of the potential well. By virtue of my new theory, we can understand the phenomena of potential well naturally and reasonably in the physical sense. At last, we study the meaning of the impact force naturally and reasonably in the physical sense. As for these results, we refer to Ito [1] [4]. Especially, as for the phenomena of potential well, we refer to Ito [2], [4]. 2010 Mathematics Subject Classi cation. Primary 81Q05 ; Secondary 81Q99, 81V45, 82D35.

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