The Strange Points of Schrodinger Wave Equation/Function in Different Potential Well

What is it about?

This article is meant to examine the study of The Strange Point of Schrodinger Wave equation/function in a different potential well. We solve mostly time-independent Schrodinger Equation.

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Photo by Mark Stuckey on Unsplash

Photo by Mark Stuckey on Unsplash

Why is it important?

We discuss the strange points for the potential like as Catenary shaped potential well, Ellipsoidal potential well, and Circular potential well. In this article at first, we solve the Schrodinger equation for Catenary shaped potential well for a one-dimensional linear Harmonic oscillator, for this we find an extra constant in the potential energy which follows the Catenary equation in some special condition, and if the potential is of the form of the Catenary equation then we can say that this is one-dimensional Catenary shape potential well.

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