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Answer by ZeroTheHero for Finite square well bound states

The simplest is to reorganize your equation so that$$\tan\left(\sqrt{\frac{2m V_0 a^2}{\hbar^2}\frac{E}{V_0}}\right)=-\sqrt{\frac{E/V_0}{1-E/V_0}}$$and define the dimensionless variables...

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Finite square well bound states

Let's suppose I have a finite potential well: $$V(x)=\begin{cases}\infty,\quad x<0\\0,\quad 0<x<a\\V_o,\quad x>a.\end{cases}$$I solved the time-independent Schrodinger equation for each...

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