# wave function in infinite square well, with potential step

**1. The problem statement, all variables and given/known data**

A Particle energy A trapped in infinite square well. U(x)=0 for 0<x<L and U(x)=U0 for L<x<2L. find the wave function of the particle when A) E>U0 B) E<U0 C) E=U0.

**2. Relevant equations**

1-D time independent Schrodinger equation.

**3. The attempt at a solution**

I have the correct wavefunctions for the particle from 0<x<L and L<x<2L ,(have checked solutions) however I dont understand how to write join them together into one function.

any help would be appreciated, I am new to this subject so please go easy on me haha.

thanks in advance,

S.

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