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Homework Help: Wave function in infinite square well, with potential step

  1. Apr 9, 2014 #1
    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,

  2. jcsd
  3. Apr 9, 2014 #2


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    Science Advisor
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    2017 Award

    When you say "I have the correct wavefunctions" you mean general solutions with integration constants ? Those can be found by applying the proper boundary conditions: that way you "join" the wavefunctions . So under 2. you should list some of these conditions.
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