Recent content by Ashphy

  1. Ashphy

    Given the potential find the eigenfunction

    following your tip i tried to solve it like so: Let the general solution to a finite well from 0 to L be ##\psi=Bsin(kx)+Acos(kx)## then i apply the periodic condition such $$\begin{cases}\psi(0)=\psi(L)\\ \psi '(0)=\psi '(L)\end{cases},$$ Solving the system gives...
  2. Ashphy

    Given the potential find the eigenfunction

    Thank you! i would have never thought. so in this case do i just take my solutions for the potential well,with $$ \psi=\sqrt{2/L}sin(\frac{n\pi x}{L}) \\L\to\infty $$ doesn't it make ##\psi=0## ?
  3. Ashphy

    Given the potential find the eigenfunction

    thank you for that, i may be missing notes, is there any good book where i can find more?
  4. Ashphy

    Given the potential find the eigenfunction

    no i have not, i just recently started studying potentials and as of my class notes i have written that acceptable wave eigenfunctions must be normalizable, is it not so?
  5. Ashphy

    Given the potential find the eigenfunction

    Hi, this was one of the oral exam questions my teacher asked so i tried to solve it. Consider y>0 the energy spectrum here is continuous and non degenerate while for y<0 the spectrum is discrete and non degenerate because E<0. for y>0 i thought of 2 cases case 1 there is no wave function for...
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