Consider a particle in an infinite square well, but instead of having the well from 0...

Consider a particle in an infinite square well, but instead of having the well from 0 to L as we have done in the past, it is now centered at 0 and the walls are at x = −L/2 and x = L/2.

(a) Draw the first four energy eigenstates of this well.

(b) Write the eigenfunctions for each of these eigenstates.

(d) Can you find a general expression for the energy eigenstates for this well? (Hint: you should have a different form for even and odd solutions) (e) If instead, the well were from x = −L to x = L, how would these expressions change? Would the energy eigenvalues change? (And if so, how?)

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#Hi, I am providing you the very detailed solution for all the parts of the question you have asked. My drawing is little weird, I apologize. The picture is taken from my book of Quantum physics. ...which is in public....if you are happy and find this useful please thumbs up. In case, if you have any query regarding the solution please let me know in the comments section below. Thanks!!

genius_generous answered 1 year ago

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