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# Lecture23 - ANNOUNCEMENTS Exam#3 Friday Seating Chart Will...

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ANNOUNCEMENTS Exam #3 Friday! Seating Chart Will Be Made Tomorrow Before Noon - Get Any Change Requests In NOW Final Exam A: Wednesday June 10 Final Exam B: Monday June 8 There Will Be Another Survey This Weekend… Get Signed Up for Make-up Labs Now if You Missed Any New Exam Cover Posted on Web

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PARTICLE in a BOX (cont) The Energies Are All Squared Integer Multiples of the Lowest: E n = n 2 E 1 , E 1 = h 2 / 8mL 2 Wave Functions Must Be Similar to Standing Waves on a String: Ψ (x,t) = A sin kx cos ϖ t For Now, Freeze Time Dependence So That cos ϖ t = 1 & Use k = 2 π / λ n : kx = 2 π x/ λ n = n π x / L n (x) = A n sin (n π x/L) When Normalized:
(x) = 2/L sin (n π x/L) MORE PARTICLE in a BOX This Example Chosen Because it (1) Has Electron Wave Functions Similar to Standing Waves, and (2) Illustrates Some General Results: Boundary Conditions Help to Determine the Wave Function Only Certain Energies Are Allowed, and These Are Related by a Quantum Number “n” The Lowest Allowed Energy is the “Ground State” As n , Results Must Agree With Classical Physics However: A n Usually Depend on “n” Not All Wave Functions Sinusoidal

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Lecture23 - ANNOUNCEMENTS Exam#3 Friday Seating Chart Will...

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