Quiz-5 - Quiz #5: Schrdinger Equation March 31, 2008...

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Quiz #5: Schrödinger Equation March 31, 2008 SOLUTIONS Complete both of the following problems. Show all of your work for full credit. Problem 1 For a proton inside a one-dimensional finite square potential well with width L = 10 -5 nm draw the wave function AND the probability distribution of the proton position in the n = 4 state. Roughly estimate the proton’s kinetic energy in this state. Assume (only for the calculations, not for the drawing!) that the well is infinite. Ψ 0L Ψ 2 eV 10 3 . 3 ) nm 10 ( ) eV 10 938 ( 8 ) eVnm 1240 ( 4 8 ) ( 2 2 7 2 5 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 × = × × × = =
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This note was uploaded on 04/22/2008 for the course PHYS 320 taught by Professor Baski during the Spring '04 term at VCU.

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Quiz-5 - Quiz #5: Schrdinger Equation March 31, 2008...

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