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PHYS_342_hmwrk3_1dpotentials

PHYS_342_hmwrk3_1dpotentials - PHYS342 FallSemester2011...

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1 PHYS 342 Fall Semester 2011 Homework No. 3 Due: September 23, 2011 1. An electron is confined to a one-dimensional infinite well. From experiment, the first excited state is measured to have an energy 1.2 eV above the ground state. What must be the width of the well? 2. One electron is confined to a one-dimensional well with potential barriers that are 10.0 eV high. The potential inside the well is 0 eV. a) State clearly in one sentence how an energy of 1 eV is related to the standard unit of measure of energy, the Joule. b) Experimentally, the lowest three energy eigenstates for the electron are measured to be 0.08 eV; 0.33 eV and 0.75 eV. What must be the width of the well? c) How many bound states does this well support? The solution to this problem can be facilitated by using the applet found at: http://phet.colorado.edu/en/simulation/bound-states 3. An electron with kinetic energy E=5.0 eV is incident on a potential barrier of height 5.5 eV and width of 10 nm. What is the probability that this electron will tunnel through the potential barrier? Show all your work.
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