disc308 - Physics 225/315 Name Practice Problems III 1 A...

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Physics 225/315 March 10, 2008 Name Practice Problems III 1. A half-infinite well extends from x = 0 to x = L . The potential energy within the well is zero. For x > L the potential energy is V . The potential energy is infinite for x < 0. The energy of an electron in the ground state is V/ 2. a) Sketch the wave function b) Write the wave function and the matching conditions at the boundaries. c) Find the width of the well in terms of given quantities. d) Assume that V = 2 eV. Find the width of the well in nanometers. 2. For the problem of transmission therough a potential barrier. use the expression for the
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