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Unformatted text preview: terms of k x and other relevant quantum numbers. (d) For an electron in the conduction band of Silicon, the Hamiltonian that describes the quantum mechanical motion of electron described by ) ~ ~ ~ ( 2 1 ~ 2 2 2 z y x eff p p p m H + + = where m eff is the effective mass that is about 20% of the real electron mass. Now we put an electron in a Silicon nanowire whose cross section is 10 x 10 nm 2 . Assume that this nanowire can be reasonably described by the model in (c). Now at a temperature T , the electron has a total energy k B T where k B is Boltzmann constant. Find the upper limit of the temperatures that the electron behaves as if it is confined in 1dimensional box (i.e., the energy is small enough that the quantum numbers other than k x is fixed to their lowest value). 2. Problem 4.38 3. Problem 4.19 4. Problem 4.24 5. Problem 4.9 6. Problem 4.13 1...
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This note was uploaded on 02/23/2010 for the course PHYS 4021 taught by Professor Kim during the Fall '08 term at Columbia.
 Fall '08
 Kim
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