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ECE3080_Homework1

# ECE3080_Homework1 - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL...

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ECE 3080: Homework #1 Due date: September 7, 2007 Page 1 of 2 G EORGIA I NSTITUTE OF T ECHNOLOGY S CHOOL OF E LECTRICAL AND C OMPUTER E NGINEERING ECE 3080: Semiconductor Devices for Computer Engineering and Telecommunication Systems Fall Semester 2007, Homework #1 Homework Due Date: Friday, September 7, 2007 1. Schroedinger’s Wave Equation (15 points): A one-dimensional infinite potential well with a width of 1.2 nm contains an electron. (a) Calculate the first two energy levels that the electron may occupy. (b) If an electron drops from the second energy level to the first, what is the wavelength of a photon that might be emitted? (c) For the lowest energy state, find the average momentum p x and the average energy E. 2. Finite Potential Well (40 points): Assume a potential well with width L and a finite height of the potential walls E (see sketch). The energy of the bottom of the well is E w and the energy of the top of the barrier is E a . The well extends from x = 0 to x = L.

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