ee606_s04_hw2 - following problem using MATLAB Assume that...

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Homework 2 Elements of Quantum Mechanics Due: Monday, January 26, 2004 1. Compute (approximately) the amount of power radiated by a blackbody (area 1.5 cm 2 ) between 1-2 μ m wavelengths at 2000 K (Refer to Fig. 2.1). Assuming that the average wavelength of the photons is 1.5 μ m, estimate the number of photons emitted per second by the blackbody. 2. Solve problems 2.1 and 2.10 from the end of the chapter. In the class, we solved for bound levels where particle energy E is less than confining potential V 0 . Problem 2.10 deals with the other case where E > V 0 . You can still solve the problem exactly the same way you did the bound level problem, but there will be one more unknown than the number of equations (hence you find the ratio, but not the absolute value of the constants). 3. Review the MATLAB script I provided and use the same parameters to solve the
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Unformatted text preview: following problem using MATLAB: Assume that the potential well width is 200 A. V(x)= 4.0 eV to the left of the well V(x)= 3.5 eV to the right of the well V(x)=0 inside the well (a) Submit the printout of the script you used. (b) What are the energies of the first five bound levels? Do they follow E n ~ n 2 rule for infinite well ? Check by setting the left and right potential to 20 eV each. Submit a plot of E n vs. n for both cases. (c) For both cases, plot the square of the wavefunctions (probability of finding an electron at location x) for the first five levels. • Save the scripts, we shall use them to solve other problems. • Later you will see the this structure is relevant to modern MOSFETs....
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