MIT5_74s09_pset0 - MIT OpenCourseWare http:/

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MIT OpenCourseWare 5.74 Introductory Quantum Mechanics II Spring 2009 For information about citing these materials or our Terms of Use, visit: .
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5.74, Problem Set #0 Spring 2009 Not graded These are some problems to make sure that you are up to speed on the basics of solving numerical problems. 1. Numerically solving for eigenstates and eigenvalues of an arbitrary 1D potential. Obtain the energy eigenvalues E n and wavefunctions ψ ( r ) for the anharmonic Morse n potential below. (Values of the parameters correspond to HF). Tabulate E n for n = 0 to 5, and plot the corresponding ψ n ( r ) . VD = e 1 e α x 2 Equilibrium bond energy: D e = 6.091×10 -19 J Equilibrium bond length: r 0 = 9.109×10 -11 m = r 0 xr Force constant: k = 1.039×10 3 J m -2 α = kD 2 e (If you aren’t familiar with these problems, study the notes and worksheets on the
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MIT5_74s09_pset0 - MIT OpenCourseWare http:/

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