Chem 442 Homework Set #6 DUE: Wednesday, November 12, 2008 1) McQ&S 6-46 2) McQ&S 6-47 3) In this problem and the next, we will find the approximate solutions for the quartic oscillator using the variational method. The Hamiltonian for the quartic oscillator is given by: 2242ˆ2dHDmdx=−+=xIn this problem, use the ground state wavefunction of the harmonic oscillator (use 2, not βα) as the trial function. You can then treat as a variational parameter. Note: the integral covers x−∞≤ ≤∞. a) Show that the optimal value for the variational parameter is 1/626optDm⎛⎞=⎜⎟⎝⎠=. b)
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This note was uploaded on 02/12/2011 for the course CHEMISTRY 442 taught by Professor Lizzy during the Spring '10 term at Hanoi University of Technology.