homework9

# homework9 - Homework#9 — PHYS 402 — Spring 2011...

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Unformatted text preview: Homework #9 — PHYS 402 — Spring 2011 Deadline: Wednesday, April 20, 2011, in class Professor Victor Yakovenko Office: 2115 Physics Web page: http://www2.physics.umd.edu/ ~ yakovenk/teaching/ Textbook: David J. Griffiths, Introduction to Quantum Mechanics 2nd edition, Pearson Prentice Hall, 2005, ISBN 0-13-111892-7 Do not forget to write your name and the homework number! Be sure to answer all additional questions asked in this assignment! Total score is 35 points. Ch. 7 The Variational Principle 1. Problem 7.1, 10 points. Bound states for the linear and cubic potentials. Modification: Do the problem for (a) the linear potential V ( x ) = α | x | and (b) the cubic potential V ( x ) = α | x | 3 (not for V ( x ) = α | x | 4 as in the textbook). Hints: I highly recommend to write kinetic energy K in the form K = ¯ h 2 2 m Z dψ ( x ) dx ! 2 dx, rather than in the form K =- ¯ h 2 2 m Z ψ ( x ) d 2 ψ ( x ) dx 2 dx....
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homework9 - Homework#9 — PHYS 402 — Spring 2011...

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