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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 0131118927 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 ) =  x  and (b) the cubic potential V ( x ) =  x  3 (not for V ( x ) =  x  4 as in the textbook). Hints: I highly recommend to write kinetic energy K in the form K = h 2 2 m Z d ( x ) dx ! 2 dx, rather than in the form K = h 2 2 m Z ( x ) d 2 ( x ) dx 2 dx....
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