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# homework10 - Homework#10 PHYS 402 Spring 2011 Deadline...

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Homework #10 — PHYS 402 — Spring 2011 Deadline: Wednesday, April 27, 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 38 points. Ch. 8 The WKB Approximation 1. Problem 8.1, 8 points. A “shelf” in the inﬁnite square well. Use Eq. (8.16) to ﬁnd the allowed energies E n . 2. Problem 8.4, 10 points. Lifetimes of U 238 and Po 212 . For the reference: Atomic unit is 1 u = 931 MeV/ c 2 . The mass of α -particle (He 4 ) is m = 4 . 002602 u = 3727 MeV/ c 2 . U 238 ( Z = 92, A = 238, m = 238 . 050784 u) decays into Th 234 ( m = 234 . 043593 u). Po 212 ( Z = 84, A = 212, m = 211 . 988842 u) decays into Pb 208 ( m = 207 . 976627 u). 3. Triangular potential, 10 points.

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homework10 - Homework#10 PHYS 402 Spring 2011 Deadline...

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