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PHYS 561 Homework Three: Chapter 13 Solutions and Problems, Assignments of Physics

Solutions and problems for homework three of physics 561, chapter 13. Students are required to derive recursion relations for hydrogen atom solutions and energy eigenvalues, prove the virial theorem using the ehrenfest theorem, and solve additional problems. Due date is february 18, 2008.

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Pre 2010

Uploaded on 08/18/2009

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Download PHYS 561 Homework Three: Chapter 13 Solutions and Problems and more Assignments Physics in PDF only on Docsity! Homework Three: Chapter 13 Due February 18, 2008 PHYS 561 1. Shankar Problem 13.1.1 Derive the recursion relation for successive coefficients for the hydrogen atom solutions and the energy eigenvalues from the cutoff of the recursion. 2. Shankar 13.1.5 Given |nlm〉 stationery, 〈Ω̇〉 = 0. Consider Ω = −→ R · −→ P and use Ehrenfest theorem to prove virial theorem 〈T 〉 = −〈V 〉/2. 3. Shankar Problem 13.2.1 4. Shankar Problem 13.4.1 revision printed: February 11, 2008 Professor Thompson cthompson@niu.edu
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