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Problem_Set_3

# Problem_Set_3 - x ψ for an arbitrary 29 x ψ Problem...

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CHEM 370 P ROBLEM S ET 3 S PRING 2008 P ROBLEMS FROM M C Q UARRIE AND S IMON From Chapter 3/The Schröedinger Equation and the Particle in a Box Problem 3.18 (p. 98) Problem 3.20 (p. 99) Use results in Problem 3.10. Problem 3.21 (p. 99) Use results in Problem 3.10, as well as other results. Also show from your results in Problems 3.20 and 3.21 that this system obeys the Heisenberg Uncertainty Principle (text Sec. 3.8) x 2 ρ σ σ h . From Chapter 4/Some Postulates and General Principles of Quantum Machanics Problem 4.1 (p. 134) Problem 4.6 (p. 135) First show that ( 29 x ψ is normalized. Then do rest of problem. Problem 4.10 (p. 136) Use Handout 3/The Gaussian Integrals Problem 4.16ab (p. 137) You are less likely to make errors if instead of ˆ ˆ A,B you evaluate ( 29 ˆ ˆ A,B
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Unformatted text preview: x ψ for an arbitrary ( 29 x ψ . Problem 4.32 (p.140) See Eq. (4) on page 139 and read Problem 4.36. From Chapter 5/The Harmonic Oscillator and the Rigid Rotor: Two Spectroscopic Models Problem 5.3 (p. 180) Express the period T in terms of ω or ν. Problem 5.5 (p. 180) A similar result holds for a particle moving in three dimensions. See Problem 5.6. Problem 5.7 (p. 181) Show that if the mass of the proton p m r , then mass μ of an electron m e . Then explain why your calculation of μ for an H atom shows that the proton is nearly stationary. Problem 5.8 (p. 181) Problem 5.18 (p. 183) Problem 5.19 (p. 183) Problem 5.20 (p. 183) Problem 5.21 (p. 183) Due Monday February 18, 2008...
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