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Unformatted text preview: Problem Set 2 CHEM 482 Concepts and Applications of QM Fall 2009 PART I: Suggested completion date: September 25, 2009 (This assignment will not be collected.) Read the following sections: in Atkins: 1.5-1.7, 2.1 in McMahon: 20-23, 35-59 Solve the following in Atkins: Discussion Questions: 2.1, 2.2, 2.3, 2.4 (for now, just answer 2.1, 2.2 and 2.3 as they relate to a particle in a box) Exercises: 1.14a, 1.14b 2.1b, 2.2b, 2.5b, 2.7b Problems: 1.14, 1.20, 1.21 2.15a (solve for ground state wavefunction), 2.30, 2.31 Supplemental Problems 2.1, 2.2, 2.3, 2.4 PART II: Suggested completion date: October 5, 2009 (This assignment will not be collected.) Read the following sections in Atkins: 2.2-2.5, 2.9 Solve the following in Atkins: Discussion Questions: 2.2, 2.3 (redo these with the QM-HO in mind) Exercises: 2.10b, 2.11b, 2.13b, 2.15b Problems: 2.2, 2.5, 2.15b (solve for the ground state wavefunction) Supplemental Problems 2.5, 2.6, 2.7 Supplemental Problem 2.1 We’ll discuss the following problem and state the answers in class, but you should derive the solution as a homework exercise. A particle is initially in the ground state of an infinite square well potential of length a: Ψ(x,t=0) = ψ n= 1 (x) At t=0 , the box is instantaneously expanded to a length of 2a. (a) Define the stationary states of the larger box as ψ n’ , and derive an expression for the amount of ψ n’ contained in Ψ(x,t=0)....
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- Spring '07
- ground state, Atkins, initial wave function, Supplemental Problem