Physics 827: Problem Set 3
Due Wednesday, October 10 by 11:59 PM
Each problem is worth 10 points. 1. Shankar, problem 1.9.2. 2. Shankar, problem 1.9.3. 3. Shankar, problem 1.10.3. 4. Consider the operator T = CK 2 , where K = -iD and D is the deriv
Physics 827: Problem Set 2
Due Wednesday, October 3 by 11:59 PM
Each problem is worth 10 points.
1. Shankar 1.7.1 2. Shankar 1.7.2 3. Shankar 1.8.2 4. Shankar 1.8.3 5. Shankar 1.8.5 6. Shankar 1.8.6 7. Shankar 1.8.10
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Solution to the Second Part of Shankar, Problem 1.3.4
In my original solution, I misinterpreted the phrase "the final inequality." The correct interpretation is that we should show that eq. (1.3.16) becomes an inequality if and only if |V = a|W , wh
Phys. 827: Problem Set 9
Due Wednesday, November 28, 2007 at 11:59 P. M. 1. Shankar, problem 12.5.3 (p. 329). 2. Consider a particle mass m moving in a spherically symmetric square well with potential V = -V0 for r < a; V = 0 for r > a (V0 > 0). (a)
Physics 827: Problem Set 8
Due Wednesday, November 21, 2007
1. Shankar, problem 10.3.2. 2. Shankar, problem 10.3.3. 3. Shankar, problem 10.3.6. 4. Prove the following properties of the angular momentum operators Lx , Ly , Lz , and L2 L2 + L2 + L2
Physics 827: Problem Set 7
Due Wednesday, November 14, 2007
1. (30 pts.) Coherent Quasi-Classical States of a Harmonic Oscillator. Consider a harmonic oscillator described by the Hamiltonian H = (a a + 1 ) , where = k/m, k is the spring constant a
Physics 827: Problem Set 6
Due Wednesday, October 31 by 11:59 P. M.
Each problem worth 10 points unless otherwise indicated
1. Shankar, Problem 7.3.4 2. Shankar, Problem 7.3.7 3. Shankar, Problem 7.4.1 4. Shankar, Problem 7.4.2 5. Shankar, Problem
Physics 827: Problem Set 5
Due Wednesday, October 24 at 11:59PM
Each problem is worth 10 pts. unless otherwise specified. 1. Shankar, exercise 5.2.1. 2. Shankar, exercise 5.2.2 . 3. Shankar, exercise, 5.2.5. 4. Shankar, exercise 5.2.6, part (1) onl
Physics 827: Problem Set 4
Due Wednesday, October 17, 2007 at 11:59 P. M. Problems are worth 10 pts. each unless otherwise specified. 1. Shankar, Problem 4.2.1 (20 pts.). 2. Shankar, Problem 4.2.2. 3. Shankar, Problem 4.2.3.
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