Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 1 Due in class: Thurs, Sept. 13, 2007
1. One of the dramatic realizations of modern physics is that all fundamental entities exhibit both wave and particle characteristics. Thus, (a) cl
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 9 Due in class: Thursday, Nov. 29, 2007
1. Consider a 3-dimensional box with infinite potential outside of the box: 0 V ( x, y , z ) = (0 x L x , 0 y L y , 0 z L z , ) otherwise
(a) Ass
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 8 Due in class: Thursday, Nov. 15, 2007
1. Problem 3.37 2. Problem 3.38 3. Problem 2.12 (In this problem you must not perform any integration. All answers can be obtained by just using
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 7 Due in class: Thursday, Nov. 1, 2007
1. Problem 3.12 2. Problem 3.22 3. Problem 3.23 4. Problem 3.27 5. Problem 3.28 ~ 6. Let the Hamiltonian H = 0 ( 1 1 + i 1 2 i 2 1 2 2
cfw_ 1 , 2
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 6 Due in class: Tuesday, Oct. 25, 2007
1. Problem 3.2 2. Problem 3.4 3. Problem 3.6 4. Problem 3.7
~ ~ 5. Consider an operator Q which has the property that Q 4 = 1 . What are the eigen
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 5 Due in class: Thursday, Oct. 11, 2007
1. Problem 2.25. Following identities might be useful:
df (| x |) / dx = f ( x ) ( x ) f ( x ) ( x ) ( x) + ( x) = 1 f ( x ) ( x ) = f (0) ( x )
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 4 Due in class: Thursday, Oct. 4, 2007
1. Problem 2.15 2. Problem 2.19 3. Problem 2.22 4. Problem 2.41 (Hint: try to represent the wavefunction as a linear superposition of stationary s
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 3 Due in class: Thursday, Sept. 27, 2007
1. Problem 2.4 2. Problem 2.5 3. Problem 2.6 4. Problem 2.7 5. Problem 2.8 6. When time t < 0, a particle of mass m is in the ground state of th
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 2 Due in class: Thursday, Sept. 20, 2007
1. First solve Problem 1.7. In fact, Ehrenfest theorem can be stated in the following generalized form for an ~ arbitrary quantum mechanical ope
Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 10 Due: Tuesday, Dec. 11, 2007
1. Problem 4.15 2. Problem 4.27 3. Problem 4.29 4. Problem 4.30 5. Problem 4.35 6. Problem 4.55
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