© Meg Noah 2012 Homework Solutions The solutions for entire course’s homework (all from Liboff) in one single file. Lecture 1 Classical Quantum Mechanics; Position, Energy, Momentum Operators in Cartesian, Spherical and Cylindrical spaces; Quantum vs. Classical Mechanics, Famous Experiments; Photoelectric Effect; Blackbody Radiation; Bohr Atom; One Particle Hamiltonian; Wave-Particle Duality (Ch. 1, Ch. 2) Lecture 2 Postulates of Quantum Mechanics, Operators, Eigenfunctions, Eigenvalues (Sec. 3.1, 3.2, 3.3) Lecture 3 State Function and Expectation Values, Locality, Heisenberg’s Principle, Time Dependent Schrödinger’s Equation (Sec. 3.4) Lecture 4 Infinite Well and Examples (AlAs-GaAs, CdSe, Quantum Dots) Dirac Notation, Hilbert Space (Ch. 4) Lecture 5 Hermitian operator, Proof that wavefunctions are orthogonal (Sec. 4.5, 4.6) Lecture 6 Commutator Relations, Linear Independence, Parity Operator, Hamiltonian with Symmetric Potential commutes with Parity Operator (Sec. 5.2, 5.3, 5.4) Lecture 7 Heisenberg’s Principle, Cauchy-Swartz Inequality (Sec. 5.4 5.5) Lecture 8 Time Development of State Functions; Definition of Probability of Measurement; Time Development of Expectation Values; Ehrenfest’s Principle (Ch. 6) Lecture 9 Continuity Equation; Step Function Energy Barrier; Wall Energy Barrier (Sec. 7.5, 7.6, 7.7) Lecture 10 1D Harmonic Oscillator; Annihilation/Creation Operators (Sec. 7.2, 7.3) Lecture 11 Annihilation/Creation Operators in Dirac Notation (Sec. 7.3) Lecture 12 1D, 2D, 3D Infinite Box; Energy Degeneracy; 2-D Harmonic Oscillator; 2 Particles; Symmetric/Antisymmetric States; Hydrogen Atom; Eigenvalues of Hydrogen Angular Momentum (Sec. 8.6, 10.5, 10.6, Ch. 9) Lecture 13 Eigenvalues of Angular Momentum Operators, Ladder Operators, Rotational Energy Levels of Molecules (Ch. 9) Angular Momentum in Different Coordinate System; Spherical Harmonics; Legendre Polynomials and Associated Legendre Polynomials (Ch. 9) Lecture 15 Solving homework problems in class. Lecture 16 Solving homework problems in class; 2-particle problem Lecture 17 2-Particle System; Relative Hamiltonian with Reduced Mass; Hydrogenic Atom; Energy Degeneracy (Sec. 10.5, 10.6) 2-Particle System; Rydberg Constant; Spectroscopic Notation (Sec. 105, 10.6) Lecture 19 Solving homework problems in class.  Solutions to quiz. Lecture 20 Selection rules of Hydrogen atom (Sec. 10.7) Lecture 21 Spin; Stern-Gerlach; Pauli Spin Matrices (Ch. 11) Quantum Mechanics This course is an introduction to quantum mechanics.  The textbook is Introductory Quantum Mechanics written by Liboff. Homework Assignments The assignments with eache lecture for the entire course’s homework.