Click here to go back to Teaching page
Contents |
Quantum Mechanics II
Instructor: Dr. [Sabieh Anwar] Office hours: TBA.
Textbooks: "Quantum Mechanics: Theory and Experiment" by Mark Beck. (Primary textbook). "A Modern Approach to Quantum Mechanics" by John S. Townsend. (Useful complementary book)
Click here for the course outline.
Harmonic Oscillator (4 lectures)
Recitations and Simulations:
Reading suggestions:
Video recordings:
Creation, annihilation and number operators. [1]
Angular momentum in quantum mechanics, compatible observables. [2]
Time dependence of number states, time evolution. [3]
Coherent states. [4]
Wave Mechanics in Three Dimensions (4 lectures)
Recitation, reading suggestions and simulations:
Video recordings:
Angular part of Schrodinger equation for a central potential. [5]
Orbital angular momentum. [6]
Radial momentum operator, Rigid rotor[7]
Perturbation Theory (5 lectures)
Recitations and quiz:
Nondegenerate time-independent perturbation theory [8]
Introducing the time-dependent perturbation theory [9]
DC Stark effect in hydrogen [10]
Ammonia molecule in an external electric field [11]
Expository session on time-dependent perturbation theory [12]
Multi-Particle Systems, Entanglement, Nonlocality (5 lectures)
Reading suggestions
Please read in the same order,
Multi-particle states and operators [13]
Density operators and Bell states [14]
Applications of density operator concept [15]
Quantum mechanics: local or non local [16]
Applications of QM (Teleportation) [17]
Homework: (due date=10 November 2014; 5:00 pm) Homework on Density Operators and its Solution.
Recitation: (date=10 November 2014; 3:30 pm - 4:45 pm) deals with density operators Solution
Recitation: ( date=17 November 2014; 3:30 pm - 4:45 pm) deals with Quantum correlations and Bell's inequalities Solution
Addition of Angular Momentums (2 lectures)
Addition of angular momentums [18]
Addition of generalized angular momentums [19]
Perturbations to the H-atom [20]
Zeeman effect [21]
Identical particles [22]