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Quantum Mechanics I
Instructor: Dr. [Sabieh Anwar] Office hours: are Monday and Wednesday, 4 to 5 pm.
Teaching Fellows: [Aroosa Ijaz] Office hours: Monday (10:00 am to 12:00 noon), [Mustafa Afzal Saeed] Office hours: Thursday (10:00 am to 12:00 noon) and [Kaneez Amna]. Aroosa and Mustafa will be available in the Physics Department's lounge at the available times.
Textbooks: "Quantum Mechanics: Theory and Experiment" by Mark Beck. (Primary textbook). Three copies are available in the Course Reserve section in the LUMS Library. Copies of the supplementary textbook "Quantum Mechanics: Concepts and Applications" are also available in the Coourse Reserve Section.
Click here for the course outline. Homeworks, quizes and exams have been temporarily suppressed from the website.
Classical Description of Polarization (3 lectures)
Here is an interesting list of animations showing the polarization states of light.
Quantum States (2 lectures)
Quantum Operators (3 lectures)
Measurement (2 lectures combined as one)
Video recordings:
Unit, adjoint, rotation, projection operators. [1]
Representing states and operators, Similarity transformation.[2]
Change of Bases, Hermitian operators, real eigenvalues.[3]
Spectral decomposition of Hermitian operators, Measurement outcomes, Indeterminacy principle.[4]
Spin-1/2 (3 lectures)
Video recordings:
Force on a Magnetic Dipole, Interference of spin states. [5]
Commutation relations, Bloch sphere.[6]
Single spin-1/2 quantum gates. [7]
Angular Momentum in Quantum Mechanics (3 lectures)
Video recordings:
Compatible observables, Simultaneous eigenbasis, Spin-1/2 angular momentum. [8]
Generalized angular momentum. [9]
Exemplifying the angular momentum. [10]
The Schrödinger Equation (4 lectures)
Tutorial and reading suggestions:
Video recordings:
Solution to time dependent Schrödinger Equation , temporal evolution of expectation values.[11]
Magnetic Resonance. [12]
NMR experiment, Rabi flipping. [13]
Muon spin rotation. [14]
The Wavefunction (3 lectures)
Meaning of the wavefunction, wavefunction of a position eigenstate. [15]
Measuring momentum, position-momentum commutator. [16]
Momentum basis, momentum eigenstate in position basis, Fourier transforms. [17]
Wave Mechanical Formulation of Schrödinger Equation (3 lectures)
Supplementary material and simulations:
The Schrödinger equation in position basis, Potential step. [18]
Scattering and tunneling. [19]
Radioactivity, Wavepackets. [20]