Quantum Mechanics I (2020 semester 2)Prof. Matthew Luzum
HomeworkLectures
Lectures are scheduled for Mondays, Wednesdays, and Thursdays, 2:004:00 pm. Normally, Wednesdays will be used for problem solving sessions.  17 August  Structure of Quantum Mechanics: postulates, Hilbert space (Shankar ch. 1. Other references: Sakurai ch. 1, Weinberg ch 3, Littlejohn lecture notes, Jaffe lecture notes)
 ? August  Structure of QM: Operators; commutators, outer product, resolutions of the identity, Hermitian antiHermitian and Unitary operators, spectra (Shankar Ch. 1, Littlejohn lecture notes)
 ? August  Structure of QM: Normalizable and nonnormalizable states, measurement, uncertainty principle (Sakurai Ch. 1, Littlejohn lecture notes)
 ? August  Application of postulates to a physical system  SternGerlach experiment; Mixed states and the density operator (Littlejohn SternGerlach , Littlejohn density operator, Sakurai Ch. 1)
 ? August  Spatial degrees of freedom  configuration space wavefunctions, spatial translations, momentum space (LIttlejohn notes)
 ? August  Time evolution (Littlejohn notes)
 ? August  Harmonic Oscillator (Littlejohn notes)
 ? August  Path Integrals (Littlejohn notes)
 ? September  Path Integrals II  stationary phase approximation, classical limit (Littlejohn notes)
 ? September  Particle in an electromagnetic field, gauge invariance, AharonovBohm effect (Sakurai Ch 2.7)
 ? September  Rotations/angular momentum (Sakurai Ch 3, Littlejohn classical rotations, Littlejohn spin1/2 rotations)
 ? September  Rotations in spin1/2 systems (Sakurai Ch 3, Littlejohn notes)
 ? October  Representations, matrix elements, irreducible subspaces (Sakurai Ch 3, LIttlejohn notes)
 ? October  Orbital angular momentum and spherical harmonics (Sakurai Ch 3, Littlejohn notes)
 ? October  Central potentials (Littlejohn notes, Sakurai Ch. 3)
 ? October  Coulomb potential, Hydrogen atom (Sakurai Ch. 3.7 and 4.1)
 ? October  Addition of angular momenta (Littlejohn notes, Sakurai Ch. 3)
 ? October  tensor operators, irreducible tensor operators, spherical tensor operators (Sakurai Ch. 3.11, Littlejohn notes)
 ? October  products of spherical tensor operators, WignerEckart theorem (Sakurai Ch. 3.11, Littlejohn notes)
 ? November  timeindependent perturbation theory; nondegenerate (Sakurai Ch. 5)
 ? November  degenerate timeindependent perturbation theory, variational method (Sakurai Ch. 5)
 ? November  timedependent perturbation theory, Dyson series (Littlejohn notes, Sakurai Ch 5)
 ? November  fine structure of the hydrogen atom (LIttlejohn notes)
Exams Midterm 1  ? September
 Midterm 2  ? November
 Final Exam  ? November
Suggested textbooks
Main text  J.J. Sakurai, "Modern Quantum Mechanics"
Other texts  Shankar, Principles of Quantum Mechanics.
 Weinberg, Lectures on Quantum Mechanics
Evaluation
Grades will be based on homework (10%) and the best 2 out of 3 exams (45% each).
The two midterm exams will cover ~50% of the material, and the final exam will review the entire semester. The lowest score of the three exams will be dropped, and the remaining 2 scores will determine 90% of your final grade.
ProgramTentative list of topics:  General structure of quantum mechanics
 Examples
 Angular momentum / spin
 Approximation methods

Updating...
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 15, 2020, 12:52 PM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
Ċ Matt Luzum, Jul 3, 2020, 10:52 AM
