Quantum Mechanics I (2017 semester 2)Prof. Matthew Luzum Sala 202, Ala II
Monitor: Daniel Teixeira Sala 329, Ala Central
HomeworkLectures
Lectures are scheduled for Mondays, Wednesdays, and Thursdays, 2:004:00 pm. Normally, Wednesdays will be used for problem solving sessions.  7 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)
 10 August  Structure of QM: Operators; commutators, outer product, resolutions of the identity, Hermitian antiHermitian and Unitary operators, spectra (Shankar Ch. 1, Littlejohn lecture notes)
 14 August  Structure of QM: Normalizable and nonnormalizable states, measurement, uncertainty principle (Sakurai Ch. 1, Littlejohn lecture notes)
 17 August  Application of postulates to a physical system  SternGerlach experiment; Mixed states and the density operator (Littlejohn SternGerlach , Littlejohn density operator, Sakurai Ch. 1)
 23 August  Spatial degrees of freedom  configuration space wavefunctions, spatial translations, momentum space (LIttlejohn notes)
 24 August  Time evolution (Littlejohn notes)
 28 August  Harmonic Oscillator (Littlejohn notes)
 31 August  Path Integrals (Littlejohn notes)
 11 September  Path Integrals II  stationary phase approximation, classical limit (Littlejohn notes)
 14 September  Particle in an electromagnetic field, gauge invariance, AharonovBohm effect (Sakurai Ch 2.7)
 25 September  Rotations/angular momentum (Sakurai Ch 3, Littlejohn classical rotations, Littlejohn spin1/2 rotations)
 28 September  Rotations in spin1/2 systems (Sakurai Ch 3, Littlejohn notes)
 2 October  Representations, matrix elements, irreducible subspaces (Sakurai Ch 3, LIttlejohn notes)
 5 October  Orbital angular momentum and spherical harmonics (Sakurai Ch 3, Littlejohn notes)
 9 October  Central potentials (Littlejohn notes, Sakurai Ch. 3)
 16 October  Coulomb potential, Hydrogen atom (Sakurai Ch. 3.7 and 4.1)
 18 October  Addition of angular momenta (Littlejohn notes, Sakurai Ch. 3)
 23 October  tensor operators, irreducible tensor operators, spherical tensor operators (Sakurai Ch. 3.11, Littlejohn notes)
 26 October  products of spherical tensor operators, WignerEckart theorem (Sakurai Ch. 3.11, Littlejohn notes)
 6 November  timeindependent perturbation theory; nondegenerate (Sakurai Ch. 5)
 9 November  degenerate timeindependent perturbation theory, variational method (Sakurai Ch. 5)
 13 November  timedependent perturbation theory, Dyson series (Littlejohn notes, Sakurai Ch 5)
 16 November  fine structure of the hydrogen atom (LIttlejohn notes)
Exams Midterm 1  21 September
 Midterm 2  1 November
 Final Exam  23 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

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