Syllabus+(Spring),+Quantum+Mechanics

1) Review of Lagrange and Hamilton formalism (Poisson brackets, Action, Hamilton-Jacobi Eq.)   2) Motivations and review of QM formalism (Commutators, Operators, Schrödinger Eq.) 3) 1D systems, WKB method, Barrier Penetration, Thermonuclear energy release in stars, Nuclear reactions networks, Role of neutrinos, Radioactive decays   4) 3D systems, Angular momentum, Spin and its coupling with EM field (brief explanation of Dirac Eqn), Zeeman effect, Magnetic fields in Astrophysics 5) Identical Particles, Degenerate Matter, WD, NS   6) Hydrogen Atom, Perturbation theory, Complex atoms and structure of their spectra, Classification of stars 7) Variational principle, Examples of He and H2.   8) Semi‐classical radiation theory, Molecular Structure, Rotation and Vibration Spectra, Line Broadening, Line profiles 9) Presentations on specific QM topics in astrophysics. Topics are selected and presented by the students with input from instructor.
 * Quantum Mechanics for Astrophysics **