Misak Sargsian
M,W 5:006:15pm, CP103
Office Hours M,W  3:304:30pm, CP224/zoom,
sargsian@fiu.edu, 3053483954
Lecture 1 Classical Physics: (1)Mechanics and Newton's Laws (2) Principles vs Laws (3) Basic Quantities of the nature (4) Lagrangian, Action, Least Action Principle (5)Hamiltonian Lecture 2  Classical Physics: (1) Symmetries, (2)Transformations & Operators (3) Elements of group theory, (4) Generators and Algebra (5)Example of Space Translation and Rotation Lecture 3  Foundation of Quantum Mechanics Planck Paper (1)Complex Vector States in the Hilbert Space (2)Linear Operators (3)Relating above to physical observables (4)Correspondence Principle Lecture 4  Schroedinger Equation 1)TimeTranslation of the state vectors and Hamiltonian 2) Shcroedinger Equation and canonical commutators 3)Planck constant and natural units 4)Uncertainty principle 5) Space translation of state vectors and momentum operator 6) Wave functions and Shroedinger wave equation 7) Continuity equation  no probability is lost in QM Lecture 5  Stationary States 1)Seven Pillars of Wisdom of Schroedinger Equation 2) Virial Theorem Lecture 6  One Dimensional Examples: (1) Using symmetry properties of Hamiltonian to solve Schroedinger equations (2) Two state systems (3) Infinite square well (4) Finite size onedimensional square well (5) Delta function type potentials (6) Canonical Quantization (7) Harmonic Oscillators
Lecture 7 Three Dimensions with Spherical Symmetry (1)Orbital Angular momentum; (2) What it means to be spherically symmetric in QM (3) Properties of Angular momentum operator (4) Schroedinger Equation for Spherical Symmetry case (5) RungeLenz vector in quantum mechanics (6) Hydrogenlike Atoms (7) Radial Wave functions of Hydrogen Atom
Lecture 8 Symmetry and Spin (1)Spin and Rotations (2)Generators of rotation in the spinor space (3) Spin wave functions (4) Total angular momentum (5)Addition of Angular Momenta (6) ClebschGordan Coefficients (7) Example of Deuteron Wave function
Lecture 9  Approximation Methods of Bound State
(I)Bound State Perturbation Theory (1)The Perturbation Expansion (2)Example:Harmonic Oscillator (3)Fine Structure of Hydrogen Atom (3.1) The SpinOrbit Coupling Correction (3.2) The Relativistic Kinetic Energy Correction (4) The Hyperfine Structure of the Hydrogen Atom (5) Other Atoms (6) Atomic Clocks (II) The Variational Method (1) The General method (2) Application to the Helium Atom (III)Molecules (1)The BornOppenheimer Approximation (2)Application to Hydrogen Molecular Ion (IV) WKB Approximation Lecture 10 Potential Scattering (1)Kinematics, Setting up the scattering problem (2)The Scattering Amplitude (3) Born Approximation, Yukawa and Coulomb interactions (4)The Optical Theorem (5) Partial Waves (5.1) Expansion of a Plane Wave in a Legandre Series (5.2) Partial wave expansion of the scattering amplitude (5.3) Calculation of the Phase Shift (6) The Radial Wave function (6.1) The integral Equation (6.2) Partial Wave Green's Functions (6.3) Scattering by an Impenetrable Sphere Lecture 11 Quantum Mechanics of ManyBody Systems (1)Nonrelativistic IdenticalParticle Systems (2) Creation and Annihilation of Bosons (3) Creation and Annihilation of Fermions (4) Bosonic Gas (5) Fermionic Gas (6) From White Dwarfs to Neutron Stars

