Review: wave function + Schrodinger equation; QM formalism+postulates; uncertainty principle

The qubit (spin ½); the Stern-Gerlach experiment; Tensor product;

Symmetries in Hilbert space and Noether's theorem; Rotations

Adding angular momentum; transformations - parity + time reversal; Identical particles

Particle in magnetic field, landau levels, hall effect; Aharonov-Bohm, magnetic monopoles

Non-degenerate + degenerate perturbation theory, variational method; WKB approximation

Adiabatic theorem, berry phase, time-dependent perturbation theory; Fermi’s golden rule

The Dirac Equation and Relativistic Corrections (Fine Structure)

Stark effect, Zeeman effect; Rabi oscillations;

Quantum Entanglement; Einstein-Podolsky-Rosen (EPR) Paradox; Bell's Theorem; Density Matrix

Introduction to Quantum Computing; Quantum Circuits; Quantum Algorithms: Deutsch-Jozsa, Grover’s Search; Error Correction Protocols

Introduction to Solid State: On-site Hamiltonian, Tight-Binding Model

Review: wave function + Schrodinger equation; QM formalism+postulates; uncertainty principle

The qubit (spin ½); the Stern-Gerlach experiment; Tensor product; 

Symmetries in Hilbert space and Noether's theorem; Rotations

Adding angular momentum; transformations - parity + time reversal; Identical particles

Particle in magnetic field, Landau levels, the Aharonov-Bohm effect

Non-degenerate + degenerate perturbation theory, variational method; WKB approximation

Adiabatic theorem, berry phase, time-dependent perturbation theory; Fermi’s golden rule

The Dirac Equation and Relativistic Corrections (Fine Structure)

Stark effect, Zeeman effect; Rabi oscillations; 

Quantum Entanglement; Einstein-Podolsky-Rosen (EPR) Paradox; Bell's Theorem; Density Matrix

Introduction to Quantum Computing; Quantum Circuits; Quantum Algorithms: Deutsch-Jozsa, Grover’s Search; Error Correction Protocols

Introduction to Solid State: On-site Hamiltonian, Tight-Binding Model

R. Shankar, Principles of Quantum Mechanics
D. H. McIntyre, Quantum Mechanics
D. Tong, Lectures on Theoretical Physics, Volume 3: Quantum Mechanics
L.E. Ballentine, Quantum Mechanics (library code: QC 174.12.B35).
J.J. Sakurai, Modern Quantum mechanics (library code: QC 174.12.S25).
Feynman Lectures Volume III.
P. A. M. Dirac, The Principles of Quantum Mechanics
S. Weinberg, Lectures on Quantum Mechanics