Module #1 Introduction to Quantum Mechanics An overview of the history and principles of Quantum Mechanics, including the limitations of Classical Mechanics and the wave-particle duality
Module #2 Wave Functions and Probability Amplitudes The mathematical framework of Quantum Mechanics, including wave functions, probability amplitudes, and the Schrödinger equation
Module #3 Observables and Measurements The concept of observables, measurement, and the Heisenberg Uncertainty Principle
Module #4 Schrödingers Equation and Stationary States Solving the time-independent Schrödinger equation for stationary states and energy eigenvalues
Module #5 Particle in a Box and the Quantum Harmonic Oscillator Applications of the Schrödinger equation to simple systems:particle in a box and the quantum harmonic oscillator
Module #6 Angular Momentum and Spin The concept of angular momentum, spin, and the Stern-Gerlach experiment
Module #7 Central Potentials and Hydrogen Atom Solving the Schrödinger equation for central potentials, including the hydrogen atom
Module #8 Time-Dependent Schrödinger Equation Solving the time-dependent Schrödinger equation for time-evolution of quantum systems
Module #9 Interference and Superposition The principles of interference and superposition in quantum systems, including the double-slit experiment
Module #10 Entanglement and EPR Paradox The concept of entanglement, the EPR paradox, and Bells theorem
Module #11 Quantum Systems and Measurements The principles of quantum measurement, including the measurement problem and decoherence
Module #12 -many particle systems and Fermions The principles of many-particle systems, including Fermions and the Pauli exclusion principle
Module #13 Bosons and Symmetrization The principles of many-particle systems, including Bosons and symmetrization
Module #14 Quantum Field Theory and Creation/Annihilation Operators An introduction to quantum field theory, including creation and annihilation operators
Module #15 Scattering and Feynman Diagrams The principles of scattering theory, including Feynman diagrams and the Born approximation
Module #16 Quantum Computation and Quantum Information An introduction to quantum computation, including qubits, quantum gates, and quantum algorithms
Module #17 Quantum Error Correction and Quantum Cryptography The principles of quantum error correction and quantum cryptography
Module #18 Quantum Systems in Electromagnetic Fields The interaction of quantum systems with electromagnetic fields, including Zeeman effect and Stark effect
Module #19 Quantum Systems in Magnetic Fields The interaction of quantum systems with magnetic fields, including Landau levels and Aharonov-Bohm effect
Module #20 Quantum Systems in Periodic Potentials The interaction of quantum systems with periodic potentials, including band structure and Bloch theorem
Module #21 Quantum Systems in Disordered Systems The principles of quantum systems in disordered systems, including localization and Anderson transition
Module #22 Many-Body Localization and Quantum Phase Transitions The principles of many-body localization and quantum phase transitions
Module #23 Experimental Techniques in Quantum Mechanics An overview of experimental techniques in quantum mechanics, including spectroscopy and interferometry
Module #24 Course Wrap-Up & Conclusion Planning next steps in Quantum Mechanics career
