Mathematical formulation of quantum mechanics

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Quantum Mechanics: Particle in a Box

Explores quantum mechanics, emphasizing the harmonic oscillator and particle confinement in a box.

Hartree-Fock Equations for N Fermions

Discusses the minimization of the Hartree-Fock functional for N fermions and the variational principle in quantum physics.

Introduction to Quantum Chaos

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Irreducible Representations of Rotations Group

Explores irreducible representations of the rotations group and their mathematical properties.

Group Repetition Theory: Character Representations

Explores character representations in group repetition theory, discussing irreducibility, equivalence, and associated values.

Quantum Bosons: Second Quantification

Explores perturbation theory, proper states, undegenerated states, and problem-solving in quantum bosons.

Second Quantification of Fermions

Explores the second quantification of fermions, including ventilation operators and annihilation rates.

Quantum Physics II: Time-Independent Perturbation Theory

Explores time-independent perturbations in quantum physics, covering variational principle and Fourier series.

Berry phases in condensed matter physics

Explores the theory of electric polarization and orbital magnetization in condensed matter physics, focusing on quantum aspects and topological insulators.

Elements of Lie Groups and Algebras

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.