Lectures related to Hubbard Models: Density Matrix Formalism

Indistinguishable Particles in Quantum Mechanics

Explores indistinguishable particles in quantum mechanics, discussing symmetry, density matrix, quantum statistics, exclusion principle, and particle behavior.

Jarzynski Equation and Quantum Circuits

Explores the Jarzynski equation and the quantization of electrical circuits in quantum harmonic oscillators.

Principles of Quantum Mechanics: Wave-Particle Dualism

Explores the wave-particle dualism in quantum mechanics and the quantification of energy levels in atoms.

Quantum Mechanics: Second Quantization Part 3

Explores second quantization in quantum mechanics, emphasizing mathematical formalism and applications in quantizing particles and fields.

Quantum Mechanics: Hilbert Space and Operators

Covers the fundamental concepts of quantum mechanics, focusing on Hilbert spaces and operators.

Quantum Mechanics: Second Quantization

Explores second quantization in quantum mechanics, emphasizing creation and annihilation operators in Hilbert and Fock spaces.

Quantum Physics I

Covers the basics of quantum physics, focusing on the quantum harmonic oscillator and eigen-kets of Hamiltonian.

Quantum Optics I: Quantized Harmonic Oscillator

Covers the quantization of the harmonic oscillator and its implications on the electromagnetic field, including vacuum energy effects.

Quantum Harmonic Oscillator: Mechanics and Applications

Explores the quantum harmonic oscillator's mechanics, energy dynamics, and applications in quantum physics.

Quantum Harmonic Oscillator

Explores the quantum harmonic oscillator, creation and annihilation operators, energy levels, and wave functions.

Quantum Harmonic Oscillator: Coupling and Coherent States

Covers the quantum harmonic oscillator and its applications in coupling quantum circuits.

Quantum Optics: Harmonic Oscillator

Covers the enhanced sensitivity of the LIGO gravitational wave detector using squeezed states of light.

Advanced General Chemistry I

Explores wave functions, electron density, quantum mechanics principles, operators, Schrödinger's equation, and key quantum terminologies.

Quantum Mechanics: Particle in a Box

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

Advanced General Chemistry I

Explores the quantization of energy levels, wave-particle duality, and uncertainty principle in advanced general chemistry.

Systems of Multiple Particles and Hartree-Fock Method

Explores systems of multiple particles and the Hartree-Fock method in quantum mechanics.

Time-Independent Perturbation Theory: Degenerate Case

Explores time-independent perturbation theory in the degenerate case within quantum physics.

Density Operators in Quantum Physics II

Explores density operators in quantum physics, emphasizing their role in describing quantum system states.

Spin Angular Momentum

Explores spin as angular momentum, its operators, commutation relations, and eigenstates in quantum mechanics.

Quantum Chemistry: Eigenfunctions and Operators

Explores eigenfunctions and operators in quantum chemistry, emphasizing their significance in understanding bound states.