Lectures related to Variational principle

Hamiltonian Mechanics: Phase Space and Poisson Bracket

Explores phase space, the Poisson bracket, and Hamiltonian mechanics concepts.

Quantum Chemistry: Perturbation Theory

Covers perturbation theory in quantum chemistry, variational principle, Pauli principle, and separability of operators.

Density Functional Theory

Covers the Density Functional Theory, including the Hartree-Fock method and the Kohn-Sham scheme.

Perturbation Theory and Variational Principle

Covers perturbation theory, variational principle, and systematic approaches to determining true energy levels.

Theoretical Foundations of DFT

Explores the Hohenberg-Kohn Theorems, electron density distributions, and the variational principle in DFT.

Quantum Mechanics Basics

Covers the basics of quantum mechanics, focusing on solving the non relativistic Schrodinger equation.

Quantum Chemistry: Postulates and Harmonic Oscillator

Explores the historical perspective and postulates of quantum mechanics, focusing on the harmonic oscillator and approximation methods.

Quantum Approximate Optimization Algorithm

Covers the Quantum Approximate Optimization Algorithm, physically inspired unitary coupled cluster ansatz, hardware-efficient ansatz, and variational quantum eigensolver.

Variational Calculus and Least Action Principle

Covers the principle of least action and variational calculus in discovering equations of motion.

Quantum Physics II: Time-Independent Perturbation Theory

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

Geometric Potentials and Pressure

Introduces Banach spaces for geometric potentials and pressure analysis, emphasizing equilibrium states and pressure function analyticity.

Hartree-Fock Equations for N Fermions

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

Quantum Chemistry Fundamentals

Covers the basics of quantum chemistry and the Hartree-Fock method.

Wave Mechanics: Variational Principle

Explores wave mechanics through the variational principle and disordered potentials.

Calculus of Variations: Introduction

Introduces calculus of variations with examples like the Brachistochrone problem in an applied context.

Hartree-Fock Equations for N Fermions

Explores Hartree-Fock equations, variational principles, excited states, and quantum physics concepts.

Variational Principle: Quantum Physics II

Covers the variational principle in quantum physics for approximating energy levels.

Calculus of Variations and Euler's Elastica

Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.

Field Theory: Action Principles

Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.

Calculus of Variations and Euler's Elastica

Explores the calculus of variations and Euler's Elastica in the context of beam equilibrium and inextensible elastic curves under large rotations.