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Quantum Mechanics: Path Integral Representation
Covers the path integral representation in quantum mechanics and the dynamics of systems described by Lagrangian.
Quantum Physics II: Time-Independent Perturbation Theory
Explores time-independent perturbations in quantum physics, covering variational principle and Fourier series.
Euler-Lagrange Equations
Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
Principle of Least Action
Explores the principle of least action in mathematics and its application to functional branches.
Quantum Mechanics Basics
Covers the basics of quantum mechanics, focusing on solving the non relativistic Schrodinger equation.
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.
Hamilton's Formalism: Equations and Transformations
Explores Hamilton's formalism, canonical equations, and Poisson brackets in classical and quantum mechanics.
Classical Field Theory: Lagrangian and Hamiltonian Formulation
Explores classical field theory, focusing on Lagrangian formulation and the Euler-Lagrange equations, emphasizing the property of locality in spacetime.
Wave Mechanics: Variational Principle
Explores wave mechanics through the variational principle and disordered potentials.