Lectures related to Path Integrals and Metadynamics

Finite Element Method: Formulation and Approximations

Covers the strong and integral formulations, weak formulation, and approximation of temperatures.

Explains the finite element method's global approach and its application examples.

Explores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Finite Element Method: Formulation and Approach

Explores the strong and weak formulations of the finite element method.

Numerical Groundwater Flow Resolution

Explains the numerical resolution of groundwater flows using finite differences and demonstrates the method with Excel.

Boundary Value Problems: Numerical Methods

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

Quantum Field Theory: Fermions and Grassmann Numbers

Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.

Numerical Flow Simulation: Discretization Methods & Fluid Interfaces

Covers discretization methods and fluid interfaces in numerical flow simulation.

Finite Difference Methods: Heat Equation Discretization

Explains finite difference methods for heat equation discretization, emphasizing stability and precision in numerical solutions.

Path Integral Methods: Convergence and Computational Techniques

Covers path integral methods, focusing on convergence and computational techniques for quantum systems.

Finite Difference Method: Approximating Derivatives and Equations

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Quantum Field Theory: Path Integrals

Explores path integrals in quantum field theory, emphasizing the significance of Wick rotation and the classical case.

Gaussian Path Integrals: Composition Property

Explores wave packet evolution, path integrals, and Gaussian composition properties in quantum mechanics.

Gauge Theories: Chiral Transformations and Path Integrals

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.

Finite Element Method: Construction and Integration

Explores the construction of a 2D finite element model and the treatment of curvilinear integrals.

Two-loop Computations: External Legs and Internal Propagators

Covers the computation of two-loop diagrams with external legs and internal propagators.

Finite Element Method: Global vs Local Approach

Compares the global and local approaches of the Finite Element Method.

Vibrating String: Mathematical Analysis

Covers the study of a vibrating string, wave equations, sinusoidal waves, and eigenvalue problems.

Constructing Correlators with Path Integrals

Explores constructing correlators using path integrals in quantum mechanics, focusing on the Euclidean and Minkowski spaces and the significance of imaginary time evolution.