Variational Method in Relativistic Quantum Field Theory

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Explores the emergence of superconductivity in nonequilibrium setups and the detection of superconductivity through pump-probe experiments.

Lightcone Conformal Truncation and S-matrix Bootstrap

Delves into lightcone conformal truncation and the S-matrix bootstrap method for quantum field theory computations.

Quantum Mechanics Evolution

Explains the representation for evolution in quantum mechanics and the application of path integrals.

Optimization with Constraints: KKT Conditions

Covers optimization with constraints using KKT conditions and matrix invertibility in numerical analysis.

Asymptotic States and S-matrix

Covers the concept of asymptotic states and S-matrix in quantum field theory, focusing on the evolution of wave packets and the scattering states.

Machine Learning for Many-Body Quantum Systems

Explores machine learning for many-body quantum systems, including variational Monte Carlo methods and neural networks.

Cholesky Factorization: Theory and Algorithm

Explores the Cholesky factorization method for symmetric positive definite matrices.

Numerical Methods: Exercises

Covers exercises related to numerical methods, focusing on computational algorithms and problem-solving strategies.

Finite Elements: Elasticity and Variational Formulation

Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.

Direct Methods for Linear Systems of Equations

Explores direct methods for solving linear systems of equations, including Gauss elimination and LU decomposition.