Uncertainty Principle

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Nonlocal Games

Explores nonlocal games using quantum mechanics to achieve unexplainable correlations.

Quantum Operators: Exponential and Position Measurement

Covers the mathematical foundations of quantum mechanics, focusing on operators and their applications in quantum states.

Diagonalization of Matrices: Theory and Examples

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

Quantum Field Theory: Introduction

Introduces Quantum Field Theory as the way to reconcile Quantum Mechanics with Relativity, emphasizing the need for a local field due to the impossibility of instantaneous interactions at a distance.

Eigenvalues and Fibonacci Sequence

Covers eigenvalues, eigenvectors, and the Fibonacci sequence, exploring their mathematical properties and practical applications.

Particle Energy in Confined Well

Explains the calculation of particle energy in a confined well.

Matrix Diagonalization: Spectral Theorem

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Eigenvalues and Eigenvectors

Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.

Spin Angular Momentum

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

Calcul de valeurs propres

Covers the calculation of eigenvalues and eigenvectors, emphasizing their significance and applications.