Quantum Mechanics: Principles and Operators

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Principles of Quantum Mechanics

Explores the principles of quantum mechanics, including discrete light properties and wave-particle dualism.

Probability Theory: Random Variables and Distributions

Introduces probability theory, random variables, and distributions, with a focus on their applications in atomic diffusion.

Variance and Covariance: Properties and Examples

Explores variance, covariance, and practical applications in statistics and probability.

Quantum Mechanics: Linear Algebra and Wave Mechanics

Explores the link between linear algebra and wave mechanics, focusing on operators, self-adjoint nature, Brillouin Zone, and a probabilistic approach to diffusion.

Stochastic Processes: Review and Properties

Covers the review of random variables, probability density functions, variance, and Gaussian processes.

Quantum Mechanics and Machine Learning

Explores quantum mechanics, many-body systems, machine learning, and variational methods for efficient quantum property estimation.

Quantum General Physics: Wave Function and Schrödinger Equation

Explores the wave function, Schrödinger equation, classical-quantum mechanics relationship, and eigenvalue problem in quantum physics.

Quantum Mechanics: Probability in Potential Wells

Delves into quantum mechanics, focusing on probability in potential wells and comparing classical and quantum predictions.

Quantum Mechanics: Probability and Measurement

Explores probability in Quantum Mechanics, focusing on measurement outcomes and the role of consciousness in determining perceptions.

Quantum Measurement: Wave Function Collapse and Operators

Covers quantum measurement principles, wave function collapse, and the role of operators in quantum mechanics.