Lectures related to Quantum Mechanics: Principles and Operators

Principles of Quantum Mechanics: Wave-Particle Dualism

Explores the wave-particle dualism in quantum mechanics and the quantification of energy levels in atoms.

Explores quantum mechanics, emphasizing the harmonic oscillator and particle confinement in a box.

Principles of Quantum Mechanics: Harmonic Oscillator

Explains quantum mechanics principles, focusing on harmonic oscillators and probability distributions.

Explores wave functions, electron density, quantum mechanics principles, operators, Schrödinger's equation, and key quantum terminologies.

Advanced Probability: Summary

Covers random variables, sample spaces, probability distributions, functions, expected value, variance, and estimations.

Elements of Statistics: Probability and Random Variables

Introduces key concepts in probability and random variables, covering statistics, distributions, and covariance.

Advanced Probabilities: Random Variables & Expected Values

Explores advanced probabilities, random variables, and expected values, with practical examples and quizzes to reinforce learning.

Quantum Chemistry: Eigenfunctions and Operators

Explores eigenfunctions and operators in quantum chemistry, emphasizing their significance in understanding bound states.

Conditional Density and Expectation

Covers conditional density, independence of random variables, expectation, and variance calculation.

Statistical Thermodynamics: Density of States

Explores density of states in statistical thermodynamics and the use of Heaviside functions for energy level probabilities.

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.