Lectures related to Quantum Mechanics: Schrödinger Equation

Quantum Mechanics: Probability and Measurement

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

Quantum Mechanics: Wave-Particle Duality of Electrons

Covers the wave-particle duality of electrons and their behavior in quantum mechanics.

Quantum Mechanics: Electron Propagation and Measurement

Covers electron propagation, quantum operators, and the measurement process in quantum mechanics.

Quantum States and Operators

Covers the description of states in quantum mechanics and their relation to probability, expectation values, and the Schrödinger equation.

Quantum Mechanics: Probability in Potential Wells

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

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.

Quantum Uncertainty: Measurement and Probability

Delves into quantum uncertainty in measurements and probabilities, contrasting classical and quantum predictions.

Principles of Quantum Mechanics: Wave-Particle Dualism

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

Quantum Chemistry: Eigenfunctions and Operators

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

Variance and Covariance: Properties and Examples

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

Quantum Measurement: Wave Function Collapse and Operators

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

Continuous Random Variables

Explores continuous random variables, density functions, joint variables, independence, and conditional densities.

Dependence and Correlation

Explores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.

Quantum Measurements

Explores projective quantum measurements, system-meter formulation, observable outcomes, and coupling between systems and meters.

Probability and Statistics: Basics and Applications

Covers fundamental concepts of probability and statistics, focusing on data analysis, graphical representation, and practical applications.

Principles of Quantum Mechanics: Harmonic Oscillator

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

Law of Large Numbers: Strong Convergence

Explores the strong convergence of random variables and the normal distribution approximation in probability and statistics.

Probability and Statistics

Explores joint random variables, conditional density, and independence in probability and statistics.

Elements of Statistics: Probability and Random Variables

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

Quantum Mechanics: Schrödinger Equation

Explores the Schrödinger equation in quantum mechanics, emphasizing conservation of probability and numerical schemes.