Lectures related to Postulates of Quantum Mechanics

Quantum Mechanics: Postulates and Observables

Explains the postulates of quantum mechanics and the representation of observables by operators.

Linear Operators: Basis Transformation and Eigenvalues

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Quantum Mechanics: Spectral Basis and Schrödinger Equation

Explores spectral basis, Schrödinger equation, unitary equivalence, and self-adjoint operators.

Postulates of Quantum Mechanics

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

Quantum Mechanics: Self-adjoint Operators and Quantum Information

Offers a crash course on quantum mechanics, emphasizing self-adjoint operators and quantum information.

Crash Course on Quantum Mechanics

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Importance of commuting observables in Quantum Mechanics

Explores the importance of compatible observables in Quantum Mechanics, leading to identical final states and the concept of a Complete Set of Commuting Observables.

Quantum Mechanics: Crash Course on Quantum Bit Systems

Offers a crash course on quantum bit systems and measurement processes.

Quantum Mechanics: Measurement

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

Postulates of Quantum Mechanics

Introduces the postulates of Quantum Mechanics, focusing on states in a Hilbert space and the role of observables.

Quantum Mechanics Basics

Covers the basics of quantum mechanics, focusing on Hamiltonian operator and Schrödinger equations.

Linear Algebra: Quantum Mechanics

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Compositions and adjoints of unbounded operators

Covers the fundamental concepts of unbounded operators and their adjoints, exploring auto-adjoint and normal operators.

Theory of Bounded Operators on Hilbert Space

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

Unitary Minimal Models: Representation Theory Insights

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Measurement: Quantum State and Observables

Discusses measurement in Quantum Mechanics, focusing on state vectors, observables, eigenvalues, and probabilities.

Crash Course on Quantum Mechanics

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Principles of Quantum Mechanics

Covers the principles of quantum mechanics, including the Measurement Principle and Max Born Rule.

Quantum Mechanics: Schrödinger Equation

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

Scattering Amplitude and Optical Theorem

Covers the introduction of scattering amplitude, optical theorem, and unitary operators in quantum mechanics.