What is an Operator in Quantum Mechanics - Observables and Eigenvalue Equation

This video lecture explores the fundamental concepts of operators in Quantum Mechanics, explaining what they represent and how they function. Dive into the mathematical framework of quantum theory by understanding observables as measurable physical properties and their relationship to operators. Learn about the eigenvalue equation, which connects quantum states (eigenstates) to their measurement outcomes (eigenvalues). The 29-minute lecture covers specific operators including linear momentum, spin angular momentum, and the Hamiltonian operator, with dedicated sections for problem-solving applications. The comprehensive presentation progresses from basic definitions to practical examples, making complex quantum mechanical concepts accessible for physics students.