L33.2 Eigenvalues and eigenfunctions of the angular momentum operator скачать в хорошем качестве

L33.2 Eigenvalues and eigenfunctions of the angular momentum operator

#eigenfunctionsofangularmomentumoperator #quantummechanicslectures #griffithslectures 00:00 - Introduction to Angular Momentum Components 00:30 - Derivation of Lx, Ly, and Lz Components 01:00 - Expression for the Lz Component 02:00 - Derivation of Raising and Lowering Operators 03:30 - Compact Form of L Plus and L Minus 05:00 - Simplifying L Plus and L Minus Expression 06:30 - Continuing the Simplification of Operators 08:00 - Applying L^2 on Eigenfunctions 10:00 - Final Angular Momentum Equation 14:00 - Conclusion of Angular Momentum Discussion Lecture Notes: https://drive.google.com/file/d/1j6D6... In this detailed quantum mechanics lecture, we explore the concept of angular momentum and its importance in quantum systems. We discuss the eigenvalue equations for the angular momentum operator L2 and how it relates to the magnetic quantum number ml. The lecture covers both orbital angular momentum and half-integer angular momentum, particularly focusing on spin. We derive the eigenfunctions associated with angular momentum operators, introduce the Schrödinger equation in the presence of angular momentum, and explore the commutation relations for spin operators. This lecture is perfect for students and enthusiasts looking to deepen their understanding of quantum mechanics, particularly in the context of angular momentum and quantum states. Quantum Mechanics, Angular Momentum, Orbital Angular Momentum, Half-Integer Angular Momentum, Spin Operators, Schrödinger Equation, Quantum States, Eigenfunctions, Eigenvalues, Magnetic Quantum Number, Spin Quantum Number, Quantum Mechanics Lecture, Angular Momentum Quantum Number, Quantum Physics Explained, Schrödinger Equation with Angular Momentum