L17.2 Ground State Energy of Helium (Part 2/4) скачать в хорошем качестве

L17.2 Ground State Energy of Helium (Part 2/4)

#HeliumGroundState #VariationalMethod #Hamiltonian #ExpectationValues #QuantumPhysics 0:00 - Introduction and Overview of the Lecture 0:27 - Handling Complex Integrals in Quantum Mechanics 0:55 - Lecture Notes for Step-by-Step Integral Solutions 1:36 - Electron-Electron Repulsion: Setting Up the Calculation 2:50 - Deriving the Exponential Terms in the Integral 4:02 - Breaking Down and Solving the Integral for R2 6:10 - Applying Spherical Polar Coordinates to Simplify the Problem 7:59 - Volume Element and Integral Simplifications 10:41 - Evaluating the θ and ϕ Integrals 11:58 - Final Simplification Steps and Insights Lecture Notes: https://drive.google.com/file/d/1QWyA... Board Image: https://drive.google.com/file/d/1YCsL... In this advanced quantum mechanics lecture, we tackle the intricate calculations behind electron-electron repulsion in multi-electron atoms. The focus is on deriving and solving complex integrals using spherical polar coordinates, with detailed discussions on exponential terms, volume elements, and simplifying multi-variable integrals. While the complete step-by-step solutions for these integrals are available in the lecture notes, this session emphasizes conceptual understanding and practical approaches to handling lengthier calculations. Perfect for undergraduate and graduate students aiming to deepen their grasp of quantum mechanics. Quantum mechanics lecture Electron-electron repulsion calculation Multi-electron atoms integrals Spherical polar coordinates in quantum mechanics Complex integrals in quantum mechanics Quantum mechanics for undergraduate students Quantum mechanics step-by-step solutions Multi-variable integrals simplification Advanced quantum mechanics tutorial Quantum mechanics lecture notes