L17.1 Ground State Energy of Helium (Part 1/4) скачать в хорошем качестве

L17.1 Ground State Energy of Helium (Part 1/4)

#HeliumAtom #VariationalPrinciple #GroundStateEnergy 0:00 - Introduction to Variational Principle 0:10 - Why Solve Systems Using Variational Principle? 1:00 - Applications of Variational Principle: Harmonic Oscillator 1:20 - Delta Function and Ground State Energy Estimation 1:40 - Infinite Square Well and Step Potential Analysis 2:00 - Complex Systems: Helium Atom Energy Approximation 2:30 - Helium Ground State Energy: Experimental Values 3:10 - Hydrogen Atom Wave Function and Helium Approximation 4:00 - Simplifying the Hamiltonian for Helium Atom 5:30 - Ignoring Electron Repulsion Term for Simplicity Lecture Notes: https://drive.google.com/file/d/1QWyA... Board Image: https://drive.google.com/file/d/1YCsL... In this lecture on Quantum Mechanics, we delve into the variational principle and its application in estimating the ground state energy of complex systems like the helium atom. Starting with a review of previous applications, including the harmonic oscillator and delta function potential, we proceed to approximate the ground state energy of helium using hydrogen wave functions. The session includes a detailed breakdown of the Hamiltonian, simplifications for initial calculations, and the impact of electron repulsion. This lecture is essential for understanding advanced quantum mechanics concepts and practical applications of the variational principle. Variational principle quantum mechanics Helium atom ground state energy calculation Quantum mechanics lecture series Applications of variational principle Ground state energy estimation methods Schrodinger wave equation solutions Quantum harmonic oscillator energy Infinite square well quantum mechanics Hydrogen wave function in helium approximation Quantum mechanics for advanced students