Quantum harmonic oscillator via ladder operators

A solution to the quantum harmonic oscillator time independent Schrodinger equation by cleverness, factoring the Hamiltonian, introduction of ladder operators, expression of the commutator, basic operator algebra, demonstration of the effect of the ladder operators on a hypothetical stationary state, and the resulting algebraic structure of the solutions.  (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics.  The Full playlist is at http://www.youtube.com/playlist?list=...)

• #education
• #griffiths
• #quantum
• #carthage
• #brant_carlson
• #introduction
• #quantum_mechanics
• #harmonic_oscillator
• #ladder_operators
• #operator
• #algebra
• #commutator
• #dirac