Lect25_AngMom1 - Lecture 25: Introduction to the Quantum...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lecture 25: Introduction to the Quantum Theory of Angular Momentum Phy851 Fall 2009 Goals 1. Understand how to use different coordinate systems in QM (cartesian, spherical,) 2. Derive the quantum mechanical properties of Angular Momentum Use an algebraic approach similar to what we did for the Harmonic Oscillator 3. Use the resulting theory to treat spherically symmetric problems in three dimensions Calculating the Hydrogen atom energy levels will be our target goal Motion In 3Dimensions For a particle moving in three dimensions, there is a distinct quantum state for every point in space. Thus each position state is now labeled by a vector Vector operators are really three operators Coordinate system not unique: For example, we could use spherical coordinates R X v r x r z y x e Z e Y e X R r r r r + + = Z Y X , , Scalar Operators Ordinary Vectors z y x e e e r r r , , ) , ( = r e R R r r , , R Scalar Operators z y x r e e e e r r r r...
View Full Document

This note was uploaded on 12/02/2010 for the course PHYSICS 851 taught by Professor M.moore during the Fall '09 term at Michigan State University.

Page1 / 8

Lect25_AngMom1 - Lecture 25: Introduction to the Quantum...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online