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BASIS of QUANTUM MECHANICS

If you still need help on waves - go to Prof. Hanan Schecter's notes
There are nice explanations of group velocity and phase velocity in hebrew here.

Uncertainty Principle

Material to print for the operator week (week starting 20/11)
includes a jpg about operators and summaries of the infinite well
and
example
and
finite case.
#### The order in which we study the Schroeginger equation is
- Remove the time-dependence and create the time-independent
Schroedinger equation.
- Study the solution in an infinite one-dimensional square box or well.
- Study the solution in a finite one-dimensional square box or well.
- Study the solution in an infinite three-dimensional box,
first separating the equations into three variables.
We will learn about degeneracy.
- Study the solution for a parabolic well -
this is a quantum harmonic oscillator.
- Study what happens when there is a step, or barrier - the
tunneling effect and its applications.
- Then we move to spherical coordinates and study the solution for the
hydrogen atom.

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For this section we will view ``The Schroedinger Movie'' (with music)
and look at fortran or matlab routines to do the calculations. If you have matlab on a laptop it would be good to bring it to class, with the routine
sdemo.m on it.

Schroedinger Equation in One Dimension

Particle in a Square Well

Example
Particle in a Box, Degeneracy

Harmonic Oscillator In 2011/12 we are doing this after the 3d infinite box.
Slide about degeneracy in the Harmonic Oscillator.

Special slide for class only - selection rules
Operators and Measurements

Tunneling under a Potential Barrier

Definition of sinh

Scanning Tunneling Microscope and Visualization of AFM image
by Atomistic Simulation Visualization software

More examples

STUDENTS in SPRING WINTER 2011/12 do not need to look at the links to material
on this page below this line
Different versions for other semesters:

Operators and Measurements - other years

Particle in a Box, Degeneracy for winter 2000/2001

Tunneling under a Potential Barrier full version

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Table of Contents

PHYSICS 3- HOMEPAGE