Everything Science Forum

Some Fundamentals of Quantum Mechanics -
a series of lectures given by  Richard Fitzpatick
THE UNIVERSITY OF TEXAS AT AUSTIN
Fall 1995

http://farside.ph.utexas.edu/teaching/qm/fundamental/fundamental.html

1. Associated with any particle moving in a conservative field of force is a wave function which determines everything that can be known about the system.

2. With every physical observable q there is associated an operator Q, which when operating upon the wavefunction associated with a definite value of that observable will yield that value times the wavefunction. 

3. Any operator Q associated with a physically measurable property q will be Hermitian. 

4. The set of eigenfunctions of operator Q will form a complete set of linearly independent functions. 

5. For a system described by a given wavefunction, the expectation value of any property q can be found by performing the expectation value integral with respect to that wavefunction. 

6. The time evolution of the wavefunction is given by the time dependent Schrodinger equation. 

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/qm.html
http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/qmoper.html

which then gets one to

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/schrcn.html#c1

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/schr.html

This should help one ease into quantum and wave mechanics.

 :koala

History of quantum mechanics -

http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/The_Quantum_age_begins.html

It's interesting to see the development of the mathematics in parallel with the physics.

Something else from hyperphysics - spin - http://hyperphysics.phy-astr.gsu.edu/hbase/spin.html