C Nave @ gsu.edu
     http://hyperphysics.phy-astr.gsu.edu/hbase/quacon.html#quacon
                           
                                    Outline
        •  Postulates of QM
        •  Picking Information Out of Wavefunctions
            – Expectation Values
            – Eigenfunctions & Eigenvalues
        •  Where do we get wavefunctions from?
            – Non-Relativistic
            – Relativistic
        •  What good-looking s look like
        •  Techniques for solving the Schro Eqn
            – Analytically
            – Numerically
            – Creation-Annihilation Ops
                                            
           Postulates of Quantum Mechanics
        •  The state of a physical system is completely described by a 
           wavefunction .
        •  All information is contained in the wavefunction 
        •  Probabilities are determined by the overlap of 
           wavefunctions
                                     |  2
                                           a      b
                                            
                      Postulates of QM
   •  Every measurable physical quantity has a corresponding operator.
   •  The results of any individ measurement yields one of the 
      eigenvalues n      of the corresponding operator.
   •  Given a Hermetian Op with eigenvalues   and eigenvectors   ,
                                                 n                     n
                   the probability of measuring the eigenvalue   is 
                                                                 n
                      *  d3r   2    or        2
                     n                         n
                                        
                         Postulates of QM
        •  If measurement of an observable gives a result n , then  
                     immediately afterward the system is in state   .
                                                                         n
        •  The time evolution of a system is given by
                            i d   H 
        •  .                     dt
                                                   corresponds to 
                                                classical Hamiltonian