QM Lecture 11

CHAPTER - 11  SOLVING The SCHRODINGER EQUATION  

                                  One-dimension case  
                                          The Schrodinger Equation (Non Relativistic)

                                                          Born’s interpretation of the wavefunction,  normalization condition for the wavefunction

                                          Case: Time independent potential  V = V (x)

                                                          Graphical analysis: Energy quantization 

                                                          Analytical solution: The linear harmonic oscillator

                                Three-dimension case  
                                          Case: Potential depends only on the relative position of the particles

                                                           Decoupling the Center of Mass motion and the Relative Motion
                                          Central Potentials
                                                          The angular equation, the Legendre Eq.
                                                          The radial equation, using the Coulomb Potential
                                                          Radial wavefunctions of the bound states (E’ < 0 )