Quantum Chemistry Revisited Powerpoint Templates
Wave Equation Non Relativistic Limit Possible solution: Plane waves
Lousy relativistic equation 2nd derivative in space 1st derivative in time Many fathers equation (Klein, Fock, Schrödinger, de Broglie, ...) Klein-Gordon Equation (1926)
(E – V)2 = p2c2 + m2c4 Free Electron (V = 0)
Klein-Gordon Equations Eigen values for E2 ± E solutions Matter Antimatter Carl Anderson discovers the positron in 1932 KG works well for bosons (integer spin particles)
a = b = 1 ab + ba = 0
Dirac Equation 2 positive solutions 2 negative solutions Matter / Antimatter Spin ± ½
There cant be flow in pure real and pure imaginary wave functions. • In stationary states the flow is either zero or constant. • div D = ρ implies that stationary states create static electric fields. • rot H = J + D/t implies that stationary states with J≠0 create static magnetic fields. • Static magnetic fields induce currents J which create induced magnetic fields. • Time dependent magnetic fields induce time dependent electric fields (rot E = - B/t), which means time dependent charge densities to which correspond non stationary states.