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Quantum Chemistry Revisited. Powerpoint Templates. Wave Equation. Non Relativistic Limit. Possible solution: Plane waves. Time Independent Schrödinger Equation. Time dependent Schrödinger Equation. Lousy relativistic equation. 2 nd derivative in space 1 st derivative in time.

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## Powerpoint Templates

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**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.

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