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Quantum Chemistry Revisited Powerpoint Templates.

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Presentation on theme: "Quantum Chemistry Revisited Powerpoint Templates."— Presentation transcript:

1 Quantum Chemistry Revisited Powerpoint Templates

2 Wave Equation Non Relativistic Limit Possible solution: Plane waves

3

4 Time Independent Schrödinger Equation

5 Time dependent Schrödinger Equation

6 Lousy relativistic equation
2nd derivative in space 1st derivative in time Many fathers equation (Klein, Fock, Schrödinger, de Broglie, ...) Klein-Gordon Equation (1926)

7 (E – V)2 = p2c2 + m2c4 Free Electron (V = 0)

8 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)

9 a = b = 1 ab + ba = 0

10 3 dimensions and time

11 Dirac Equation 2 positive solutions 2 negative solutions Matter / Antimatter Spin ± ½

12 Pauli Matrices

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16 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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