Hamilton-operator

Hamiltonoperatoren er en kvantemekanisk operator H, der beskriver energien af et system og opfylder Schrödingerligningen , hvor E er energien. Hamiltonoperatoren er defineret ved , hvor ħ er den reducerede Planckkonstant , m er massen, Δ er Laplace-operatoren og V er potentialet.[1]

Ved at udnytte at impulsoperatoren er er -iħ∇, og at den kinetiske energi er , kan Hamiltonoperatoren omskrives som .

Kilder

  1. ^ Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles (2nd Edition), R. Resnick, R. Eisberg, John Wiley & Sons, 1985, ISBN 978-0-471-87373-0
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