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Dimensionless coordinates

Dimensionless coordinates - dimensionless coordinates(7.7...

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Dimensionless coordinates The classical energy (Hamiltonian) is (7.4) The quantum Hamiltonian operator is thus (7.5) And we thus have to solve Schrödinger's equation (7.6) In order to treat this equation it is better to remove all the physical constants, and go over to
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Unformatted text preview: dimensionless coordinates (7.7) What is the dimension of ? and of ? (The dimension of is .) When we substitute these new variables into the Schrödinger equation we get, using (7.8) that ( ) (7.9) Cancelling the common factor we find (7.10)...
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