Atomic Units - Non-relativistic Quantum Mechanics in Atomic Units

Non-relativistic Quantum Mechanics in Atomic Units

The Schrödinger equation for an electron in SI units is

.

The same equation in au is

.

For the special case of the electron around a hydrogen atom, the Hamiltonian in SI units is:

,

while atomic units transform the preceding equation into

.

Read more about this topic:  Atomic Units

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