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

Famous quotes containing the words quantum, mechanics, atomic and/or units:

    The receipt to make a speaker, and an applauded one too, is short and easy.—Take of common sense quantum sufficit, add a little application to the rules and orders of the House, throw obvious thoughts in a new light, and make up the whole with a large quantity of purity, correctness, and elegancy of style.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)

    It is only the impossible that is possible for God. He has given over the possible to the mechanics of matter and the autonomy of his creatures.
    Simone Weil (1909–1943)

    It is now time to stop and to ask ourselves the question which my last commanding officer, Admiral Hyman Rickover, asked me and every other young naval officer who serves or has served in an atomic submarine. For our Nation M for all of us M that question is, “Why not the best?”
    Jimmy Carter (James Earl Carter, Jr.)

    Even in harmonious families there is this double life: the group life, which is the one we can observe in our neighbour’s household, and, underneath, another—secret and passionate and intense—which is the real life that stamps the faces and gives character to the voices of our friends. Always in his mind each member of these social units is escaping, running away, trying to break the net which circumstances and his own affections have woven about him.
    Willa Cather (1873–1947)