Bohr Model of the Hydrogen Atom

Postulates• Certain orbits are stationary.• Photon emission occurs upon orbital trans.• Angular momentum is quantized.

Matter Waves

Louis de Broglie (1892 – 1987)

l = h/p

Constructive Interference Destructive Interference(Standing Wave) Hydrogen Atom

Towards a Wave EquationClassical Wave Propagation

Hamiltonian Mechanics

William Hamilton(1805 – 1865)

H = T + V

Now What?

Erwin Schrodinger (1887 – 1961)

The wave function contains all possibleinformation about a system, so instead of speaking of “the state described by thewave function Y,” we simply say “thestate Y.”

Quantum Chemistry by Ira N. Levine

What is the Wave Function?

Max Born (1882 – 1970)

Quantum mechanics does not say that an electron isdistributed over a large region of space as a wave isdistributed. Rather, it is the probability patterns(wave functions) used to describe the electron’smotion that behave like waves and satisfy a waveequation.

Quantum Chemistry by Ira N. Levine