User:Maschen/wave function


 * Crude provisional section ordering of wave function

Status of wavefunctions
History, first introduction of concept, modern interpretations

In the postulates of QM
Some (not all) of the postulates of QM are: Wavefunction contains all information about system, governed by the SE, wavefunction collapse

Interpretations
probability interpretation

mention others, hint a forward reference to the field theoretical formulation

Wave particle duality
Intuitive heuristics about the De Broglie relations and wave profile

Position and momentum representations
Position and momentum space wavefunctions, Fourier transforms

Spin
spin s particle in 3d, 2s+1 complex numbers, or a 2s+1 column vector, wavefunctions as spinors or tensors for particles, occurrence in relativistic QM and QFT

Many particle systems
symmetry (bosons), antisymmetry (fermions), nonsymmetry (distinguishable), The Pauli principle, implications from them

Field operators in quantum field theory
brief discussion of advantages of field operators, point to QFT articles

non relativistic then relativistic field theory

Examples
SUMMARIZE

Prototypical examples in physics
Potential well, harmonic oscillator, hydrogen atom

Chemistry
Atomic and molecular orbitals

In particle physics
wave function of quarks, leptons

Ontology
(use what is in current article)