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

Wave functions in nonrelativistic QM

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

Beyond nonrelativistic QM

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)

References