- 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
Other observables
Many particle systems
symmetry (bosons), antisymmetry (fermions), nonsymmetry (distinguishable), The Pauli principle, implications from them
Beyond nonrelativistic QM
Relativistic quantum mechanics
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
In nuclear physics
In condensed matter physics
Ontology
(use what is in current article)