- Crude provisional section ordering of wave function
Status of wavefunctions
editHistory, first introduction of concept, modern interpretations
In the postulates of QM
editSome (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
editInterpretations
editprobability interpretation
mention others, hint a forward reference to the field theoretical formulation
Wave particle duality
editIntuitive heuristics about the De Broglie relations and wave profile
Position and momentum representations
editPosition and momentum space wavefunctions, Fourier transforms
Spin
editspin 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
editMany particle systems
editsymmetry (bosons), antisymmetry (fermions), nonsymmetry (distinguishable), The Pauli principle, implications from them
Beyond nonrelativistic QM
editRelativistic quantum mechanics
editField operators in quantum field theory
editbrief discussion of advantages of field operators, point to QFT articles
non relativistic then relativistic field theory
Examples
editSUMMARIZE
Prototypical examples in physics
editPotential well, harmonic oscillator, hydrogen atom
Chemistry
editAtomic and molecular orbitals
In particle physics
editwave function of quarks, leptons
In nuclear physics
editIn condensed matter physics
editOntology
edit(use what is in current article)