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
=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)