User:Maschen/wave function

(CRUDE) PROVISIONAL RESTRUCTURE of wave function using this version

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 (momentum, wavelength, energy, kinetic energy, curvature) for one spinless particle in 1d

Position and momentum representations

Position and momentum space wavefunctions in 3d, Fourier transforms, introduce Dirac notation here

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

Some examples of wave functions for specific applications include:

• Finite square well
• Delta potential
• Quantum harmonic oscillator
• Hydrogen atom and Hydrogen-like atom

Chemistry

Atomic and molecular orbitals

In particle physics

wave function of quarks, leptons

Ontology

(use what is in current article)

See also

• Boson
• de Broglie–Bohm theory
• Double-slit experiment
• Faraday wave
• Fermion
• Schrödinger equation
• Wave function collapse
• Wave packet
• Phase space formulation of quantum mechanics, wave functions are replaced by quasi-probability distributions that place the position and momenta variables on equal footing.

References

• Atkins, P. W. (1974). Quanta: A Handbook of Concepts. ISBN 0-19-855494-X. {{cite book}}: Invalid |ref=harv (help)
• Arons, A. B.; Peppard, M. B. (1965). "Einstein's proposal of the photon concept: A translation of the Annalen der Physik paper of 1905" (PDF). American Journal of Physics. 33 (5): 367. Bibcode:1965AmJPh..33..367A. doi:10.1119/1.1971542. {{cite journal}}: Invalid |ref=harv (help)
• Bohr, N. (1985). J. Kalckar (ed.). Niels Bohr - Collected Works: Foundations of Quantum Physics I (1926 - 1932). Vol. 6. Amsterdam: North Holland. ISBN 9780444532893. {{cite book}}: Invalid |ref=harv (help)
• Born, M. (1926a). "Zur Quantenmechanik der Stoßvorgange". Z. Phys. 37: 863–867. Bibcode:1926ZPhy...37..863B. doi:10.1007/bf01397477. {{cite journal}}: Invalid |ref=harv (help)
• Born, M. (1926b). "Quantenmechanik der Stoßvorgange". Z. Phys. 38: 803–827. Bibcode:1926ZPhy...38..803B. doi:10.1007/bf01397184. {{cite journal}}: Invalid |ref=harv (help)
• Born, M. (1927). "Physical aspects of quantum mechanics". Nature. 119: 354–357. Bibcode:1927Natur.119..354B. doi:10.1038/119354a0. {{cite journal}}: Invalid |ref=harv (help)
• Born, M. (1954). "The statistical interpretation of quantum mechanics" (PDF). Nobel Lecture. December 11, 1954.
• de Broglie, L. (1923). "Radiations—Ondes et quanta" [Radiation—Waves and quanta]. Comptes Rendus (in French). 177: 507–510, 548, 630. {{cite journal}}: Invalid |ref=harv (help) Online copy (French) Online copy (English)
• de Broglie, L. (1960). Non-linear Wave Mechanics: a Causal Interpretation. Amsterdam: Elsevier. {{cite book}}: Invalid |ref=harv (help)
• Camilleri, K. (2009). Heisenberg and the Interpretation of Quantum Mechanics: the Physicist as Philosopher. Cambridge UK: Cambridge University Press. ISBN 978-0-521-88484-6. {{cite book}}: Invalid |ref=harv (help)

• Byron, F. W.; Fuller, R. W. (1992) [1969]. Mathematics of Classical and Quantum Physics. Dover Books on Physics (revised ed.). Dover Publications. ISBN 978-0-486-67164-2. {{cite book}}: Invalid |ref=harv (help)

• Dirac, P. A. M. (1982). The principles of quantum mechanics. The international series on monographs on physics (4th ed.). Oxford University Press. ISBN 0 19 852011 5. {{cite book}}: Invalid |ref=harv (help)
• Dirac, P. A. M. (1939). "A new notation for quantum mechanics". Mathematical Proceedings of the Cambridge Philosophical Society. 35 (3): 416–418. Bibcode:1939PCPS...35..416D. doi:10.1017/S0305004100021162. {{cite journal}}: Invalid |ref=harv (help)
• Einstein, A. (1905). "Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt". Annalen der Physik (in German). 17 (6): 132–148. Bibcode:1905AnP...322..132E. doi:10.1002/andp.19053220607. {{cite journal}}: Invalid |ref=harv (help)
• Einstein, A. (1916). "Zur Quantentheorie der Strahlung". Mitteilungen der Physikalischen Gesellschaft Zürich. 18: 47–62. {{cite journal}}: Invalid |ref=harv (help)
• Einstein, A. (1917). "Zur Quantentheorie der Strahlung". Physikalische Zeitschrift (in German). 18: 121–128. Bibcode:1917PhyZ...18..121E. {{cite journal}}: Invalid |ref=harv (help)
• Einstein, A. (1998). P. A. Schlipp (ed.). Albert Einstein: Philosopher-Scientist. The Library of Living Philosophers. Vol. VII (3rd ed.). La Salle Publishing Company, Illinois: Open Court. ISBN 0-87548-133-7. {{cite book}}: Invalid |ref=harv (help)
• Eisberg, R.; Resnick, R. (1985). Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles (2nd ed.). John Wiley & Sons. ISBN 978-0-471-87373-0. {{cite book}}: Invalid |ref=harv (help)
• Griffiths, D. J. (2004). Introduction to Quantum Mechanics (2nd ed.). Essex England: Pearson Education Ltd. ISBN 978-0131118928. {{cite book}}: Invalid |ref=harv (help)
• Heisenberg, W. (1958). Physics and Philosophy: the Revolution in Modern Science. New York: Harper & Row. {{cite book}}: Invalid |ref=harv (help)
• Hanle, P.A. (1977), "Erwin Schrodinger's Reaction to Louis de Broglie's Thesis on the Quantum Theory.", Isis, 68 (4), doi:10.1086/351880 {{citation}}: Invalid |ref=harv (help)
• Jaynes, E. T. (2003). G. Larry Bretthorst (ed.). Probability Theory: The Logic of Science. Cambridge University Press. ISBN 978-0-521 59271-0. {{cite book}}: Invalid |ref=harv (help)
• Landau, L.D.; Lifshitz, E. M. (1977). Quantum Mechanics: Non-Relativistic Theory. Vol. Vol. 3 (3rd ed.). Pergamon Press. ISBN 978-0-08-020940-1. {{cite book}}: |volume= has extra text (help); Invalid |ref=harv (help) Online copy
• Lerner, R.G.; Trigg, G.L. (1991). Encyclopaedia of Physics (2nd ed.). VHC Publishers. ISBN 0-89573-752-3. {{cite book}}: Invalid |ref=harv (help)
• Ludwig, G. (1968). Wave Mechanics. Oxford UK: Pergamon Press. ISBN 0-08-203204-1. LCCN 66-30631. {{cite book}}: Invalid |ref=harv (help)
• Murdoch, D. (1987). Niels Bohr's Philosophy of Physics. Cambridge UK: Cambridge University Press. ISBN 0-521-33320-2.
• Newton, R.G. (2002). Quantum Physics: a Text for Graduate Student. New York: Springer. ISBN 0-387-95473-2. {{cite book}}: Invalid |ref=harv (help)
• Pauli, Wolfgang (1927). "Zur Quantenmechanik des magnetischen Elektrons". Zeitschrift für Physik (in German). 43. Bibcode:1927ZPhy...43..601P. doi:10.1007/bf01397326. {{cite journal}}: Invalid |ref=harv (help)
• Peleg, Y.; Pnini, R.; Zaarur, E.; Hecht, E. (2010). Quantum mechanics. Schaum's outlines (2nd ed.). McGraw Hill. ISBN 978-0-07-162358-2. {{cite book}}: Invalid |ref=harv (help)
• Rae, A.I.M. (2008). Quantum Mechanics. Vol. 2 (5th ed.). Taylor & Francis Group. ISBN 1-5848-89705.
• Schrödinger, E. (1926). "An Undulatory Theory of the Mechanics of Atoms and Molecules" (PDF). Physical Review. 28 (6): 1049–1070. Bibcode:1926PhRv...28.1049S. doi:10.1103/PhysRev.28.1049. Archived from the original (PDF) on 17 December 2008. {{cite journal}}: Invalid |ref=harv (help)
• Shankar, R. (1994). Principles of Quantum Mechanics (2nd ed.). ISBN 0306447908. {{cite book}}: Invalid |ref=harv (help)
• Martin, B.R.; Shaw, G. (2008). Particle Physics. Manchester Physics Series (3rd ed.). John Wiley & Sons. ISBN 978-0-470-03294-7. {{cite book}}: Invalid |ref=harv (help)
• ter Haar, D. (1967). The Old Quantum Theory. Pergamon Press. pp. 167–183. LCCN 66029628. {{cite book}}: Invalid |ref=harv (help)
• Tipler, P. A.; Mosca, G.; Freeman (2008). Physics for Scientists and Engineers – with Modern Physics (6th ed.). ISBN 0-7167-8964-7. {{cite book}}: Invalid |ref=harv (help)
• Weinberg, S. (2013), Lectures in Quantum Mechanics, Cambridge University Press, ISBN 978-1-107-02872-2
• Weinberg, S. (2002), The Quantum Theory of Fields, vol. 1, Cambridge University Press, ISBN 0-521-55001-7
• Young, H. D.; Freedman, R. A. (2008). Pearson (ed.). Sears' and Zemansky's University Physics (12th ed.). Addison-Wesley. ISBN 978-0-321-50130-1. {{cite book}}: Invalid |ref=harv (help)
• Wheeler, J.A.; Zurek, W.H. (1983). Quantum Theory and Measurement. Princeton NJ: Princeton University Press. {{cite book}}: Invalid |ref=harv (help)
• Zettili, N. (2009). Quantum Mechanics: Concepts and Applications (2nd ed.). ISBN 978-0-470-02679-3. {{cite book}}: Invalid |ref=harv (help)

Further reading

• Yong-Ki Kim (September 2, 2000). "Practical Atomic Physics" (PDF). National Institute of Standards and Technology. Maryland: 1 (55 pages). Retrieved 2010-08-17.
• Polkinghorne, John (2002). Quantum Theory, A Very Short Introduction. Oxford University Press. ISBN 0-19-280252-6.

External links

• [1], [2], [3], [4]
• [5] Normalization.
• [6] Quantum Mechanics and Quantum Computation at BerkeleyX
• Einstein, The quantum theory of radiation