Wave function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Wave function" in English language version.

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de Broglie 1923, pp. 507–510, 548, 630. de Broglie, L. (1923). "Radiations—Ondes et quanta" [Radiation—Waves and quanta]. Comptes Rendus (in French). 177: 507–510, 548, 630. Online copy (French) Online copy (English)

archive.org

The Fourier transform viewed as a unitary operator on the space $L 2$ has eigenvalues $\pm1, \pm i$ . The eigenvectors are "Hermite functions", i.e. Hermite polynomials multiplied by a Gaussian function. See Byron & Fuller (1992) for a description of the Fourier transform as a unitary transformation. For eigenvalues and eigenvalues, refer to Problem 27 Ch. 9. Byron, F. W.; Fuller, R. W. (1992) [First published 1969]. Mathematics of Classical and Quantum Physics. Dover Books on Physics (revised ed.). Dover Publications. ISBN 978-0-486-67164-2 – via Internet Archive.
Born 1926b, translated in Ludwig 1968, pp. 206–225. Also here Archived 2020-12-01 at the Wayback Machine. Born, M. (1926b). "Quantenmechanik der Stoßvorgange". Z. Phys. 38 (11–12): 803–827. Bibcode:1926ZPhy...38..803B. doi:10.1007/bf01397184. S2CID 126244962. Ludwig, G. (1968). Wave Mechanics. Oxford UK: Pergamon Press. ISBN 978-0-08-203204-5. LCCN 66-30631 – via Internet Archive.
Heisenberg 1958, p. 143. Heisenberg, W. (1958). Physics and Philosophy: the Revolution in Modern Science. New York: Harper & Row – via Internet Archive.
Murdoch 1987, p. 43. Murdoch, D. (1987). Niels Bohr's Philosophy of Physics. Cambridge UK: Cambridge University Press. ISBN 978-0-521-33320-7 – via Internet Archive.
de Broglie 1960, p. 48. de Broglie, L. (1960). Non-linear Wave Mechanics: a Causal Interpretation. Amsterdam: Elsevier – via Internet Archive.
Landau & Lifshitz 1977, p. 6. Landau, L.D.; Lifshitz, E. M. (1977). Quantum Mechanics: Non-Relativistic Theory. Vol. 3 (3rd ed.). Pergamon Press. ISBN 978-0-08-020940-1. Online copy
Einstein 1916, pp. 47–62, and a nearly identical version Einstein 1917, pp. 121–128 translated in ter Haar 1967, pp. 167–183. Einstein, A. (1916). "Zur Quantentheorie der Strahlung". Mitteilungen der Physikalischen Gesellschaft Zürich. 18: 47–62. Einstein, A. (1917). "Zur Quantentheorie der Strahlung". Physikalische Zeitschrift (in German). 18: 121–128. Bibcode:1917PhyZ...18..121E. ter Haar, D. (1967). The Old Quantum Theory. Pergamon Press. pp. 167–183. LCCN 66029628 – via Internet Archive.
Weinberg (2002) takes the standpoint that quantum field theory appears the way it does because it is the only way to reconcile quantum mechanics with special relativity. Weinberg, S. (2002), The Quantum Theory of Fields, vol. 1, Cambridge University Press, ISBN 978-0-521-55001-7 – via Internet Archive
Weinberg (2002) See especially chapter 5, where some of these results are derived. Weinberg, S. (2002), The Quantum Theory of Fields, vol. 1, Cambridge University Press, ISBN 978-0-521-55001-7 – via Internet Archive
Weinberg 2002 Chapter 4. Weinberg, S. (2002), The Quantum Theory of Fields, vol. 1, Cambridge University Press, ISBN 978-0-521-55001-7 – via Internet Archive
Landau & Lifshitz 1977. Landau, L.D.; Lifshitz, E. M. (1977). Quantum Mechanics: Non-Relativistic Theory. Vol. 3 (3rd ed.). Pergamon Press. ISBN 978-0-08-020940-1. Online copy
Weinberg 2002 Chapter 3, Scattering matrix. Weinberg, S. (2002), The Quantum Theory of Fields, vol. 1, Cambridge University Press, ISBN 978-0-521-55001-7 – via Internet Archive
Weinberg 2002. Weinberg, S. (2002), The Quantum Theory of Fields, vol. 1, Cambridge University Press, ISBN 978-0-521-55001-7 – via Internet Archive
Weinberg 2002, Chapter 3. Weinberg, S. (2002), The Quantum Theory of Fields, vol. 1, Cambridge University Press, ISBN 978-0-521-55001-7 – via Internet Archive
Eisberg & Resnick 1985. Eisberg, Robert Martin; Resnick, Robert (1985). Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles (2nd ed.). John Wiley & Sons. ISBN 978-0-471-87373-0 – via Internet Archive.

berkeley.edu

inst.eecs.berkeley.edu

C/CS Pys C191:Representations and Wave Functions 》 1. Planck-Einstein Relation E=hv (PDF). EESC Instructional and Electronics Support, University of California, Berkeley. 30 September 2008. p. 1. Retrieved 12 February 2023.

books.google.com

Griffiths 2008, pp. 162ff. Griffiths, David (2008). Introduction to elementary particles. Wiley-VCH. pp. 162ff. ISBN 978-3-527-40601-2.
Greiner & Reinhardt 2008. Greiner, W.; Reinhardt, J. (2008). Quantum Electrodynamics (4th ed.). springer. ISBN 978-354087560-4.
Rae 2008. Rae, A.I.M. (2008). Quantum Mechanics. Vol. 2 (5th ed.). Taylor & Francis Group. ISBN 978-1-5848-89700.

cmu.edu

quantum.phys.cmu.edu

B. Griffiths, Robert. "Hilbert Space Quantum Mechanics" (PDF). p. 1.

davis-inc.com

de Broglie 1923, pp. 507–510, 548, 630. de Broglie, L. (1923). "Radiations—Ondes et quanta" [Radiation—Waves and quanta]. Comptes Rendus (in French). 177: 507–510, 548, 630. Online copy (French) Online copy (English)

doi.org

Born 1926a, translated in Wheeler & Zurek 1983 at pages 52–55. Born, M. (1926a). "Zur Quantenmechanik der Stoßvorgange". Z. Phys. 37 (12): 863–867. Bibcode:1926ZPhy...37..863B. doi:10.1007/bf01397477. S2CID 119896026. Wheeler, J.A.; Zurek, W.H. (1983). Quantum Theory and Measurement. Princeton NJ: Princeton University Press.
Born 1926b, translated in Ludwig 1968, pp. 206–225. Also here Archived 2020-12-01 at the Wayback Machine. Born, M. (1926b). "Quantenmechanik der Stoßvorgange". Z. Phys. 38 (11–12): 803–827. Bibcode:1926ZPhy...38..803B. doi:10.1007/bf01397184. S2CID 126244962. Ludwig, G. (1968). Wave Mechanics. Oxford UK: Pergamon Press. ISBN 978-0-08-203204-5. LCCN 66-30631 – via Internet Archive.
Born 1927, pp. 354–357. Born, M. (1927). "Physical aspects of quantum mechanics". Nature. 119 (2992): 354–357. Bibcode:1927Natur.119..354B. doi:10.1038/119354a0.
Hanle 1977, pp. 606–609. Hanle, P.A. (1977), "Erwin Schrodinger's Reaction to Louis de Broglie's Thesis on the Quantum Theory", Isis, 68 (4): 606–609, doi:10.1086/351880, S2CID 121913205
Schrödinger 1926, pp. 1049–1070. 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.
Pauli 1927, pp. 601–623.. Pauli, Wolfgang (1927). "Zur Quantenmechanik des magnetischen Elektrons". Zeitschrift für Physik (in German). 43 (9–10): 601–623. Bibcode:1927ZPhy...43..601P. doi:10.1007/bf01397326. S2CID 128228729.
Landsman 2009. Landsman, N. P. (2009). "Born Rule and its Interpretation" (PDF). Compendium of Quantum Physics. Berlin, Heidelberg: Springer Berlin Heidelberg. pp. 64–70. doi:10.1007/978-3-540-70626-7_20. ISBN 978-3-540-70622-9.

harvard.edu

ui.adsabs.harvard.edu

Born 1926a, translated in Wheeler & Zurek 1983 at pages 52–55. Born, M. (1926a). "Zur Quantenmechanik der Stoßvorgange". Z. Phys. 37 (12): 863–867. Bibcode:1926ZPhy...37..863B. doi:10.1007/bf01397477. S2CID 119896026. Wheeler, J.A.; Zurek, W.H. (1983). Quantum Theory and Measurement. Princeton NJ: Princeton University Press.
Born 1926b, translated in Ludwig 1968, pp. 206–225. Also here Archived 2020-12-01 at the Wayback Machine. Born, M. (1926b). "Quantenmechanik der Stoßvorgange". Z. Phys. 38 (11–12): 803–827. Bibcode:1926ZPhy...38..803B. doi:10.1007/bf01397184. S2CID 126244962. Ludwig, G. (1968). Wave Mechanics. Oxford UK: Pergamon Press. ISBN 978-0-08-203204-5. LCCN 66-30631 – via Internet Archive.
Born 1927, pp. 354–357. Born, M. (1927). "Physical aspects of quantum mechanics". Nature. 119 (2992): 354–357. Bibcode:1927Natur.119..354B. doi:10.1038/119354a0.
Einstein 1916, pp. 47–62, and a nearly identical version Einstein 1917, pp. 121–128 translated in ter Haar 1967, pp. 167–183. Einstein, A. (1916). "Zur Quantentheorie der Strahlung". Mitteilungen der Physikalischen Gesellschaft Zürich. 18: 47–62. Einstein, A. (1917). "Zur Quantentheorie der Strahlung". Physikalische Zeitschrift (in German). 18: 121–128. Bibcode:1917PhyZ...18..121E. ter Haar, D. (1967). The Old Quantum Theory. Pergamon Press. pp. 167–183. LCCN 66029628 – via Internet Archive.
Schrödinger 1926, pp. 1049–1070. 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.
Pauli 1927, pp. 601–623.. Pauli, Wolfgang (1927). "Zur Quantenmechanik des magnetischen Elektrons". Zeitschrift für Physik (in German). 43 (9–10): 601–623. Bibcode:1927ZPhy...43..601P. doi:10.1007/bf01397326. S2CID 128228729.

iop.org

spark.iop.org

"Planck - A very short biography of Planck". spark.iop.org. Institute of Physics. Retrieved 12 February 2023.

loc.gov

lccn.loc.gov

Born 1926b, translated in Ludwig 1968, pp. 206–225. Also here Archived 2020-12-01 at the Wayback Machine. Born, M. (1926b). "Quantenmechanik der Stoßvorgange". Z. Phys. 38 (11–12): 803–827. Bibcode:1926ZPhy...38..803B. doi:10.1007/bf01397184. S2CID 126244962. Ludwig, G. (1968). Wave Mechanics. Oxford UK: Pergamon Press. ISBN 978-0-08-203204-5. LCCN 66-30631 – via Internet Archive.
Einstein 1916, pp. 47–62, and a nearly identical version Einstein 1917, pp. 121–128 translated in ter Haar 1967, pp. 167–183. Einstein, A. (1916). "Zur Quantentheorie der Strahlung". Mitteilungen der Physikalischen Gesellschaft Zürich. 18: 47–62. Einstein, A. (1917). "Zur Quantentheorie der Strahlung". Physikalische Zeitschrift (in German). 18: 121–128. Bibcode:1917PhyZ...18..121E. ter Haar, D. (1967). The Old Quantum Theory. Pergamon Press. pp. 167–183. LCCN 66029628 – via Internet Archive.

ru.nl

math.ru.nl

Landsman 2009. Landsman, N. P. (2009). "Born Rule and its Interpretation" (PDF). Compendium of Quantum Physics. Berlin, Heidelberg: Springer Berlin Heidelberg. pp. 64–70. doi:10.1007/978-3-540-70626-7_20. ISBN 978-3-540-70622-9.

semanticscholar.org

api.semanticscholar.org

Born 1926a, translated in Wheeler & Zurek 1983 at pages 52–55. Born, M. (1926a). "Zur Quantenmechanik der Stoßvorgange". Z. Phys. 37 (12): 863–867. Bibcode:1926ZPhy...37..863B. doi:10.1007/bf01397477. S2CID 119896026. Wheeler, J.A.; Zurek, W.H. (1983). Quantum Theory and Measurement. Princeton NJ: Princeton University Press.
Born 1926b, translated in Ludwig 1968, pp. 206–225. Also here Archived 2020-12-01 at the Wayback Machine. Born, M. (1926b). "Quantenmechanik der Stoßvorgange". Z. Phys. 38 (11–12): 803–827. Bibcode:1926ZPhy...38..803B. doi:10.1007/bf01397184. S2CID 126244962. Ludwig, G. (1968). Wave Mechanics. Oxford UK: Pergamon Press. ISBN 978-0-08-203204-5. LCCN 66-30631 – via Internet Archive.
Hanle 1977, pp. 606–609. Hanle, P.A. (1977), "Erwin Schrodinger's Reaction to Louis de Broglie's Thesis on the Quantum Theory", Isis, 68 (4): 606–609, doi:10.1086/351880, S2CID 121913205
Pauli 1927, pp. 601–623.. Pauli, Wolfgang (1927). "Zur Quantenmechanik des magnetischen Elektrons". Zeitschrift für Physik (in German). 43 (9–10): 601–623. Bibcode:1927ZPhy...43..601P. doi:10.1007/bf01397326. S2CID 128228729.

tiscali.nl

home.tiscali.nl

Schrödinger 1926, pp. 1049–1070. 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.

tudelft.nl

appquantmech.quantumtinkerer.tudelft.nl

Applications of Quantum Mechanics. "Applications of Quantum Mechanics". Lecture notes for the course AP3303. Department of Quantum Nanoscience studies at TU Delft. 2022.

web.archive.org

Born 1926b, translated in Ludwig 1968, pp. 206–225. Also here Archived 2020-12-01 at the Wayback Machine. Born, M. (1926b). "Quantenmechanik der Stoßvorgange". Z. Phys. 38 (11–12): 803–827. Bibcode:1926ZPhy...38..803B. doi:10.1007/bf01397184. S2CID 126244962. Ludwig, G. (1968). Wave Mechanics. Oxford UK: Pergamon Press. ISBN 978-0-08-203204-5. LCCN 66-30631 – via Internet Archive.
Schrödinger 1926, pp. 1049–1070. 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.

ymambrini.com

Born 1926b, translated in Ludwig 1968, pp. 206–225. Also here Archived 2020-12-01 at the Wayback Machine. Born, M. (1926b). "Quantenmechanik der Stoßvorgange". Z. Phys. 38 (11–12): 803–827. Bibcode:1926ZPhy...38..803B. doi:10.1007/bf01397184. S2CID 126244962. Ludwig, G. (1968). Wave Mechanics. Oxford UK: Pergamon Press. ISBN 978-0-08-203204-5. LCCN 66-30631 – via Internet Archive.