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TheBorn rule provides a link between the mathematical formalism of quantum theory and experiment, and as such is almost single-handedly responsible for practically all predictions of quantum physics. In the history of science, on a par with the ► Heisenberg uncertainty relations, the ► Born rule is often seen as a turning point where ► indeterminism entered fundamental physics. For these two reasons, its importance for the practice and philosophy of science cannot be overestimated.
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M. Born: Quantenmechanik der Stoßvorgänge. Z. Phys.38, 803–827 (1926).
P. Dirac: The physical interpretation of the quantum dynamics. Proc. R. Soc. Lond.A113, 621–641 (1926).
A. Einstein & M. Born:Briefwechsel 1916–1955 (Langen Müller, München 2005).
W. Heisenberg:Physics and Philosophy: The Revolution in Modern Science. (Allen & Unwin, London 1958).
P. Jordan: Über quantenmechanische Darstellung von Quantensprügen. Z. Phys.40, 661–666 (1927).
P. Jordan: Über eine neue Begründung der Quantenmechanik. Z. Phys.40, 809–838 (1927).
J. von Neumann:Mathematische Grundlagen der Quantenmechanik (Springer, Berlin 1932). English translation:Mathematical Foundations of Quantum Mechanics (Princeton University Press, Berlin 1955).
W. Pauli: Über Gasentartung und Paramagnetismus. Z. Phys.41, 81–102 (1927).
Secondary Literature
D.J. Baker: Measurement outcomes and probability in Everettian quantum mechanics. Stud. Hist. Philos. Mod. Phys.38, 153–169 (2007).
H. Barnum, C. M. Caves, J. Finkelstein, C. A. Fuchs, R. Schack: Quantum probability from decision theory? Proc. Roy. Soc. Lond.A456, 1175–1182 (2000).
A. Cassinello & J.L. Sanchez-Gomez: On the probabilistic postulate of quantum mechanics. Found. Phys.26, 1357–1374 (1996).
C. Caves & R. Schack: Properties of the frequency operator do not imply the quantum probability postuate. Ann. Phys. (N.Y.)315, 123–146 (2005).
D. Deutsch: Quantum theory of probability and decisions. Proc. R. Soc. Lond.A455, 3129– 3137 (1999).
E. Farhi, J. Goldstone & S. Gutmann: How probability arises in quantum mechanics. Ann. Phys. (N.Y.)192, 368–382 (1989).
T.L. Fine:Theories of Probability (Academic, New York, 1978).
D. Finkelstein: The logic of quantum physics. Trans. N. Y. Acad. Sci.25, 621–637 (1965).
D. Gillies:Philosophical Theories of Probability (Cambridge University Press, Cambridge 2000).
A. Hajek: Interpretations of probability. InThe Stanford Encyclopedia of Philosophy, ed. by Edward N. Zalta,http://www.science.uva.nl/seop/entries/probability-interpret/.
J.B. Hartle: Quantum mechanics of individual systems. Am. J. Phys.36, 704–712 (1968).
J. Mehra & H. Rechenberg:The Historical Development of Quantum Theory. Vol. 6: The Completion of Quantum Mechanics 1926–1941. Part 1: The Probabilistic Interpretation and the Empirical and Mathematical Foundation of Quantum Mechanics, 1926–1936 (Springer, New York 2000).
G.K. Pedersen:Analysis Now (Springer, New York 1989).
J. von Plato:Creating Modern Probability (Cambridge University Press, Cambridge, 1994).
S. Saunders: Derivation of the Born rule from operational assumptions. Proc. R. Soc. Lond.A460, 1771–1788 (2004).
E. Scheibe:The Logical Analysis of Quantum Mechanics (Pergamon Press, Oxford 1973).
M. Schlosshauer & A. Fine: On Zureks derivation of the Born rule. Found. Phys.35, 197–213 (2005).
D. Wallace: Everettian Rationality: defending Deutsch's approach to probability in the Everett interpretation. Stud. Hist. Philos. Mod. Phys.34 (2003), 415–438.
W.H. Zurek: Probabilities from entanglement, Born's rulepk = |Ψk#x01C0;2 from envariance, Phys. Rev.A71, 052105 (2005).
- Nicolaas P. Landsman
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Editors and Affiliations
Department of Physics, The City College of New York, 138th St. & Convent Ave., New York, NY, 10031, USA
Daniel Greenberger
Section for the History of Science & Technology, University of Stuttgart, Keplerstr. 17, Stuttgart, D-70174, Germany
Klaus Hentschel
Department of Social Sciences and Humanities, University of Bradford, Bradford, BD7 1DP, UK
Friedel Weinert
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Landsman, N.P. (2009). Born Rule and its Interpretation. In: Greenberger, D., Hentschel, K., Weinert, F. (eds) Compendium of Quantum Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70626-7_20
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Keywords
- Copenhagen Interpretation
- Born Rule
- Modal Interpretation
- Consistent History
- Heisenberg Uncertainty Relation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.