Skip to main content

Memories of Old Times: Schlick and Reichenbach on Time in Quantum Mechanics

  • Chapter
  • First Online:
Time in Quantum Mechanics - Vol. 2

Part of the book series: Lecture Notes in Physics ((LNP,volume 789))

Abstract

Space and time are the basic entities in physics; they provide the framework for any description of natural processes. As such, both have been throughout history the subject of many philosophical and scientific analyses (remember Newton’s reflections and use of absolute space and time). The 20th century was specially fruitful in this regard. It could hardly have been otherwise, in as much as the first physics revolution that took place then – special (1905) and general relativity (1915) – was deeply dependent on the concepts of space and time. The fact that relativity appeared on the physics scenario before quantum mechanics and that space and time played such an important role in it meant that during most of the century the great majority of philosophical analyses of both concepts were based on Einstein’s theory, while much less attention was dedicated to the implications that quantum physics had on them.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Y. Aharonov, D. Bohm, Phys. Rev. 122, 1649 (1961)

    Article  ADS  MathSciNet  Google Scholar 

  2. Y. Aharonov, D. Bohm, Phys. Rev. 134, B1417 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  3. Y. Aharonov, A. Petersen, in Quantum Theory and Beyond, T. Bastin (ed.) (Cambridge University Press, Cambridge, 1971), p. 135

    Google Scholar 

  4. T. Bastin (ed.), Quantum Theory and Beyond (Cambridge University Press, Cambridge, 1971)

    Google Scholar 

  5. D.I. Blokhintsev, Osnovy Kvantoloi Mekhaniki (Moscú, 1963)

    Google Scholar 

  6. D.I. Blokhintsev, Quantum Mechanics (Reidel, Dordrecht, 1964), English translation of Osnovy Kvantoloi Mekhaniki

    Google Scholar 

  7. N. Bohr, Phys. Rev. 48, 696 (1935)

    Article  ADS  Google Scholar 

  8. N. Bohr, L. Rosenfeld, Mathematisk-fysiske Meddeleser XII, 8 (1933), English version in Selected Papers of Léon Rosenfeld, R.S. Cohen, J. Stachel (eds.) (Reidel, Dordrecht, 1979), p. 357

    Google Scholar 

  9. R. Carnap, in The Philosophy of Rudolf Carnap, P.A. Schilpp (ed.) (Open Court, La Salle Illinois, 1963), p. 3

    Google Scholar 

  10. E. Cassirer, Substance and Function & Einstein’s Theory of Relativity (Dover, New York, 1953)

    MATH  Google Scholar 

  11. R.S. Cohen, J. Stachel (eds.), Selected Papers of Léon Rosenfeld (Reidel, Dordrecht, 1979)

    Google Scholar 

  12. P.A.M. Dirac, Proc. Roy. Soc. (London) A 110, 561 (1926)

    Article  ADS  Google Scholar 

  13. P.A.M. Dirac, The Principles of Quantum Mechanics, 2nd edn (Clarendon Press, Oxford, 1935)

    MATH  Google Scholar 

  14. A. Einstein, in Albert Einstein: Philosopher-Scientist, P.A. Schilpp (ed.) (Open Court, La Salle, IL, 1949), p. 3

    Google Scholar 

  15. R.P. Feynman, Phys. Rev. 74, 1430 (1948)

    Article  ADS  MathSciNet  Google Scholar 

  16. R.P. Feynman, Phys. Rev. 76, 749 (1949)

    Article  ADS  MathSciNet  Google Scholar 

  17. R. Flood, M. Lockwood (eds.), The Nature of Time (Basil Blackwell, Oxford, 1986)

    Google Scholar 

  18. V. Fock, Zhurnal Eksperimental’noi i Teoretischeskoi Fiziki 42, 1135 (1962)

    Google Scholar 

  19. I. Fujiwara, Prog. Theor. Phys. 44, 1701 (1970)

    Article  ADS  Google Scholar 

  20. T. Gold (ed.), The Nature of Time (Cornell University Press, Ithaca, 1967)

    MATH  Google Scholar 

  21. W. Heisenberg, Zeitschrift für Physik 43, 172 (1927)

    Article  ADS  Google Scholar 

  22. W. Heisenberg, Die physikalischen Prinzipien der Quantentheorie (S. Hirzel, Leipzig, 1930)

    MATH  Google Scholar 

  23. W. Heisenberg, The Physical Principles of the Quantum Theory (Dover, New York, 1930), English translation of Die physikalischen Prinzipien der Quantentheorie

    MATH  Google Scholar 

  24. A. Hentschel, transl., The Collected Papers of Albert Einstein, vol. 9 (The Berlin Years: Correspondence, January 1919–April 1920) (Princeton University Press, Princeton, 2004)

    Google Scholar 

  25. A. Hentschel, transl., The Collected Papers of Albert Einstein, vol. 10 (The Berlin Years: Correspondence, May–December 1920, and Supplementary Correspondence, 1909–1920) (Princeton University Press, Princeton, 2006)

    Google Scholar 

  26. D. Kormos Buchwald, R. Schulmann, J. Illy, D.J. Kennefick, T. Sauer (eds.), The Collected Papers of Albert Einstein, vol. 9 (The Berlin Years: Correspondence, January 1919–April 1920) (Princeton University Press, Princeton, 2004)

    Google Scholar 

  27. D. Kormos Buchwald, T. Sauer, Z. Rosenkranz, J. Illy, V.I. Holmes (eds.), The Collected Papers of Albert Einstein, vol. 10 (The Berlin Years: Correspondence, May–December 1920, and Supplementary Correspondence, 1919–1920) (Princeton University Press, Princeton, 2006)

    Google Scholar 

  28. L. Landau, E. Lifschitz, Quantum Mechanics (Non-Relativistic Theory), 3rd edn (Butterworth-Heinemann, Oxford, 1977)

    Google Scholar 

  29. L. Landau, R. Peierls, Zeitschrift für Physik 69, 56 (1931)

    Article  ADS  Google Scholar 

  30. L. Landau, R. Peierls, English translation of Zeitschrift für Physik, included in Quantum Theory and Measurement (Princeton University Press, Princeton, 1983), p. 465

    Google Scholar 

  31. L. Mandel’shtam, I.E. Tamm, Izvestiya Akademii nauk SSSR Seriya fizicheskaya 9, 122 (1945), English translation: J. Phys. URSS 9, 249

    Google Scholar 

  32. H. Mehlberg, Phil. Rev. 71, 99 (1962), reprinted in Time, Causality, and the Quantum Theory, vol. II (Time in a Quantized Universe) (Reidel, Dordrecht, 1980), p. 203

    Article  Google Scholar 

  33. H. Mehlberg, Time, Causality, and the Quantum Theory, vol. II (Time in a Quantized Universe) (Reidel, Dordrecht, 1980)

    Google Scholar 

  34. H. Mulder, B.F.B. van de Velde-Schlick (eds.), Moritz Schlick: Philosophical Papers (1909–1922), vol. I (Reidel, Dordrecht, 1979)

    Google Scholar 

  35. H. Mulder, B.F.B. van de Velde-Schlick (eds.), Moritz Schlick: Philosophical Papers (1925–1936), vol. II (Reidel, Dordrecht, 1979)

    Google Scholar 

  36. H. Reichenbach, Philosophie der Raum-Zeit-Lehre (Walter de Gruyter, Berlin, 1928)

    Book  MATH  Google Scholar 

  37. H. Reichenbach, Philosophical Foundations of Quantum Mechanics (University of California Press, Berkeley, 1944)

    Google Scholar 

  38. H. Reichenbach, Annales de l’Institut Henri Poincaré 13, part 2, 109 (1952/1953), English translation in Moritz Schlick: Philosophical Papers (1925–1936), vol. II, H. Mulder, B.F.B. van de Velde-Schlick (eds.) (Reidel, Dordrecht, 1979), p. 237

    Google Scholar 

  39. H. Reichenbach, The Direction of Time (University of California Press, Berkeley, 1956)

    Google Scholar 

  40. H. Reichenbach, The Philosophy of Space & Time (Dover, New York, 1957), English translation of Philosophie der Raum-Zeit-Lehre (Walter de Gruyter, Berlin, 1928)

    MATH  Google Scholar 

  41. H. Reichenbach, Philosophical Foundations of Quantum Mechanics (University of California Press, Berkeley, 1964), first California paperback printing

    Google Scholar 

  42. H. Reichenbach, in Selected Writings, 1909–1953, vol. I, M. Reichenbach, R.S. Cohen (eds.) (Reidel, Dordrecht, 1978)

    Google Scholar 

  43. M. Schlick, Zeitschrift für Philosophie und philosophische Kritik 159, 129 (1915), English translation in Moritz Schlick: Philosophical Papers (1909–1922), vol. I, H. Mulder, B.F.B. van de Velde-Schlick (eds.) (Reidel, Dordrecht, 1979), p. 153

    Google Scholar 

  44. M. Schlick, Die Naturwissenschaften 5, 161, 177 (1917)

    Article  ADS  Google Scholar 

  45. M. Schlick, Raum und Zeit in der gegenwärtigen Physik (Julius Springer Verlag, Berlin, 1917)

    Book  MATH  Google Scholar 

  46. M. Schlick, Die Naturwissenschaften 19, 145 (1931), English translation [48]

    Article  ADS  Google Scholar 

  47. M. Schlick, University of California Publications in Philosophy XV, 99 (1932), reprinted in Moritz Schlick: Philosophical Papers (1925–1936), vol. II, H. Mulder, B.F.B. van de Velde-Schlick (eds.) (Reidel, Dordrecht, 1979), p. 238

    Google Scholar 

  48. M. Schlick, in Moritz Schlick: Philosophical Papers (1925–1936), vol. II, H. Mulder, B.F.B. van de Velde-Schlick (eds.) (Reidel, Dordrecht, 1979), p. 176

    Google Scholar 

  49. D. Sciama, in The Nature of Time, R. Flood, M. Lockwood (eds.) (Basil Blackwell, Oxford, 1986), p. 6

    Google Scholar 

  50. P.A. Schilpp (ed.), Albert Einstein: Philosopher-Scientist (Open Court, La Salle, IL, 1949)

    MATH  Google Scholar 

  51. P.A. Schilpp (ed.), The Philosophy of Rudolf Carnap (Open Court, La Salle, IL, 1963)

    Google Scholar 

  52. E.C.G. Stückelberg, Helvetica Physica Acta 14, 588 (1941)

    MathSciNet  Google Scholar 

  53. E.C.G. Stückelberg, Helvetica Physica Acta 15, 23 (1942)

    ADS  MathSciNet  Google Scholar 

  54. J. von Neumann, Mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932)

    MATH  Google Scholar 

  55. J.A. Wheeler, W.H. Zurek (eds.), Quantum Theory and Measurement (Princeton University Press, Princeton, 1983)

    Google Scholar 

  56. J.A. Wheeler, R.P. Feynman, Rev. Mod. Phys. 17, 157 (1945)

    Article  ADS  Google Scholar 

  57. J.A. Wheeler, R.P. Feynman, Rev. Mod. Phys. 21, 425 (1949)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to José M. Sánchez-Ron .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Sánchez-Ron, J.M. (2009). Memories of Old Times: Schlick and Reichenbach on Time in Quantum Mechanics. In: Muga, G., Ruschhaupt, A., del Campo, A. (eds) Time in Quantum Mechanics - Vol. 2. Lecture Notes in Physics, vol 789. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03174-8_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-03174-8_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03173-1

  • Online ISBN: 978-3-642-03174-8

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics