RSS feeds
РусскийEnglish
Issue 9, 2026
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2019

 / 

December

←  →

Methodological notes


On David Bohm's 'pilot-wave' concept


Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

Adequacy of interpretation of quantum mechanics on the basis of the so-called 'pilot-wave' concept is considered from the perspective of both already realized and possible and gedanken experiments, including those that involve photons. It is shown that this concept, despite undoubtedly being useful, can hardly ensure compliance of quantum-theory predictions with the postulate that particle coordinates and velocities objectively exist, while splitting of the wave function into empty and nonempty wave packets seems to be in contradistinction with the results of feasible experiments and their interpretations.

Fulltext pdf (260 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2018.11.038479
Keywords: orthodox interpretation, hidden variables, determinism, quantum superposition, quantum statistics
PACS: 03.65.Ta
DOI: 10.3367/UFNe.2018.11.038479
URL: https://ufn.ru/en/articles/2019/12/e/
000518758100005
2-s2.0-85082009159
Citation: Belinsky A V "On David Bohm's 'pilot-wave' concept" Phys. Usp. 62 1268–1278 (2019)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 2nd, July 2018, revised: 11th, August 2018, 22nd, November 2018

Оригинал: Белинский А В «О концепции "волны-пилота" Дэвида Бома» УФН 189 1352–1363 (2019); DOI: 10.3367/UFNr.2018.11.038479

References (57) ↓ Cited by (8) Similar articles (20)

  1. Bell J S Speakable And Unspeakable In Quantum Mechanics (Cambridge: Cambridge Univ. Press, 1987); Bell J S Speakable And Unspeakable In Quantum Mechanics 2nd ed. (Cambridge: Cambridge Univ. Press, 2004)
  2. de Broglie L C.R. Acad. Sci. 179 507 (1923); ’z’?р. ’?’? русс’?. ya’?., ’?’? ’Gр’?’?’?ь ’’ Usp. Fiz. Nauk 93 178 (1967)
  3. Schrödinger E Ann. Physik 79 361 (1926); ’z’?р. ’?’? русс’?. ya’?., Shр’?’?’?’?’?’?р ’e ’R’?’?р’?’?’?ы’? тру’?ы ’?’? ’?’?’?’?т’?’?’?’? ’?’?kh’?’?’?’?’? (’a.: ’v’?у’?’?, 1976) с. 9
  4. Jammer M The Conceptual Development Of Quantum Mechanics (New York: McGraw-Hill, 1966); ’z’?р. ’?’? русс’?. ya’?., ’Kzh’?’?’?’?р ’a ’e’?’?’?yuts’?ya ’?’?’?yaт’?’? ’?’?’?’?т’?’?’?’? ’?’?kh’?’?’?’?’? (’a.: ’v’?у’?’?, 1985)
  5. Bohm D Phys. Rev. 85 166 (1952)
  6. Bohm D Phys. Rev. 85 180 (1952)
  7. Styer D F et al Am. J. Phys. 70 288 (2002); ’z’?р ’?’? русс’?. ya’?.: ’lт’?’?’?р ’? ’?р "’K’?’?yaть ф’?р’?у’?’?р’?’?’?’? ’?’?’?’?т’?’?’?’? ’?’?kh’?’?’?’?’?", http://timeorigin21.narod.ru/rus_translation/QM_formulations.pdf
  8. Mahler D H et al Sci. Adv. 2 e1501466 (2016)
  9. Hensen B et al Nature 526 682 (2015)
  10. Hessmo B et al Phys. Rev. Lett. 92 180401 (2004)
  11. Babichev S A, Appel J, Lvovsky A I Phys. Rev. Lett. 92 193601 (2004)
  12. Fuwa M et al Nature Commun. 6 6665 (2015)
  13. Belinsky A V, Zhukovskiy A K J. Russ. Laser Res. 37 521 (2016)
  14. ’G’?’?’?’?с’?’?’? ’B ’E, Shу’?ь’?’?’? M X ’zр’?стр’?’?ст’?’?, ’?р’?’?ya фу’?’?’?’?’?’?т’?’?ь’?ы’? ’?’?’?’?’?’?’?’?’?ст’?’?ya (1) 38 (2017)
  15. Belinsky A V, Shulman M ’v J. Russ. Laser Res. 38 230 (2017)
  16. Oriols X, Mompart J Applied Bohmian Mechanics: From Nanoscale Systems To Cosmology (Eds X Oriols, J Mompart) (Singapore: Pan Stanford Publ., 2012) p. 15
  17. Jacques V et al Phys. Rev. Lett. 100 220402 (2008)
  18. Philippidis C, Dewdney C, Hiley B J Nuovo Cimento B 52 15 (1979)
  19. Gondran M, Gondran A Am. J. Phys. 73 507 (2005)
  20. Englert B-G et al Z. Naturforsch. A 47 1175 (1992)
  21. Katz N et al Phys. Rev. Lett. 101 200401 (2008)
  22. Kim Y-H et al Phys. Rev. Lett. 84 1 (2000)
  23. von Neumann J V Mathematische Grundlagen Der Quantenmechanik (Berlin: J. Springer, 1932); ’z’?р. ’?’? ’?’?’?’?. ya’?., von Neumann J V: Mathematical Foundations Of Quantum Mechanics (Princeton, N.J.: Princeton Univ. Press, 1955); ’z’?р. ’?’? русс’?. ya’?., ф’?’? ’v’?’?’?’?’? ’T ’a’?т’?’?’?т’?ch’?с’?’?’? ’?с’?’?’?ы ’?’?’?’?т’?’?’?’? ’?’?kh’?’?’?’?’? (’a.: ’v’?у’?’?, 1964)
  24. Dürr D, Goldstein S, Zanghì N J. Stat. Phys. 116 959 (2004)
  25. Bohm D Quantum Theory (New York: Prentice-Hall, 1951)
  26. Everett H (III ) Rev. Mod. Phys. 29 454 (1957)
  27. ’a’?’?с’?’?’? ’a ’G Usp. Fiz. Nauk 170 631 (2000); Menskii M B Phys. Usp. 43 585 (2000)
  28. ’a’?’?с’?’?’? ’a ’G Usp. Fiz. Nauk 175 413 (2005); Menskii M B Phys. Usp. 48 389 (2005)
  29. ’Iр’?’? ’B ’B Usp. Fiz. Nauk 183 1337 (2013); Grib A A Phys. Usp. 56 1230 (2013)
  30. Mensky M B Quantum Measurements And Decoherence. Models And Phenomenology (Dordrecht: Kluwer Acad. Publ., 2000); ’a’?’?с’?’?’? ’a ’G ’F’?’?’?т’?’?ы’? ’?’?’?’?р’?’?’?ya ’? ’?’?’?’?’?’?р’?’?ts’?ya. ’a’?’?’?’?’? ’? ф’?’?’?’?’?’?’?’?’?’?’?ya (’a.: ’s’?’?’?’?т’?’?т, 2001)
  31. Feynman R P Rev. Mod. Phys. 20 367 (1948)
  32. ’G’?’?’?’?с’?’?’? ’B ’E ’E’?ст. ’a’I’p ’l’?р. 3 ’s’?’?., ’Bстр’?’?. (3) 21 (2017); Belinsky A V Moscow Univ. Phys. Bull. 72 224 (2017)
  33. ’G’?’?’?’?с’?’?’? ’B ’E ’E’?ст. ’a’I’p ’l’?р. 3 ’s’?’?., ’Bстр’?’?. (4) 12 (2018); Belinsky A V Moscow Univ. Phys. Bull. 73 351 (2018)
  34. ’G’?’?’?’?с’?’?’? ’B ’E ’F’?’?’?т’?’?ы’? ’?’?’?’?р’?’?’?ya (’a.: ’G’R’v’d’a. ’’’?’?’?р’?т’?р’?ya ’?’?’?’?’?’?, 2008)
  35. Elyutin P V, Klyshko D N Phys. Lett. A 149 241 (1990)
  36. ’G’?’?’?’?с’?’?’? ’B ’E ’z’?сь’?’? Zh’e’n’s 54 13 (1991); Belinskii A V JETP Lett. 54 11 (1991)
  37. Eberhard P H Phys. Rev. A 47 R747 (1993)
  38. ’G’?’?’?’?с’?’?’? ’B ’E, ’F’?’?’?ts’?’? ’B ’B Usp. Fiz. Nauk 188 335 (2018); Belinsky A V, Klevtsov A A Phys. Usp. 61 313 (2018)
  39. Robertson H P Phys. Rev. 34 163 (1929)
  40. ’G’?’?’?’?с’?’?’? ’B ’E, ’’’?’?sh’?’? ’E ’G Usp. Fiz. Nauk 187 349 (2017); Belinsky A V, Lapshin V B Phys. Usp. 60 325 (2017)
  41. Shу’?ь’?’?’? ’a Kh ’E’?р’?’?ts’?’? ’?’? т’?’?ы ’?’?’?’?т’?’?’?’? т’?’?р’?’? (’a.: ’p’i’l’l, 2004); Shу’?ь’?’?’? ’a Kh http://timeorigin21.narod.ru/rus_quantum/Variations.pdf
  42. Bell J S Physics 1 195 (1964)
  43. Aspect ’B Quantum [Un]speakables: From Bell To Quantum Information (Eds R A Bertlmann, A Zeilinger) (Berlin: Springer, 2002); Aspect ’B quant-ph/0402001
  44. Gondran M, Gondran A "Measurement in the de Broglie-Bohm interpretation: Double-slit, Stern-Gerlach and EPR-B" arXiv:1309.4757; ’l’?’?р. ’?’?р. ’?’? русс’?. ya’?., http://www.timeorigin21.narod.ru/rus_translation/1309_4757_Gondrans.pdf
  45. Sanz À S J. Phys. Conf. Ser. 361 012016 (2012)
  46. Sanz A S, Miret-Artés S Am. J. Phys. 80 525 (2012)
  47. Grössing G Physica A 388 811 (2009); ’z’?р. ’?’? русс’?. ya’?., http://www.timeorigin21.narod.ru/rus_translation/Bom_thermodynamics.pdf
  48. Couder Y et al Europhys. News 41 (1) 14 (2010)
  49. Sh’?sh’?’?’?’? ’B ’v’?у’?’? zh’?’?’?ь (8) 8 (1998)
  50. Zurek W H "Decoherence and the transition from quantum to classical - revisited" Los Alamos Science (27) 2 (2002); ’z’?р. ’?’? русс’?. ya’?., http://www.timeorigin21.narod.ru/rus_translation/Zurek.pdf
  51. ’G’?’?’?’?с’?’?’? ’B ’E ’E’?ст. ’a’I’p ’l’?р. 3 ’s’?’?., ’Bстр’?’?. (3) 20 (1999)
  52. Merli P G, Missiroli G F, Pozzi G Am. J. Phys. 44 306 (1976)
  53. Tonomura A et al Am. J. Phys. 57 117 (1989)
  54. Shimizu F, Shimizu K, Takuma H Phys. Rev. A 46 R17 (1992)
  55. Dimitrova T L, Weis A Am. J. Phys. 76 137 (2008)
  56. Prosser R D Int. J. Theor. Phys. 15 169 (1976)
  57. Scully M O, Zubairy M S Quantum Optics (Cambridge: Cambridge Univ. Press, 1997)
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions