107
Views
3
CrossRef citations to date
0
Altmetric
Articles

Inertial Trajectories in de Broglie-Bohm Quantum Theory: An Unexpected Problem

References

  • Acuña, P. 2014. “On the Empirical Equivalence between Special Relativity and Lorentz's Ether Theory.” Studies in History and Philosophy of Modern Physics 46: 283–302. doi: 10.1016/j.shpsb.2014.01.002
  • Allori, V., D. Dürr, S. Goldstein, and N. Zanghì. 2002. “Seven Steps towards the Classical World.” Journal of Optics B: Quantum and Semiclassical Optics 4: S482–S488. doi: 10.1088/1464-4266/4/4/344
  • Anandan, J., and H. Brown. 1995. “On the Reality of Space-time Geometry and the Wavefunction.” Foundations of Physics 25: 349–360. doi: 10.1007/BF02055212
  • Bacciagaluppi, G., and A. Valentini. 2009. Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference. Cambridge: Cambridge University Press.
  • Belot, G. 2012. “Quantum States for Primitive Ontologists.” European Journal for Philosophy of Science 2: 67–83. doi: 10.1007/s13194-011-0024-8
  • Belousek, D. 2003. “Formalism, Ontology and Methodology in Bohmian Mechanics.” Foundations of Science 8: 109–172. doi: 10.1023/A:1023925900377
  • Bohm, D. 1952. “A Suggested Interpretation of the Quantum Theory in Terms of ‘Hidden’ Variables I–II.” Physical Review 85: 166–179. doi: 10.1103/PhysRev.85.166
  • Brown, H., A. Elby, and R. Weingard. 1996. “Cause and Effect in the Pilot-wave Interpretation of Quantum Mechanics.” In Bohmian Mechanics and Quantum Theory: An Appraisal, edited by J. Cushing, A. Fine, and S. Goldstein, 309–320. Dordrecht: Springer.
  • Cushing, J. 1994. Quantum Mechanics: Historical Contingency and the Copenhagen Hegemony. Chicago, IL: University of Chicago Press.
  • de Broglie, L., and L. Brillouin. 1928. Selected Papers on Wave Mechanics. London: Blackie & Sons.
  • Dickson, M. 2000. “Are There Material Objects in Bohm's Theory?” Philosophy of Science 67: 704–710. doi: 10.1086/392862
  • Dürr, D., S. Goldstein, and N. Zanghì. 1992. “Quantum Equilibrium and the Origin of Absolute Uncertainty.” Journal of Statistical Physics 67: 843–907. doi: 10.1007/BF01049004
  • Dürr, D., S. Goldstein, and N. Zanghì. 1996. “Bohmian Mechanics as the Foundations of Quantum Mechanics.” In Bohmian Mechanics and Quantum Theory: An Appraisal, edited by J. Cushing, A. Fine, and S. Goldstein, 21–44. Dordrecht: Springer.
  • Dürr, D., S. Goldstein, and N. Zanghì. 1997. “Bohmian Mechanics and the Meaning of the Wave Function.” In Experimental Metaphysics: Quantum Mechanical Studies for Abner Shimony, edited by R. Cohen, M. Horne, and J. Stachel, 25–38. Dordrecht: Kluwer.
  • Dürr, D., and S. Teufel. 2009. Bohmian Mechanics: The Physics and Mathematics of Quantum Theory. Berlin: Springer.
  • Esfeld, M., M. Hubert, M. Lazarovici, and D. Dürr. 2014. “The Ontology of Bohmian Mechanics.” British Journal for the Philosophy of Science 65: 773–796. doi: 10.1093/bjps/axt019
  • Goldstein, S., and N. Zanghì. 2013. “Reality and the Role of the Wave Function in Quantum Theory.” In Quantum Physics without Quantum Philosophy, edited by D. Dürr, S. Goldstein, and N. Zanghì, 263–278. Heidelberg: Springer.
  • Holland, P. 1993. The Quantum Theory of Motion. Cambridge: Cambridge University Press.
  • Janssen, M. 1995. “ A Comparison between Lorentz's Ether Theory and Special Relativity in the Light of the Experiments of Trouton and Noble.” PhD thesis, University of Pittsburgh.
  • Monton, B. 2002. “Wave Function Ontology.” Synthese 130: 265–277. doi: 10.1023/A:1014493527177
  • Norsen, T. 2010. “The Theory of (Exclusively) Local Beables.” Foundations of Physics 40: 1858–1884. doi: 10.1007/s10701-010-9495-2
  • Norsen, T., D. Marian, and X. Oriols. 2015. “Can the Wave Function in Configuration Space Be Replaced by Single-particle Wave Functions in Physical Space?” Synthese 192: 3125–3151. doi: 10.1007/s11229-014-0577-0
  • Pitowski, I. 1991. “Bohm's Quantum Potential and Quantum Gravity.” Foundations of Physics 21: 343–352. doi: 10.1007/BF01883639
  • Skow, B. 2010. “On a Symmetry Argument for the Guidance Equation in Bohmian Mechanics.” International Studies in the Philosophy of Science 24: 393–410. doi: 10.1080/02698595.2010.543350
  • Solé, A. 2013. “Bohmian Mechanics without Wave Function Ontology.” Studies in History and Philosophy of Modern Physics 44: 365–378. doi: 10.1016/j.shpsb.2013.07.004
  • Suárez, M. 2015. “Bohmian Dispositions.” Synthese 192: 3203–3228. doi: 10.1007/s11229-015-0741-1
  • Valentini, A. 1992. “ On the Pilot-wave Theory of Classical, Quantum, and Subquantum Physics.” PhD thesis, Scuola Internazionale Superiore di Studi Avanzati.
  • Valentini, A. 1996. “Pilot-wave Theory of Fields, Gravitation and Cosmology.” In Bohmian Mechanics and Quantum Theory: An Appraisal, edited by J. Cushing, A. Fine, and S. Goldstein, 45–66. Dordrecht: Springer.
  • Valentini, A. 1997. “On Galilean and Lorentz Invariance in Pilot-wave Dynamics.” Physics Letters A 228: 215–222. doi: 10.1016/S0375-9601(97)00101-1
  • Weatherall, J. O. 2011a. “On the Status of the Geodesic Principle in Newtonian and Relativistic Physics.” Studies in History and Philosophy of Modern Physics 42: 276–281. doi: 10.1016/j.shpsb.2011.09.004
  • Weatherall, J. O. 2011b. “The Motion of a Body in Newtonian Theories.” Journal of Mathematical Physics 52: 1–17. doi: 10.1063/1.3556608

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.