Abstract
We discuss the split between system and measuring apparatus, i.e. non-unitary nature, of the conventional quantum mechanics to motivate a causal unitary description of nature. We then describe causal quantum mechanics of de Broglie and Bohm. We conclude by presenting a version of recently proposed causal quantum mechanics which treats position and momentum variable symmetrically.
References
N Bohr,Atomic theory and the description of nature (Cambridge, 1934);Atomic Physics and Human Knowledge (Wiley, New York, 1958);Essays 1958/1962 on Atomic Physics and Human Knowledge (Wiley, New York, 1963)
L D Landau and E M Lifshitz,Quantum mechanics (Pergamon, 1958)
J von Neumann,Mathematische Grundlagen der Quanten Mechenik (Springer-Verlag, Berlin, 1932) [Mathematical Foundations of Quantum Mechanics, translated by R T Beyer (Princeton, 1955)]
F London and E Bauer,La Theorie de l’observation en Mecanique Quantique (Hernan and Cie, Paris, 1939). [An English translation is available inQuantum Theory and Measurement edited by J A Wheeler and W H Zurek (Princeton, 1983)]
E Wigner,Symmetries and reflections (Indian Univ. Press, Bloomington, 1967)
L de Broglie,Compt. Rend. 183, 447 (1926);184, 273 (1927);185, 380 (1927)
L de Broglie,Nonlinear wave mechanics, A causal interpretation (Elsevier, 1960)
D Bohm,Phys. Rev. 85, 166 (1952);85, 180 (1952)
D Bohm and B J Hiley,The undivided universe: An ontological interpretation of quantum theory (Routledge, London, 1993)
J S Bell,Speakable and unspeakable in quantum mechanics (Cambridge, 1987)
P R Holland,The quantum theory of motion (Cambridge, 1993)
H Everett III,Rev. Mod. Phys. 29, 454 (1957)
B S Dewitt and N Graham (eds)The many world interpretation of quantum mechanics (Princeton, 1973)
R B Griffiths,J. Stat. Phys. 36, 219 (1984);Am. J. Phys. 55, 11 (1987)
M Gell Mann and J B Hartle, inProc. of the Third International Conference on the Foundations of Quantum Mechanics in the light of New Technology edited by S Kobayashi, H Ezawa, Y Murayama and S Nomura (Tokyo, 1990)
J B Hartle,Vistas in Astronomy 37, 569 (1993) and references therein
R Omnes,Rev. Mod. Phys. 64, 339 (1992)
W H Zurek,Phys. Rev. D24, 1516 (1981);D26, 1862 (1982)
J T Cushing,Quantum mechanics: Historical contingency and Copenhagen hegemony (Chicago, 1994)
E Madelung,Z. F. Physik 40, 332 (1926)
D Bohm and B J Hiley,The undivided universe: An ontological interpretation of quantum theory (Routledge, London, 1993) p. 109
See e.g., W Pauli, inLouis de Broglie, Physicien et Penseur edited by A George (Paris, 1953)
T Takabayashi,Prog. Theor. Phys. 8, 143 (1952)
E J Squires,Found. Phys. Lett. 3, 87 (1990)
D Home,Phys. Lett. A190, 353 (1994)
S M Roy and V Singh,Mod. Phys. Lett. A10, 709 (1995);Proc. of the Conf. on Bose and Twentieth Century Physics (Calcutta, 1994)
A Kumar,Int. J. Mod. Phys. (to appear)
A Martin and S M Roy,Phys. Lett. B350, 66 (1995)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Singh, V. Causal quantum mechanics. Pramana - J Phys 49, 5–16 (1997). https://doi.org/10.1007/BF02856334
Issue Date:
DOI: https://doi.org/10.1007/BF02856334