Abstract
The new techniques and ideas in quantum interferometry with neutrons, photons, atoms, electrons, and Bose condensates that fluorished in the last two decades have influenced in a decisive way the thinking and the research in the foundations and interpretation of quantum mechanics. The controversies existing among different schools on the reality of matter waves of quantum theory, the postulates of quantum measurement theory, and the (in)completeness of quantum mechanics have to be approached now in a new way. Our argumentation follows the spirit of the Paris school.
Similar content being viewed by others
REFERENCES
I. Percival, Phys. World 10, No. 3, 43 (1997).
L. de Broglie, La Physique Quantique, Restera-t-elle Indeterministe (Gauthier-Villars, Paris, 1953).
D. Bohm, Phys. Rev. 84, 166 (1951); 85, 166 (1952).
D. Bohm and J. P. Vigier, Phys. Rev. 96, 208 (1954).
B. J. Hiley, “ The role of the quantum potential in determining particle trajectories and the resolution of the measurement problem, ” in Open Questions in Quantum Physics, G. Tarozzi and A. van der Merwe, eds. (Reidel, Dordrecht, 1984).
F. Selleri, Ann. Fond. L. de Broglie 7, 45 (1982).
F. Selleri and G. Tarozzi, Nuovo Cimento A 43, 31 (1978).
E. Nelson, Quantum Fluctuations (Princeton University Press, Princeton, 1985).
E. Nelson, “Field Theory and the Future of Stochastic mechanics,” in Proc. Int. Conf. Stochastic Processes in Classical and Quantum systems, Ascona, 1985.
K. Yasue and J. C. Zambrini, Ann. Phys. 159, 99 (1985).
T. W. Marshall, Nuovo Cimento 38, 206 (1965). T. H. Boyer, Phys. Rev. 174, 1764 (1968). L.de la Peña, in Stochastic Processes Applied to Physics and Other Related Fields, B. Gómez et al., eds. (World Scientific, Singapore, 1983).
A. O. Barut, M. Božić, and Z. Marić, Found. Phys. 18, 999 (1988).
A. O. Barut, Phys. Lett. 143, 349 (1990).
A. O. Barut, “ The deterministic wave mechanics. A bridge between classical mechanics and probabilistic theory,” in Interpretation of Quantum Theory, L. Acardi, ed. (Acta Encyclopedia, 1993).
M. Božić and Z. Marić, Phys. Lett. A 158, 33 (1991).
M. Božić, Z. Mari ć, and J. P. Vigier, Found. Phys. 22, 1325 (1992).
H. Yilmaz, “Towards a comprehensive physical theory: gravity and quantum mechanics,” in The Present Status of the Quantum Theory of Light, S. Jeffers et al., eds. (Kluwer, Dordrecht, 1997).
J. S. Bell, “Against Measurement,” in Sixty-Two Years of Uncertainty, A. I. Miller, ed. (Plenum, New York, 1990).
S. Sonego, Eur. J. Phys. 17, 118 (1996).
H. Rauch, “Scope of neutron interferometry,” in Neutron Interferometry, U. Bonse and H. Rauch, eds. ( Clarendon Press, Oxford, 1979).
P. Grangier, G. Roger, and A. Aspect, “A New Light on Single Photon Interferences,” in New Techniques and Ideas in Quantum Measurement Theory, D. M. Greenberger, ed., Ann. N.Y. Acad. Sci. 480, 98 (1986).
A. Tonomura, J. Endo, T. Matsuda, T. Kawasaki, and H. Ezawa, Am. J. Phys. 57, 118 (1989).
A. Tonomura, Electron Holography (Springer, Berlin, 1993).
D. E. Pritchard, T. D. Hammond, J. Schmiedmayer, C. R. Ekstrom, and M. S. Chapman, “Atom Interferometry,” in Quantum Interferometry, F. De Martini, G. Denardo, and A. Zeilinger, eds. (World Scientific, Singapore, 1994).
H. Kaiser, R. Clothier, S. A. Werner, H. Rauch, and H. Wolwitsch, Phys. Rev. A 45, 31 (1992).
G. Badurek, H. Rauch, and D. Tupinger, Phys. Rev. A 34, 2600 (1986).
M. R. Andrews, C. G. Townsend, H.-J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, Science 269, 198 (1997).
M. P. Silverman, More Than One Mystery (Springer, New York, 1995).
A. Aspect, “Wave - particle duality: a case study,” in Sixty-Two Years of Uncertainty, A. I. Miller, ed. (Plenum, New York, 1990).
L. de Broglie, L 'interpretation de la Mechanique Ondulatoire (Gauthier-Villars, Paris, 1957).
N. G. van Kampen, Physica A 153, 97 (1988).
C. Townsend, W. Ketterle, and S. Stringari, Phys. World 10, No. 3, 29 (1997).
J. von Neumann, Mathematische Grundlagen der Quantentheorie (Springer, Berlin, 1931).
L. de Broglie, Etude Critique des Bases de l'interpretation Actuelle de la Mecanique Ondulatoire (Gauthier-Villars, Paris, 1963); English translation (Elsevier, Amsterdam, 1964).
M. Born, Z. Phys. 37, 863 (1926); translation into english in Quantum Theory and Measurement, J. A. Wheeler and W. H. Zurek, eds. (Princeton University Press, Princeton, 1983).
J. P. Vigier, “New theoretical implications of neutron interferometric double resonance experiments,” in Matter Wave Interferometry, G. Badurek, H. Rauch, and A. Zeilinger, eds. Physica B 151, 387 (1988).
M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984).
M. Božić and Z. Marić, Found. Phys. 25, 159 (1995).
M. Božić, “Compatible statistical interpretation of interference in double-slit interferometer,” in Waves and Particles in light and Matter, A. van der Merwe and A. Garuccio, eds. ( Plenum, New York, 1994).
Rights and permissions
About this article
Cite this article
Božić, M., Marić, Z. Quantum Interference, Quantum Theory of Measurement, and (In)completeness of Quantum Mechanics. Foundations of Physics 28, 415–427 (1998). https://doi.org/10.1023/A:1018712011063
Issue Date:
DOI: https://doi.org/10.1023/A:1018712011063