Popper's Experiment Revisited
Recently, there has been increasing theoretical and experimental interest in Popper's gedanken experiment. We calculate in this paper, using the path integral approach, the diffraction patterns predicted by quantum mechanics for this arrangement. The calculations confirm the narrowing of the width of the pattern in absence of the slit obtained experimentally by Kim and Shih (Y. Kim and Y. Shih, Found. Phys.29, 1849 (1999)).
Unable to display preview. Download preview PDF.
- 1.K. R. Popper, Quantum Theory and the Schism in Physics (Hutchinson, London, 1982), pp 27–29.Google Scholar
- 2.M. J. Collet and R. Loudon, “Analysis of a proposed crucial test of quantum mechanics,” Nature 326, 671 (1987).Google Scholar
- 3.K. Popper, “Popper versus Copenhagen,” Nature 328, 675 (1987).Google Scholar
- 4.M. J. Collet and R. Loudon, “Reply,” Nature 328, 675 (1987).Google Scholar
- 5.P. Storey, M. Collet, and D. Walls, “Measurement-induced diffraction and interference of atoms,” Phys. Rev. Lett. 68, 472 (1992).Google Scholar
- 6.Y. Kim and Y. Shih, “Experimental realization of Popper's experiment: Violation of the uncertainty principle?,” Found. Phys. 29, 1849 (1999).Google Scholar
- 7.R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).Google Scholar
- 8.P. Sancho, “Reduced density matrix in two-particle interferometry,” Phys. A 287, 206 (2000).Google Scholar
- 9.D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon “ghost” interference and diffraction.” Phys. Rev. Lett. 74, 3600 (1995).Google Scholar