It is well known that the concept of a trajectory of a quantum particle is itself nonsense in the so-called “Copenhagen” interpretation. However, if the interpretation proposed by Ishikawa [International Journal of Theoretical Physics,30(4), 401 (1991)] can be accepted in quantum mechanics, the trajectory of a quantum particle is significant (though it includes errors). In this paper we numerically analyze discrete trajectories of a quantum particle in a two-slit experiment under this new interpretation.
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Abu-Zeid, O. (1987).Physics Letters A,125, 162.
Arthurs, E., and Kelly, J. L., Jr. (1965).Bell System Technical Journal,44, 725.
Ash, B. R. (1972).Real Analysis and Probability, Academic Press, New York.
Davies, E. B. (1976).Quantum Theory of Open Systems, Academic Press, New York.
Holevo, A. S. (1982).Probabilistic and Statistical Aspects of Quantum Theory, North-Holland, Amsterdam.
Ishikawa, S. (1991a).Reports on Mathematical Physics,29(3), 257.
Ishikawa, S. (1991b).International Journal of Theoretical Physics,30(4), 401.
Ishikawa, S. (1992).Keio Science and Technology Reports,45(1), 1.
Prugovečki, E. (1981).Quantum Mechanics in Hilbert Space, Academic Press, New York.
She, C. Y., and Heffner, H. (1966).Physical Review,152, 1103.
Von Neumann, J. (1932).Die Mathematische Grundlagen Der Quantenmechanik, Springer-Verlag, Berlin.
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Ishikawa, S., Arai, T. & Kawai, T. Numerical analysis of trajectories of a quantum particle in two-slit experiment. Int J Theor Phys 33, 1265–1274 (1994). https://doi.org/10.1007/BF00670793
- Field Theory
- Elementary Particle
- Quantum Field Theory
- Quantum Mechanic
- Theoretical Physic