An Attempt to Describe Quantum Interference on two Slits in Classical Terms
[1]
Vladimir K. Ignatovich, Frank Laboratory of Neutron Physics of Joint Institute for Nuclear Research, Dubna, Russia.
[2]
Konstantin Batkov, European Spallation Source, Lund, Sweden.
An idea of interpretation of quantum interference in classical terms is presented. Classical propagation of an electron through a slit in a perfectly conducting screen is considered. The change of the electron trajectory under influence of a nearby slit in the same screen is evaluated. The goal of this study is to see whether the influence of the second slit on the electron trajectory can be interpreted as interference in quantum mechanics.
Quantum Mechanics, Interference, Electron Diffraction, Hidden Parameters
[1]
L. de Broglie “Non-linear wave mechanics: a~causal interpretation.” Amsterdam: Elsevier, 1960.
[2]
D. Bohm. "A Suggested Interpretation of the Quantum Theory in Terms of 'Hidden Variables'. "Physical Review. 85 (1952) 166, 180.
[3]
C. Philippidis, C. Dewdney, B. J. Hiley. “Quantum interference and Quantum potential.” Nuovo Cimento B52 (1979) 15-28.
[4]
H. R. Brown, C. Dewdney and G. Horton: "Bohm particles and their detection in the light of neutron interferometry", Foundations of Physics, 1995, Volume 25, Number 2, pp. 329-347.
[5]
P. R. Holland. “Hamiltonian theory of wave and particle in quantum mechanics II: Hamilton-Jacobi theory and particle back-reaction”, Nuovo Cimento B 116, 2001, pp. 1143-1172.
[6]
Peter Holland: What's wrong with Einstein's 1927 hidden-variable interpretation of quantum mechanics?, Foundations of Physics (2004), vol. 35, no. 2, p. 177–196.
[7]
V. K. Ignatovich., M.Utsuro “Tentative solution of UCN problem.” Phys. Lett. A. 1997. V. 225. p. 195--202.
[8]
V. K. Ignatovich “The Physics of Ultracold Neutrons.” Clarendon, Oxford, 1990.
[9]
M. Utsuro, V. K. Ignatovich, “Handbook of neutron optics” Wiley-VCH, Berlin (2010) p. 465.
[10]
A. Zommerfeld “Forlesungen uber theoretishe physik” band IV OPTIK, Wiesbaden, 1950, Deutschland.