American Journal of Modern Physics and Application 2015; 2(3): 36-39 Published online June 10, 2015 (http://www.openscienceonline.com/journal/ajmpa) An Attempt to Describe Quantum Interference on Two Slits in Classical Terms Vladimir K. Ignatovich 1, * , Konstantin Batkov 2 1 Frank Laboratory of Neutron Physics of Joint Institute for Nuclear Research, Dubna, Russia 2 European Spallation Source, Lund, Sweden Email address v.ignatovi@gmail.com (V. K. Ignatovich) To cite this article Vladimir K. Ignatovich, Konstantin Batkov. An Attempt to Describe Quantum Interference on two Slits in Classical Terms. American Journal of Modern Physics and Application. Vol. 2, No. 3, 2015, pp. 36-39. Abstract 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. Keywords Quantum Mechanics, Interference, Electron Diffraction, Hidden Parameters 1. Introduction In quantum mechanics diffraction of a particle on 2 slits in a screen is described as interference of a wave, and the particle is supposed to go simultaneously through both slits. Such a picture does not look realistic, and those, who worry about interpretation of quantum mechanics, try to devise a more realistic picture. First attempt was made by de Broglie [1], who interpreted wave function as a field of a point particle. Next step was done by Bohm [2]. He introduced the so-called quantum potential. However, the Bohmian mechanics [3-6] is only a special way to solve the Schrödinger equation. The de Broglie’s approach was considered also in [7]. There was made an attempt to explain with it an anomaly of the ultracold neutrons storage in closed vessels [8]. In [9] it was proposed a pure classical approach to interference without use of the Schrödinger equation. The idea of this approach is the following. Suppose that a particle is a classical point-like object, and its wave function is some field like the Coulomb one in the case of electrons. Motion of the particle is defined by the Newton equation 2 2 r( ) F(| (r, ) |) d t t dt ψ = , (1) in which the force depends on the field at the position of the particle. It is its own field reflected from surrounding bodies. In order to find the force it is necessary to solve the field equation (r, ) (r, ) (r r( )) 2 t i t b t t ψ ψ δ ∆ ∂ + = - ∂ , (2) where r( ) t is the trajectory defined by the first equation, and solution of Eq. (2) must be found with account of boundary conditions on the surrounding objects. For instance, if a particle (imagine a classical electron) moves through a slit on the screen S t , as shown in Fig. 1, its trajectory is determined by action of its own field reflected from the screen, and reflection depends on boundary conditions at the screen surface. If there is only one slit in the screen S t , the particle will strike the detecting screen S 0 at some point. If there appears another slit in the screen S t , the boundary conditions will change; therefore the field and trajectory of the particle also change. Then the particle will strike the detecting screen S 0 at another point, as shown in Fig. 1. So, there is an interference between two slits, or perturbation of the particle trajectory going through one slit created by simple presence of the nearby second slit. The wave function, or wave field, defined by Eq. (2) can be in the form of the Coulomb field for classical electrons, or de Broglie’s wave packet [1], which for free particles with speed v looks like