Electron Waves, Interference & Coherence

M. Yamanishi, Y. Osaka, Kazuki Yamatani +1 more

Proposed and analyzed is an ultrafast modulation scheme for electron quantum interference based on exchange interactions between coherent electron waves and photoexcited virtual excitons in quantum wire interferometers.

Arthur Rose-Innes, E. H. Rhoderick

I. Peterson

Junheng Pan, Shaoran Liu, Bozhou Zhang +2 more

Abstract In Copenhagen’s interpretation, a self-interference mechanism is assumed for a wave function to split and to pass through the slits simultaneously, then recombine and collapse to generate a dot signal on a detector. Its use of a single wave function to describe a whole ensemble without accounting for a particle’s individuality is incomplete. To better understand the single-electron double-slit interference, we use a wave-packet trajectory approach to track each electron’s dynamics and calculate the time-dependent interference intensity. We analyze the self-interference and cross-interference mechanisms to illustrate how an electron’s coherence length affects the self-interference and how it dictates the wave packet overlaps between adjacent electrons for the cross-interference mechanism to be effective. To circumvent a conflicting dilemma between the electron’s indivisibility and its wave-packet split while passing through the slits, we consider an alternate mechanism involving slit-induced quantized momentum. This mechanism preserves the electron’s indivisibility and avoids the illusive split, recombination and mysterious collapse of a single particle’s wave function.

K. Das Gupta

Introduction.-A few new ideas and results in connection with the coherent interaction processes of X-rays in crystals are presented in this talk.This includes the discussion of interaction processes of X-rays and electrons associated with the interference in crystals.The interference is the simplest phenomenon which establishes a correlation between electrons or photons in crystals and thereby introduces coherence in the final output.In the case of X-rays and electrons the most fundamental interference phenomenon is the Bragg scattering in crystals.This is essentially the interaction of electromagnetic waves in case of X-rays and the de Broglie waves in the case of electrons which are to be scattered by the periodic lattice waves involved in the scattering process.In Ewald's [I] dynamical theory of X-ray interference the scattering elements of the crystal act as vibrating dipoles at the lattice sites and the problem is to find in the crystal a balanced or self-consistent state of electromagnetic field and the dipole waves.In Ewald's [I] dynamical theory explaining the Bragg scattering, the scattered waves have the same angular frequency coo of the incident wave.Slater [2] described the interaction between the inci-