Exact solutions to the Dirac-Born-Infeld equation, which describes scat-terings of localized wave packets in the presence of constant background fields, are derived in this paper.

The neutrino oscillation phenomenon has been discussed in the case of neutrinos propagating in a flat space–time both in the plane wave approach for highly relativistic neutrinos [1] and in the wave packet formalism [2]. In this note we present a generalization of the plane wave approach to the case of curved space–time [3–5]. In order to generalize the plane–wave approach to the case of a curv...

This article concerns the dressing method for solving of multidimensional nonlinear Partial Differential Equations. In particular, we join hierarchy of matrix Burgers type equation with hierarchies of equations integrable by the Inverse Spectral Transform (IST). Example of resonance interaction of wave packets in (3+1)-dimensions is given.

I refute the criticisms of Ref. [1] raised in Ref. [2]. With this short note I would like to answer the rather provocative note of Okun, Rotaev, Schepkin and Tsukerman (O.R.S.T.) in Ref. [2]. First, I would like to thank O.R.S.T. for their attention to my recent paper in Ref. [1], that is the object of their criticism. The specific target of the O.R.S.T. criticism is the use of the substitution...

Hendrike Braun1, Tim Bayer2, Cristian Sarpe1, Robert Siemering3, Regina de Vivie-Riedle3, Thomas Baumert1 and Matthias Wollenhaupt4 1Universität Kassel, Institut für Physik und CINSaT, Heinrich-Plett-Str. 40, 34132 Kassel, Germany 2Weizmann Institute of Science, Department of Physics of Complex Systems, Rehovot 76100, Israel 3Ludwig-Maximilians-Universität München, Department Chemie, Butenandt-...

Abstract Quantum correlations provide a fertile testing ground for investigating fundamental aspects of quantum physics in various systems, especially the case relativistic (elementary) particle systems as neutrinos. In recent paper, Ming et al. (Eur Phys J C 80:275, 2020), connection with results Daya-Bay and MINOS experiments, have studied quantumness neutrino oscillations framework plane-wav...

Although real, normalized Gaussian wave packets minimize the product of position and momentum uncertainties, generic complex normalized Gaussian wave packets do not. We prove they minimize an alternative product of uncertainties that correspond to variables that are phase space rotations of position and momentum.