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We solve the problem of electron scattering at a potential temporal step discontinuity. We show that the Schrodinger equation cannot account for scattering in this problem, necessitating resort to the Dirac equation, and that breaking gauge…

Quantum Physics · Physics 2024-03-12 Furkan Ok , Amir Bahrami , Christophe Caloz

We derive and implement a suitable boundary condition for the kinetic description of the electrons inside a plasma, which takes into account microphysical processes inside the wall. It is based on the surface scattering kernel, which…

Plasma Physics · Physics 2025-11-26 Felix Willert , Clemens Hoyer , Gordon K. Grubert , Franz X. Bronold

We consider the electron density at the position of an ion of charge Ze in a plasma under conditions approximating those in the core of the sun. Numerical calculations have shown that the plasma effects on the density, over and above the…

Astrophysics · Physics 2008-11-26 Lowell S. Brown , R. F. Sawyer

Relations between particle and wave properties for charge carriers in periodic potentials of crystalline metals and semiconductors are derived. The particle aspects of electrons and holes in periodic potentials are considered using…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Wlodek Zawadzki

We discuss the mechanism of anomalous Hall effect related to the contribution of electron states below the Fermi surface (induced by the Berry phase in momentum space). Our main calculations are made within a model of two-dimensional…

Materials Science · Physics 2009-11-11 V. K. Dugaev , P. Bruno , M. Taillefumier , B. Canals , C. Lacroix

Based on the concept of extended particles recently introduced we perform a Gedankenexperiment accelerating single electrons with photons of suitably low frequency. Accounting for relativistic time dilation due to the acquired velocity and…

Quantum Physics · Physics 2007-05-23 W. A. Hofer

The hidden Bose-Einstein singularities of correlated electron systems, whose possible existence has been pointed out in a previous paper based on quantum field theory of ordered phases [T. Kita, J. Phys. Soc. Jpn. {\bf 93}, 124704 (2024)],…

Strongly Correlated Electrons · Physics 2025-07-09 Takafumi Kita

In a recent study of the self-adjoint extensions of the Hamiltonian of a particle confined to a finite region of space, in which we generalized the Heisenberg uncertainty relation to a finite volume, we encountered bound states localized at…

Quantum Physics · Physics 2015-06-04 M. H. Al-Hashimi , U. -J. Wiese

The localization of electrons caused by atomic disorder is a well-known phenomenon. However, what circumstances allow electrons to remain delocalized and retain band-like characteristics even when the crystal structure is completely absent,…

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

An analytic approach to the electron transport phenomena in molecular devices is presented. Analyzed devices are composed of organic molecules attached to the two semi-infinite electrodes. Molecular system is described within the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak

By applying the projection technique to the computation of excitation energies, we study the correlation effects on the band gap of conducting polymers. In the presence of an additional electron or hole, the correlation induces a…

Condensed Matter · Physics 2009-10-22 C. Q. Wu

Many-body effects in confined quantum systems pose a challenging problem due to the simultaneous presence of particle-particle interactions and spatial inhomogeneity. Here we investigate universal properties of strongly confined particles…

Materials Science · Physics 2009-11-13 K. Capelle , M. Borgh , K. Karkkainen , S. M. Reimann

In a two dimensional electron gas with Rashba spin-orbit coupling, the external electric field may cause a spin Hall current in the direction perpendicular to the electric field. This effect was called the intrinsic spin Hall effect. In…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Xiaohua Ma , Liangbin Hu , Ruibao Tao , Shun-Qing Shen

In the early days of quantum mechanics Kapitza and Dirac predicted that matter waves would scatter off the optical intensity grating formed by two counter-propagating light waves [1]. This interaction, driven by the ponderomotive potential…

A two-body quantum correlation is calculated for a particle and an infinite potential well in which it is trapped or either a barrier or finite well over which it traverses. Correlated interference results when the incident and reflected…

Quantum Physics · Physics 2014-05-06 F. V. Kowalski , R. S. Browne

Single particle states in a chain with quasiperiodic potential show a metal-insulator transition upon the change of the potential strength. We consider two particles with local interaction in the single particle insulating regime. The two…

Quantum Physics · Physics 2015-06-03 Sergej Flach , Mikhail Ivanchenko , Ramaz Khomeriki

In conventional electrides, excess electrons are localized in crystal voids to serve as anions. Most of these electrides are metallic and the metal cations are primarily from the s-block, d-block, or rare-earth elements. Here, we report a…

Materials Science · Physics 2025-03-05 Jiaqi Dai , Feng Yang , Cong Wang , Fei Pang , Zhihai Cheng , Wei Ji

We propose a novel electron acceleration mechanism, which we call stochastic shock drift acceleration (SSDA), that extends the standard shock drift acceleration (SDA) for low-energy electrons at a quasi-perpendicular shock to include the…

High Energy Astrophysical Phenomena · Physics 2019-04-10 T. Katou , T. Amano

The object of the present study is the integrated density of states of a quantum particle in multi-dimensional Euclidean space which is characterized by a Schr\"odinger operator with a constant magnetic field and a random potential which…

Mathematical Physics · Physics 2009-10-31 Thomas Hupfer , Hajo Leschke , Peter Müller , Simone Warzel