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We make a relativistic extension of the one-dimensional J-matrix method of scattering. The relativistic potential matrix is a combination of vector, scalar, and pseudo-scalar components. These are non-singular short-range potential…

Quantum Physics · Physics 2020-09-14 A. D. Alhaidari

A phenomenological theory of luminescence properties of one-dimensional resonant photonic crystals is developed within the framework of classical Maxwell equations with fluctuating polarization terms representing non-coherent sources of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. I. Deych , M. V. Erementchouk , A. A. Lisyansky , E. L. Ivchenko , M. M. Voronov

Relativistic tunnel ionization of atoms by intense, elliptically polarized light is considered. The relativistic version of the Landau-Dykhne formula is employed. The general analytical expression is obtained for the relativistic…

Atomic Physics · Physics 2009-10-31 J. Ortner

The one-step model of valence-band photoemission and inverse photoemission from single-crystal surfaces is reformulated for generalized (non-local, complex and energy-dependent) potentials. Thereby, it becomes possible to account for…

Strongly Correlated Electrons · Physics 2009-10-30 M. Potthoff , J. Lachnitt , W. Nolting , J. Braun

Energy diffusion due to spontaneous localization (SL) for a relativistically-fast moving particle is examined. SL is an alternative to standard quantum theory in which quantum state reduction is treated as a random physical process which is…

Quantum Physics · Physics 2013-09-04 Daniel Bedingham

One propose a relativistic version of the transfer matrix method for an electron moving through a given number of rectangular barriers of arbitrary shape. It is shown that starting with the Dirac equation depending on the effective mass and…

Other Condensed Matter · Physics 2009-11-11 Ion I. Cotaescu , Paul Gravila , Marius Paulescu

In the nonrelativistic many-electron approximation of the theory of photoionization of the atom in the formalism of secondary quantization and the theory of irreducible tensor operators, analytical structures for the quadrupole transition…

Atomic Physics · Physics 2025-04-14 Alexey N. Hopersky , Alexey M. Nadolinsky , Rustam V. Koneev , Julia N. Tolkunova

The relativistic two-body potentials of constraint theory for systems composed of two spin-0 or two spin-1/2 particles are calculated, in perturbation theory, by means of the Lippmann-Schwinger type equation that relates them to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Jallouli , H. Sazdjian

The dispersion characteristics of an circularly polarized electromagnetic wave of arbitrary amplitude, propagating in a highly (thermally and kinematically) relativistic plasma, are shown to approach those of a linear wave in an…

Plasma Physics · Physics 2018-07-17 Swadesh Mahajan , Manasvi Lingam

It is shown that a relativistic multiple scattering theory for hadron-nucleus scattering can be consistently formulated in four-dimensions in the context of meson exchange. We give a multiple scattering series for the optical potential and…

Nuclear Theory · Physics 2008-11-26 Khin Maung Maung , John W. Norbury , Trina Coleman

In the framework of dielectric theory the static non-local self-energy of an electron near an ultra-thin polarizable layer has been calculated and applied to study binding energies of image-states near free-standing graphene. The…

Materials Science · Physics 2014-03-04 P. L. de Andres , P. M. Echenique , D. Niesner , Th. Fauster , A. Rivacoba

A novel imaging principle based on the interaction of electromagnetic waves with a beam of relativistic electrons is proposed. Wave-particle interaction is assumed to take place in a small spatial domain, so that each electron is only…

Classical Physics · Physics 2009-11-10 Neil Budko

We consider the reflection of relativistically strong radiation from plasma and identify the physical origin of the electrons' tendency to form a thin sheet, which maintains its localisation throughout its motion. Thereby we justify the…

Plasma Physics · Physics 2018-02-14 Arkady Gonoskov

A consistent theory, which describes the incoherent scattering of classically moving relativistic particles by the nuclei of crystal planes without any phenomenological parameter is presented. The basic notions of quantum mechanics are…

Accelerator Physics · Physics 2021-03-05 Victor V. Tikhomirov

In the complete system of equations of evolution of the classical system of charges and the electromagnetic field generated by them, the field variables are excluded. An exact closed relativistic non-Hamiltonian system of nonlocal kinetic…

Statistical Mechanics · Physics 2020-05-19 A. Yu. Zakharov

The electric permittivities and magnetic permeabilities for a relativistic electron gas are calculated from quantum electrodynamics at finite temperature and density as functions of temperature, chemical potential, frequency, and…

Quantum Physics · Physics 2016-05-11 C. A. A. de Carvalho

Natural optical activity is the paradigmatic example of an effect originating in the weak spatial inhomogeneity of the electromagnetic field on the atomic scale. In molecules, such effects are well described by the multipole theory of…

Materials Science · Physics 2023-05-31 Óscar Pozo , Ivo Souza

Closed-form, normalizable solutions of Dirac's equation propagating within a semi-infinite cylindrical waveguide are obtained in terms of ordinary and modified Bessel functions. These relativistic wave packets induce quantum backflow on a…

Quantum Physics · Physics 2021-12-28 Siddhant Das

A self-contained discussion of nonrelativistic quantum scattering is presented in the case of central potentials in one space dimension, which will facilitate the understanding of the more complex scattering theory in two and three…

Quantum Physics · Physics 2009-11-06 Vania E. Barlette , Marcelo M. Leite , Sadhan K. Adhikari

Absorption and emission in inorganic bipolar solar cells based on low dimensional structures exhibiting the effects of quantum confinement is investigated in the framework of a comprehensive microscopic theory of the optical and electronic…

Mesoscale and Nanoscale Physics · Physics 2009-12-09 U. Aeberhard , U. Rau
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