Spatially Extended Relativistic Particles Out of Traveling Front Solutions of Sine-Gordon Equation in (1+2) Dimensions. [PDF]
PLoS ONE, 2016 Slower-than-light multi-front solutions of the Sine-Gordon in (1+2) dimensions, constructed through the Hirota algorithm, are mapped onto spatially localized structures, which emulate free, spatially extended, massive relativistic particles.
Yair Zarmi
doaj +3 more sources
Bel-Robinson tensor and dominant energy property in the Bianchi type I Universe [PDF]
, 2006 Within the framework of Bianchi type-I space-time we study the Bel-Robinson tensor and its impact on the evolution of the Universe. We use different definitions of the Bel-Robinson tensor existing in the literature and compare the results.
Bel L. +13 more
core +2 more sources
Twistor formulation of massless 6D infinite spin fields [PDF]
Nuclear Physics B, 2021 We construct massless infinite spin irreducible representations of the six-dimensional Poincaré group in the space of fields depending on twistor variables. It is shown that the massless infinite spin representation is realized on the two-twistor fields.
I. Buchbinder, S. Fedoruk, A. Isaev
semanticscholar +1 more source
Scattering matrix of elementary excitations in the antiperiodic XXZ spin chain with η=iπ3 [PDF]
Nuclear Physics B, 2021 We study the thermodynamic limit of the antiperiodic XXZ spin chain with the anisotropic parameter η = πi 3 . We parameterize eigenvalues of the transfer matrix by their zero points instead of Bethe roots.
Pei Sun +4 more
semanticscholar +1 more source
2D relativistic oscillators with a uniform magnetic field in anti-de Sitter space [PDF]
, 2021 We study analytically the two-dimensional deformed bosonic oscillator equation for charged particles (both spin 0 and spin 1 particles) subject to the effect of an uniform magnetic field.
Lakhdar Sek, M. Falek, Mustafa Moumni
semanticscholar +1 more source
Relativistic levels of mesic atoms [PDF]
, 2020 We revisit the derivation of the covariant two-body scalar-fermion equation with a Coulomb interaction, presented in a previous paper. We show that it can be given the formal aspect of a Dirac equation, but for the fact that the eigenvalue is also ...
R. Giachetti, E. Sorace
semanticscholar +1 more source
On a relativistic scalar particle subject to the Klein-Gordon oscillator, the Coulomb potential and a linear scalar potential [PDF]
, 2015 The relativistic quantum dynamics of an electrically charged particle subject to the Klein-Gordon oscillator and the Coulomb potential is investigated. By searching for relativistic bound states, a particular quantum effect can be observed: a dependence ...
R. L. L. Vit'oria, C. Furtado, K. Bakke
semanticscholar +1 more source
Quantum mechanics of orthogonal polynomials [PDF]
, 2017 We present a formulation of quantum mechanics based on orthogonal polynomials. The wavefunction is expanded over a complete set of square integrable basis in configuration space where the expansion coefficients are orthogonal polynomials in the energy ...
A. Alhaidari
semanticscholar +1 more source
Analysis and application of the discontinuous Galerkin method to the RLW equation
Boundary Value Problems, 2013 In this work, our main purpose is to develop of a sufficiently robust, accurate and efficient numerical scheme for the solution of the regularized long wave (RLW) equation, an important partial differential equation with quadratic nonlinearity ...
J. Hozman, J. Lamač
semanticscholar +2 more sources
Heuristic Models of Two-Fermion Relativistic Systems with Field-Type Interaction [PDF]
, 2002 We use the chain of simple heuristic expedients to obtain perturbative and exactly solvable relativistic spectra for a family of two-fermionic bound systems with Coulomb-like interaction.
A Duviryak +36 more
core +2 more sources