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Related papers: Polarization-Free Quantum Fields and Interaction

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We consider a quantum system S interacting with another system S and susceptible of being absorbed by S. The effective, dissipative dynamics of S is supposed to be generated by an abstract pseudo-Hamiltonian of the form H = H0 + V -- iC *…

Spectral Theory · Mathematics 2018-08-29 Jérémy Faupin , Francois Nicoleau

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

Quantum interference effects together with partial frequency redistribution (PFR) in line scattering produce subtle signatures in the so called Second Solar Spectrum (the linearly polarized spectrum of the Sun). These signatures are…

Solar and Stellar Astrophysics · Physics 2019-10-25 M. Sampoorna , K. N. Nagendra , K. Sowmya , J. O. Stenflo , L. S. Anusha

Scattering theory is employed to derive a Landauer-type formula for the spin and the charge currents, through a finite region where spin-orbit interactions are effective. It is shown that the transmission matrix yields the spatial direction…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 O. Entin-Wohlman , A. Aharony , Y. Tokura , Y. Avishai

Exact solutions of two-particle relativistic equations of quantum field theory describing the scattering $s$-states and the bound $s$-states are found in the cases of delta-shell potential and superposition of delta-shell potentials. Some…

Mathematical Physics · Physics 2013-12-09 Valery Kapshai , Yury Grishechkin

We provide an operator-algebraic construction of integrable models of quantum field theory on 1+1 dimensional Minkowski space with fermionic scattering states. These are obtained by a grading of the wedge-local fields or, alternatively, of…

Mathematical Physics · Physics 2024-02-19 Henning Bostelmann , Daniela Cadamuro

In this paper we will construct the Schrodinger representation for the linearly polarized Gowdy $S^1\times S^2$ and $S^3$ models coupled to massless scalar fields. Here the quantum states belong to a $L^2$-space for a suitable quantum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Gómez Vergel

The present paper deals with N=1 2D supersymmetric integrable quantum field theory. The S-matrix proposed to describe the interactions between supersymmetric particles is applied to theories involving topological excitations of zero central…

High Energy Physics - Theory · Physics 2007-05-23 Evangelos Mavrikis

We present the first numerical radiative transfer simulation of multiple light scattering in dust configurations containing aligned non-spherical (spheroidal) dust grains. Such models are especially important if one wants to explain the…

Astrophysics · Physics 2009-11-07 S. Wolf , N. V. Voshchinnikov , Th. Henning

For decades, a lot of work has been devoted to the problem of constructing a non-trivial quantum field theory in four-dimensional space time. This letter addresses the attempts to construct an algebraic quantum field theory in the framework…

High Energy Physics - Theory · Physics 2019-04-12 Andreas Aste

A strongly correlated electron system associated with the quantum superalgebra ${U}_q[{osp}(2|2)]$ is studied in the framework of the quantum inverse scattering method. By solving the graded reflection equation, two classes of…

Strongly Correlated Electrons · Physics 2016-08-16 X. -W. Guan , A. Foerster , U. Grimm , R. A. Römer , M. Schreiber

The general boundary formulation of quantum field theory is applied to a massive scalar field in two dimensional Rindler space. The field is quantized according to both the Schr\"odinger-Feynman quantization prescription and the holomorphic…

High Energy Physics - Theory · Physics 2017-01-04 Daniele Colosi , Dennis Rätzel

We study stationary and axially symmetric two solitonic solutions of five dimensional vacuum Einstein equations by using the inverse scattering method developed by Belinski and Zakharov. In this generation of the solutions, we use five…

High Energy Physics - Theory · Physics 2009-11-11 Shinya Tomizawa , Yoshiyuki Morisawa , Yukinori Yasui

The quantum vacuum fluctuations of a neutral scalar field induced by background zero-range potentials concentrated on a flat hyperplane of co-dimension $1$ in $(d+1)$-dimensional Minkowski spacetime are investigated. Perfectly reflecting…

Mathematical Physics · Physics 2021-04-09 Davide Fermi

It is shown that it is possible to define quantum field theory of a massless scalar free field on the Killing horizon of a 2D-Rindler spacetime. Free quantum field theory on the horizon enjoys diffeomorphism invariance and turns out to be…

High Energy Physics - Theory · Physics 2015-06-26 V. Moretti , N. Pinamonti

We present an exact, analytic solution of the spin dependent quantum transport problem with spin-orbit interaction in a one-dimensional mesoscopic ring with one input and two output leads. We demonstrate that for appropriate parameters…

Quantum Physics · Physics 2008-01-24 Orsolya Kalman , Peter Foldi , Mihaly G. Benedict , F. M. Peeters

We quantize a relativistic massive complex spin-0 field and a relativistic massive spin-1/2 field on a space-time hyperboloid. We call this procedure point-form canonical quantization. Lorentz invariance of the hyperboloid implies that the…

Mathematical Physics · Physics 2011-10-17 Elmar P. Biernat

We study the scalar quantum field theory on a generic noncommutative two-sphere as a special case of noncommutative curved space, which is described by the deformation quantization algebra obtained from symplectic reduction and parametrized…

High Energy Physics - Theory · Physics 2007-05-23 Chengang Zhou

We construct a scattering theory for harmonic one-forms on Riemann surfaces, obtained from boundary value problems involving systems of curves and the jump problem. We obtain an explicit expression for the scattering matrix in terms of…

Differential Geometry · Mathematics 2025-06-11 Eric Schippers , Wolfgang Staubach

Free scalar field theory on 2 dimensional flat spacetime, cast in diffeomorphism invariant guise by treating the inertial coordinates of the spacetime as dynamical variables, is quantized using LQG type `polymer' representations for the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alok Laddha , Madhavan Varadarajan