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The Sine-Gordon equation is integrable in (1+1)-dimensional Minkowski and in 2-dimensional Euclidean spaces. In each case, it has a Lax pair, and a Hirota algorithm generates its N soliton solutions for all N greater than or equal to 1. The…

Exactly Solvable and Integrable Systems · Physics 2014-05-02 Yair Zarmi

Quantum entanglement of the Minkowski vacuum state between left and right Rindler wedges generates thermal behavior in the right Rindler wedge, which is known as the Unruh effect. In this letter, we show that there is another consequence of…

High Energy Physics - Theory · Physics 2017-08-09 Satoshi Iso , Rumi Tatsukawa , Kazushige Ueda , Kazuhiro Yamamoto

A renormalization scheme which relies on energy-momentum and angular momentum balance equations is applied to the derivation of effective equation of motion for a massless point-like charge. Unlike the massive case, the rates of radiated…

Mathematical Physics · Physics 2009-07-22 Yurij Yaremko

The thermal Euclidean Green functions for Photons propagating in the Rindler wedge are computed employing an Euclidean approach within any covariant Feynman-like gauge. This is done by generalizing a formula which holds in the Minkowskian…

High Energy Physics - Theory · Physics 2009-10-30 Valter Moretti

The invariant mass of free particles is used to derive a bound-state equation for the hydrogen atom at rest. This equation has the well-known solutions for the single-particle states. Existence of two-particle bound states, for which the…

General Physics · Physics 2023-08-28 A. I. Agafonov

The processes occurring in the solar atmosphere are diverse and depend on many important factors. For example, from magnetic fields, their sudden changes, from emissions of substance from the depths of the Sun, distribution of shock waves…

Solar and Stellar Astrophysics · Physics 2012-12-11 A. T. Sarsembaeva , N. Zh. Takibayev , K. Kato

Several gage-equivalent forms (including some novel ones) of the Schroedinger equation for a hydrogenlike atom in a time-dependent electric field of a laser pulse are presented. These forms allow to develop a perturbation theory for both…

Atomic Physics · Physics 2007-05-23 Yuri V. Popov , Konstantin A. Kouzakov

Positive frequency Wightman function and vacuum expectation values of the energy-momentum tensor are computed for a massive scalar field with general curvature coupling parameter and satisfying Robin boundary condition on a uniformly…

High Energy Physics - Theory · Physics 2009-11-07 Aram A. Saharian

A pedagogical introduction to the Dirac equation for massive particles in Rindler space is presented. The spin connection coefficients are explicitly derived using techniques from general relativity. We then apply the Lagrange-Green…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David McMahon , Paul M. Alsing , Pedro Embid

We consider the influence of acceleration on the radiative energy shifts of atoms in Minkowski space. We study a two-level atom coupled to a scalar quantum field. Using a Heisenberg picture approach, we are able to separate the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Juergen Audretsch , Rainer Mueller

Wigner rotations and Iwasawa decompositions are manifestations of the internal space-time symmetries of massive and massless particles, respectively. It is shown to be possible to produce combinations of optical filters which exhibit…

Quantum Physics · Physics 2009-11-10 D. Han , Y. S. Kim , Maryln E. Noz

The orientation of the local electron spin quantization axis in momentum space is identified as the most significant physical variable in determining the states of a two-dimensional electron liquid in the presence of Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Chesi , G. Simion , G. F. Giuliani

The Wightman functions in the Rindler portion of Minkowski space-time are presented for any value of the temperature and for massless spin fields up to s=1 and the renormalized stress tensor relative to Minkowski vacuum is discussed. A…

High Energy Physics - Theory · Physics 2009-10-28 Valter Moretti , Luciano Vanzo

The coupling of weak light fields to Rydberg states of atoms under conditions of electromagnetically induced transparency (EIT) leads to the formation of Rydberg polaritons which are quasi-particles with tunable effective mass and…

Quantum Physics · Physics 2013-09-17 Johannes Otterbach , Matthias Moos , Dominik Muth , Michael Fleischhauer

In the present paper, we study the Dirac equation in the background of Minkowski space-time on a light cone. With the help of the coupling of the radial parts, the system of 4 equations is reduced to two different second-order differential…

Mathematical Physics · Physics 2023-08-22 Saman Rahmani , Hossein Panahi , Amerne Najafizade

We analyse quantised scalar, spinor and photon fields in a mechanically rigid cavity that is accelerated in Minkowski spacetime, in a recently-introduced perturbative small acceleration formalism that allows the velocities to become…

Quantum Physics · Physics 2013-09-17 Nicolai Friis , Antony R. Lee , Jorma Louko

We calculate the one-loop vacuum polarization tensor of scalar electrodynamics in a locally de Sitter space-time, endowed with a nearly minimally coupled, light scalar field. We show that the photon dynamics is well approximated by a…

Astrophysics · Physics 2009-11-10 Tomislav Prokopec , Ewald Puchwein

The proposed earlier relativistic mean-field model with hadron masses and coupling constants depending on the $\sigma$-meson field is generalized to finite temperatures. Within this approach we simulate the in-medium behavior of the hadron…

Nuclear Theory · Physics 2008-11-26 A. S. Khvorostukhin , V. D. Toneev , D. N. Voskresensky

In this paper we analyze the thermodynamic properties of a photon gas under the influence of a background electromagnetic field in the context of any nonlinear electrodynamics. Neglecting the self-interaction of photons, we obtain a general…

High Energy Physics - Phenomenology · Physics 2015-06-17 P. Niau Akmansoy , L. G. Medeiros

Transformation equations for the kinetic energy of a tardyon are derived in the limits of classical and of special relativity theory. Two formulas are presented. In the first one the energy of the particle in one of the involved reference…

General Physics · Physics 2011-11-10 Bernhard Rothenstein , Doru Paunescu