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Nonrelativistic limit of a Dirac polaron in relativistic quantum electrodynamics
"... A quantum system of a Dirac particle interacting with the quantum radiation field is considered in the case where no external potentials exist. Then the total momentum of the system is conserved and the total Hamiltonian is unitarily equivalent to the direct integral R3 H(p)dp of a family of selfa ..."
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Cited by 5 (1 self)
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adjoint operators H(p) acting in the Hilbert space ⊕4Frad, where Frad is the Hilbert space of the quantum radiation field. The fibre operator H(p) is called the Hamiltonian of the Dirac polaron with total momentum p ∈ R3. The main result of this paper is concerned with the nonrelativistic (scaling) limit of H
Asymptotic preserving schemes for the KleinGordon equation in the nonrelativistic limit regime
 Numer. Math
"... Abstract. — We consider the KleinGordon equation in the nonrelativistic limit regime, i.e. the speed of light c tending to infinity. We construct an asymptotic expansion for the solution with respect to the small parameter depending on the inverse of the square of the speed of light. As the first ..."
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Cited by 8 (0 self)
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Abstract. — We consider the KleinGordon equation in the nonrelativistic limit regime, i.e. the speed of light c tending to infinity. We construct an asymptotic expansion for the solution with respect to the small parameter depending on the inverse of the square of the speed of light. As the first
Research Article The NonRelativistic Limit for the eMHD Equations
"... Copyright © 2014 H. Wang and J. Zhao.This is an open access article distributed under theCreative CommonsAttribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We investigate the nonrelativistic limit for the ..."
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Copyright © 2014 H. Wang and J. Zhao.This is an open access article distributed under theCreative CommonsAttribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We investigate the nonrelativistic limit
UBECMPF05/34 TohoCP0578 hepth/0512146 Brane Dualities in Nonrelativistic Limit
, 2005
"... We analyze brane dualities in the nonrelativistic limit of the worldvolume actions. In particular we have analyzed how the nonrelativistic M2brane is related via these dualities to nonrelativistic D2brane, nonrelativistic IIA fundamental string and also, by using Tduality, to nonrelativistic ..."
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We analyze brane dualities in the nonrelativistic limit of the worldvolume actions. In particular we have analyzed how the nonrelativistic M2brane is related via these dualities to nonrelativistic D2brane, nonrelativistic IIA fundamental string and also, by using Tduality, to nonrelativistic
Infinite dimensional covariance and non relativistic limits in time dependent theories
, 2006
"... We give here some account of investigations for the possible role of infinite dimensional Lie algebras, whose simplest example is the classical Virasoro algebra, in time dependent systems or anisotropic statistical models. We expect a central extension to arise due to quantum corrections, but we fir ..."
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first define the classical objects and so called ”primary fields ” transformation laws in order to be able to identify it precisely. The issue of non relativistic limit (negligible Compton wave length, or very big speed of light) of Minkovskian field theories is also of importance here.
THE NONRELATIVISTIC LIMIT OF THE EULER NORDSTRÖM SYSTEM WITH COSMOLOGICAL CONSTANT
, 810
"... Abstract. In this paper the author studies the singular limit c → ∞ of the family of EulerNordström systems indexed by the parameters κ and c (ENc κ), where κ2> 0 is the cosmological constant and c is the speed of light. Using Christodoulou’s techniques to generate energy currents, the author d ..."
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Cited by 7 (7 self)
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Abstract. In this paper the author studies the singular limit c → ∞ of the family of EulerNordström systems indexed by the parameters κ and c (ENc κ), where κ2> 0 is the cosmological constant and c is the speed of light. Using Christodoulou’s techniques to generate energy currents, the author
Nonrelativistic limit of a Dirac particle interacting with the quantum radiation field
, 2002
"... The nonrelativistic (scaling) limit of a Hamiltonian of a Dirac particle interacting with the quantum radiation field yields a selfadjoint extension of the PauliFierz Hamiltonian with spin 1/2 in nonrelativistic quantum electrodynamics. ..."
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The nonrelativistic (scaling) limit of a Hamiltonian of a Dirac particle interacting with the quantum radiation field yields a selfadjoint extension of the PauliFierz Hamiltonian with spin 1/2 in nonrelativistic quantum electrodynamics.
NonRelativistic Limit of Dirac Equations in Gravitational Field and Quantum Effects of Gravity, (has been accepted by Commun. Theor
"... Based on unified theory of electromagnetic interactions and gravitational interactions, the nonrelativistic limit of the equation of motion of a charged Dirac particle in gravitational field is studied. From the Schrodinger equation obtained from this nonrelativistic limit, we could see that the c ..."
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Cited by 2 (1 self)
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Based on unified theory of electromagnetic interactions and gravitational interactions, the nonrelativistic limit of the equation of motion of a charged Dirac particle in gravitational field is studied. From the Schrodinger equation obtained from this nonrelativistic limit, we could see
Non Relativistic Limit of a Model of Fermions interacting through a ChernSimons Field A.J. da Silva ∗
, 1999
"... We study the non relativistic limit of a Model of Fermions interacting through a ChernSimons Field, from a perspective that resembles the Wilson’s Renormalization Group approach, instead of the more usual approach found in most texts of Field Theory. The solution of some difficulties, and a new und ..."
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We study the non relativistic limit of a Model of Fermions interacting through a ChernSimons Field, from a perspective that resembles the Wilson’s Renormalization Group approach, instead of the more usual approach found in most texts of Field Theory. The solution of some difficulties, and a new
Results 11  20
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91,483