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95,504
The nonrelativistic limit of the NordströmVlasov system
, 2004
"... The NordströmVlasov system provides an interesting relativistic generalization of the VlasovPoisson system in the gravitational case, even though there is no direct physical application. The study of this model will probably lead to a better mathematical understanding of the class of nonlinear s ..."
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Cited by 22 (8 self)
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The NordströmVlasov system provides an interesting relativistic generalization of the VlasovPoisson system in the gravitational case, even though there is no direct physical application. The study of this model will probably lead to a better mathematical understanding of the class of non
ON THE NONRELATIVISTIC LIMIT OF A MODEL IN QUANTUM ELECTRODYNAMICS
, 905
"... Abstract. We consider a (semi)relativistic spin1/2 particle interacting with quantized radiation. The Hamiltonian has the form ˆ HV c: = {c2[(p + A) 2 +σ ·B] + (mc2) 2} 1/2 −mc2 + V + Hf. Assuming that the potential V  is bounded with respect to the momentum p, we show that ˆ HV c converges in ..."
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Cited by 3 (2 self)
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Abstract. We consider a (semi)relativistic spin1/2 particle interacting with quantized radiation. The Hamiltonian has the form ˆ HV c: = {c2[(p + A) 2 +σ ·B] + (mc2) 2} 1/2 −mc2 + V + Hf. Assuming that the potential V  is bounded with respect to the momentum p, we show that ˆ HV c converges
Nonrelativistic Limit of a DiracMaxwell Operator in Relativistic Quantum Electrodynamics
, 2002
"... The nonrelativistic (scaling) limit of a particle eld Hamiltonian H, called a DiracMaxwell operator, in relativistic quantum electrodynamics is considered. It is proven that the nonrelativistic limit of H yields a selfadjoint extension of the PauliFierz Hamiltonian with spin 1=2 in nonrelativ ..."
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Cited by 7 (2 self)
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The nonrelativistic (scaling) limit of a particle eld Hamiltonian H, called a DiracMaxwell operator, in relativistic quantum electrodynamics is considered. It is proven that the nonrelativistic limit of H yields a selfadjoint extension of the PauliFierz Hamiltonian with spin 1=2 in nonrelativistic
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 9 (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
Results 1  10
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95,504