Zobrazeno 1 - 10
of 228
pro vyhledávání: '"Duerr, D."'
The classical electrodynamic two-body problem has been a long standing open problem in mathematics. For motion constrained to the straight line, the interaction is similar to that of the two-body problem of classical gravitation. The additional compl
Externí odkaz:
http://arxiv.org/abs/1603.05115
Autor:
Ferialdi, L., Dürr, D.
Publikováno v:
J. Math. Phys. 57, 062101 (2016)
We study a harmonic system coupled to chain of first neighbor interacting oscillators. After deriving the exact dynamics of the system, we prove that one can effectively describe the exact dynamics by considering a suitable shorter chain. We provide
Externí odkaz:
http://arxiv.org/abs/1508.07860
Autor:
Ferialdi, L., Dürr, D.
We analyze a system coupled to a bath of independent harmonic oscillators. We transform the bath in chain structure by solving an inverse eigenvalue problem. We solve the equations of motion for the collective variables defined by this transformation
Externí odkaz:
http://arxiv.org/abs/1502.03668
Publikováno v:
Phys. Rev. Lett. 111, 210401 (2013)
The linearity of quantum mechanics leads, under the assumption that the wave function offers a complete description of reality, to grotesque situations famously known as Schroedinger's cat. Ways out are either adding elements of reality or replacing
Externí odkaz:
http://arxiv.org/abs/1303.4284
We present an approximate model of Wheeler-Feynman electrodynamics for which uniqueness of solutions is proved. It is simple enough to be instructive but close enough to Wheeler-Feynman electrodynamics such that we can discuss its natural type of ini
Externí odkaz:
http://arxiv.org/abs/1212.6285
We establish global existence and uniqueness of the dynamics of classical electromagnetism with extended, rigid charges and fields which need not to be square integrable. We consider also a modified theory of electromagnetism where no self-fields occ
Externí odkaz:
http://arxiv.org/abs/1009.3105
We study the equations of Wheeler-Feynman electrodynamics which is an action-at-a-distance theory about world-lines of charges that interact through their corresponding advanced and retarded Li\'enard-Wiechert field terms. The equations are non-linea
Externí odkaz:
http://arxiv.org/abs/1009.3103
Publikováno v:
J.Math.Phys.51:122301,2010
We construct the time-evolution for the second quantized Dirac equation subject to a smooth, compactly supported, time dependent electromagnetic potential and identify the degrees of freedom involved. Earlier works on this (e.g. Ruijsenaars) observed
Externí odkaz:
http://arxiv.org/abs/0906.0046
Publikováno v:
J. Phys. Chem. A, 111, 41, 10325 - 10330, 2007
We describe the advantages and disadvantages of numerical methods when Bohmian trajectory-grids are used for numerical simulations of quantum dynamics. We focus on the crucial non crossing property of Bohmian trajectories, which numerically must be p
Externí odkaz:
http://arxiv.org/abs/quant-ph/0701190
Recently the so called Spontaneous Pair Creation of electron positron pairs in a strong external field has been rigorously established. We give here the heuristic core of the proof, since the results differ from those given in earlier works.
Externí odkaz:
http://arxiv.org/abs/quant-ph/0602152