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91.
We study the scattering theory for the Maxwell-Schrödinger equations
under the Coulomb gauge and the Lorentz gauge conditions in three space dimensions.
These equations belong to the borderline between the short range case and
the long range one. We prove the existence of modified wave operators for those
equations for small scattered states with no restriction on the support of the Fourier
transform of them.
Communicated by Vincent Rivasseau
submitted 14/11/02, accepted: 29/04/03 相似文献
92.
Damascelli A Lu DH Shen KM Armitage NP Ronning F Feng DL Kim C Shen ZX Kimura T Tokura Y Mao ZQ Maeno Y 《Physical review letters》2000,85(24):5194-5197
The electronic structure of Sr2RuO4 is investigated by high angular resolution ARPES at several incident photon energies. We address the controversial issues of the Fermi surface (FS) topology and the van Hove singularity at the M point, showing that a surface state and the replica of the primary FS due to sqrt[2]xsqrt[2] surface reconstruction are responsible for previous conflicting interpretations. The FS thus determined by ARPES is consistent with the de Haas-van Alphen results, and it provides additional information on the detailed shape of the alpha, beta, and gamma sheets. 相似文献
93.
Stefan Hollands Akihiro Ishibashi Robert M. Wald 《Communications in Mathematical Physics》2007,271(3):699-722
A key result in the proof of black hole uniqueness in 4-dimensions is that a stationary black hole that is “rotating”—i.e.,
is such that the stationary Killing field is not everywhere normal to the horizon—must be axisymmetric. The proof of this
result in 4-dimensions relies on the fact that the orbits of the stationary Killing field on the horizon have the property
that they must return to the same null geodesic generator of the horizon after a certain period, P. This latter property follows, in turn, from the fact that the cross-sections of the horizon are two-dimensional spheres.
However, in spacetimes of dimension greater than 4, it is no longer true that the orbits of the stationary Killing field on
the horizon must return to the same null geodesic generator. In this paper, we prove that, nevertheless, a higher dimensional
stationary black hole that is rotating must be axisymmetric. No assumptions are made concerning the topology of the horizon
cross-sections other than that they are compact. However, we assume that the horizon is non-degenerate and, as in the 4-dimensional
proof, that the spacetime is analytic. 相似文献
94.
95.
We show that the Nomura algebra of the nonsymmetric Hadamard model coincides with the Bose–Mesner algebra of the directed Hadamard graph. 相似文献
96.
97.
Akihiro Furuta 《Tetrahedron letters》2008,49(1):110-113
A combination of a catalyst derived from ferrous acetate and sodium thiophene-2-carboxylate efficiently promoted hydrosilylation of aromatic and aliphatic ketones to give the corresponding secondary alcohols in high yields with extremely high selectivity. 相似文献
98.
99.
Akihiro Tohsaki 《Frontiers of Physics》2011,6(3):320-336
We explain how to treat a microscopic wave function of ??-condensation taking a 3??-nucleus as a typical example. The wave function has been originally proposed ten years before by Horiuchi, R?pke, Schuck and the present author (Phys. Rev. Lett., 2001, 87: 192501). The microscopic model, which fully takes into account the Pauli principle between all the constituent nucleons, effective internucleon forces and the Coulomb force, can play an important role in reproducing an ??-gas nature thanks to ??-condensation as an excited state of ??-like nuclei. An essential point of the wave function is to describe their ground state simultaneously. We study its typical features by giving an analytical formula of the norm kernel and the kernel concerning the one-body operator for 3??-condensation. 相似文献
100.
The uniqueness of a binary doubly-even self-dual [48, 24, 12] code is used to prove that a self-orthogonal 5-(48, 12, 8) design, as well as some of its derived and residual designs, including a quasi-symmetric 2-(45, 9, 8) design, are all unique up to isomorphism.Received November 5, 2003 相似文献