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Annales Henri Poincaré Volume 8 Issue 7

Subject Areas: Mathematical Physics; ; ;
Publisher: SP Birkhäuser Verlag Basel - Springer Journals
ISSN: 1424-0637
SJR: 47

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Journal Article

On Surface-Symmetric Spacetimes with Collisionless and Charged Matter

Tchapnda, Sophonie

2007 Annales Henri Poincaré

doi:10.1007/s00023-007-0333-9

Some future global properties of cosmological solutions for the Einstein–Vlasov–Maxwell system with surface symmetry are presented. Global existence is proved, the homogeneous spacetimes are future complete for causal trajectories, and the same is true for inhomogeneous plane-symmetric solutions...
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Journal Article

A Floquet Operator with Purely Point Spectrum and Energy Instability

Oliveira, César; Simsen, Mariza

2007 Annales Henri Poincaré

doi:10.1007/s00023-007-0334-8

An example of Floquet operator with purely point spectrum and energy instability is presented. In the unperturbed energy eigenbasis its eigenfunctions are exponentially localized.
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Journal Article

The Rotation Number for the Generalized Kronig–Penney Hamiltonians

Niikuni, Hiroaki

2007 Annales Henri Poincaré

doi:10.1007/s00023-007-0335-7

We discuss the one-dimensional Schrödinger operator with generalized point interaction on a lattice. We give a characterization of the band edges of its spectrum by the rotation number.
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Journal Article

Global Dispersive Solutions for the Gross–Pitaevskii Equation in Two and Three Dimensions

Gustafson, Stephen; Nakanishi, Kenji; Tsai, Tai-Peng

2007 Annales Henri Poincaré

doi:10.1007/s00023-007-0336-6

We study asymptotic behaviour at time infinity of solutions close to the non-zero constant equilibrium for the Gross–Pitaevskii equation in two and three spatial dimensions. We construct a class of global solutions with prescribed dispersive asymptotic behavior, which is given in terms of the...
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Journal Article

The Bipolaron in the Strong Coupling Limit

Miyao, Tadahiro; Spohn, Herbert

2007 Annales Henri Poincaré

doi:10.1007/s00023-007-0337-5

The bipolaron are two electrons coupled to the elastic deformations of an ionic crystal. We study this system in the Fröhlich approximation. If the Coulomb repulsion dominates, the lowest energy states are two well separated polarons. Otherwise the electrons form a bound pair. We prove the...
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Journal Article

Distant Perturbations of the Laplacian in a Multi-Dimensional Space

Borisov, Denis

2007 Annales Henri Poincaré

doi:10.1007/s00023-007-0338-4

We consider the Laplacian in $${\mathbb{R}}^{n}$$ perturbed by a finite number of distant perturbations that are abstract localized operators. We study the asymptotic behaviour of the discrete spectrum as the distances between perturbations tend to infinity. The main results are a convergence...
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Journal Article

Spectral Analysis for Adjacency Operators on Graphs

Măntoiu, Marius; Richard, Serge; Aldecoa, Rafael

2007 Annales Henri Poincaré

doi:10.1007/s00023-007-0339-3

We put into evidence graphs with adjacency operator whose singular subspace is prescribed by the kernel of an auxiliary operator. In particular, for a family of graphs called admissible, the singular continuous spectrum is absent and there is at most an eigenvalue located at the origin. Among...
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Journal Article

Erratum to “Resonance Free Domains for Non Globally Analytic Potentials” Ann. Henri Poincaré 3(4) (2002), 739–756

Martinez, André

2007 Annales Henri Poincaré

doi:10.1007/s00023-007-0340-x

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