Download Annales Henri Poincaré - Volume 7 by Vincent Rivasseau (Chief Editor) PDF

By Vincent Rivasseau (Chief Editor)

Articles during this volume:

1-20
On the T3-Gowdy Symmetric Einstein-Maxwell Equations
Hans Ringström

21-43
Partially Classical restrict of the Nelson Model
Jean Ginibre, Fabio Nironi and Giorgio Velo

45-58
The Douglas-Kroll-Heß process: Convergence and Block-Diagonalization of Dirac Operators
Heinz Siedentop and Edgardo Stockmeyer

59-104
From Repeated to non-stop Quantum Interactions
Stéphane Attal and Yan Pautrat

105-124
Time hold up and Short-Range Scattering in Quantum Waveguides
Rafael Tiedra de Aldecoa

125-143
A Characterization of version Multi-colour Sets
Jeong-Yup Lee and Robert V. Moody

145-160
The Spectrum of Schrödinger Operators with Poisson kind Random Potential
Kazunori Ando, Akira Iwatsuka, Masahiro Kaminaga and Fumihiko Nakano

161-198
Relaxation Time of Quantized Toral Maps
Albert Fannjiang, Stéphane Nonnenmacher and Lech Wołowski

199-232
An lifestyles evidence for the Gravitating BPS Monopole
Todd A. Oliynyk

233-252
On a attribute preliminary worth challenge in Plasma Physics
Simone Calogero

253-301
Quantum Backreaction (Casimir) influence II. Scalar and Electromagnetic Fields
Andrzej Herdegen

303-333
Scattering of Magnetic area States
Christoph Buchendorfer and Gian Michele Graf

335-363
Energetic and Dynamic houses of a Quantum Particle in a Spatially Random Magnetic box with consistent Correlations alongside one Direction
Hajo Leschke, Simone Warzel and Alexandra Weichlein

365-379
Solution of a Mountain cross challenge for the Isomerization of a Molecule with One unfastened Atom
Mathieu Lewin

381-396
High power Asymptotics and hint formulation for the Perturbed Harmonic Oscillator
Alexander Pushnitski and Ian Sorrell

397-421
Quantum Incompressibility and Razumov Stroganov style Conjectures
Vincent Pasquier

423-446
Algebraic Topology for minimum Cantor Sets
Jean-Marc Gambaudo and Marco Martens

447-469
Quantum targeted Ergodicity for Maps at the Torus
Lior Rosenzweig

471-511
Interface Instability less than pressured Displacements
Anna De Masi, Nicolas Dirr and Errico Presutti

513-525
Spectral Shift functionality within the huge Coupling consistent Limit
Mouez Dimassi

527-561
Resolvent Estimates for the Laplacian on Asymptotically Hyperbolic Manifolds
Jean-Marc Bouclet

563-581
Distributional Borel Summability of Perturbation conception for the Quantum Hénon-Heiles Model
Emanuela Caliceti

583-601
A normal Resonance idea in accordance with Mourre’s Inequality
Laura Cattaneo, Gian Michele Graf and Walter Hunziker

603-619
Incompressible Representations of the Birman-Wenzl-Murakami Algebra
Vincent Pasquier

621-660
Long Time movement of NLS Solitary Waves in a Confining Potential
B. Lars G. Jonsson, Jürg Fröhlich, Stephen Gustafson and Israel Michael Sigal

661-687
Stability of Atoms within the Brown–Ravenhall Model
Sergey Morozov and Semjon Vugalter

689-710
Clustering of Eigenvalues on Translation Surfaces
Luc Hillairet

711-730
Circular Symmetry of Pinwheel Diffraction
Robert V. Moody, Derek Postnikoff and Nicolae Strungaru

731-780
Supersymmetric Dirichlet Operators, Spectral Gaps, and Correlations
Oliver Matte

781-789
Multi-dimensional Schrödinger Operators with out detrimental Spectrum
Oleg Safronov

791-807
Topological elements Derived from Bohmian Mechanics
Detlef Dürr, Sheldon Goldstein, James Taylor, Roderich Tumulka and Nino Zanghì

809-898
Fermi Liquid habit within the second Hubbard version at Low Temperatures
G. Benfatto, A. Giuliani and V. Mastropietro

899-931
Asymptotics for the Low-Lying Eigenstates of the Schrödinger Operator with Magnetic box close to Corners
Virginie Bonnaillie-Noël and Monique Dauge

933-973
Spectral Convergence of Quasi-One-Dimensional Spaces
Olaf Post

975-1011
Positive Energy-Momentum Theorem for AdS-Asymptotically Hyperbolic Manifolds
Daniel Maerten

1013-1034
Spacetime Causality within the examine of the Hankel Transform
Jean-François Burnol

1035-1064
Instabilité Spectrale Semiclassique d’Opérateurs Non-Autoadjoints II
Mildred Hager

1065-1083
The AC Stark impact, Time-Dependent Born–Oppenheimer Approximation, and Franck–Condon Factors
George A. Hagedorn, Vidian Rousse and Steven W. Jilcott

1085-1098
Upper Bounds at the expense of Quantum Ergodicity
Roman Schubert

1099-1211
Fractional Hamiltonian Monodromy
Nikolaií N. Nekhoroshev, Dmitrií A. Sadovskií and Boris I. Zhilinskií

1213-1216
Editorial: in Memoriam Daniel Arnaudon
Luc Frappat, Petr Kulish, Eric Ragoucy, Vincent Rivasseau and Paul Sorba

1217-1268
Spectrum and Bethe Ansatz Equations for the Uq(gl(N)) Closed and Open Spin Chains in any Representation
Daniel Arnaudon, N. Crampé, Anastasia Doikou, Luc Frappat and Eric Ragoucy

1269-1325
On the R-Matrix recognition of Yangians and their Representations
Daniel Arnaudon, Alexander Molev and Eric Ragoucy

1327-1349
Sugawara and Vertex Operator buildings for Deformed Virasoro Algebras
Daniel Arnaudon, Jean Avan, Luc Frappat, Eric Ragoucy and Junichi Shiraishi

1351-1373
Exotic Bialgebra S03: Representations, Baxterisation and Applications
Daniel Arnaudon, Amithaba Chakrabarti, Vladimir okay. Dobrev and Stephen G. Mihov

1375-1393
Bosonization and Vertex Algebras with Defects
M. Mintchev and P. Sorba

1395-1428
Algebraic illustration of Correlation capabilities in Integrable Spin Chains
H. Boos, M. Jimbo, T. Miwa, F. Smirnov and Y. Takeyama

1429-1448
Boundary strength of the Open XXZ Chain from New detailed Solutions
Rajan Murgan, Rafael I. Nepomechie and Chi Shi

1449-1462
The Elliptic Scattering thought of the 1/2-XYZ and better Order Deformed Virasoro Algebras
Davide Fioravanti and Marco Rossi

1463-1476
Classification of the strategies of continuous Rational Semi-Dynamical mirrored image Equations
Jean Avan and Geneviève Rollet

1477-1529
The Schrödinger-Virasoro Lie workforce and Algebra: illustration idea and Cohomological Study
Claude Roger and Jérémie Unterberger

1531-1540
The Six-Vertex version at Roots of cohesion and a few optimum Weight Representations of the sl2 Loop Algebra
Tetsuo Deguchi

1541-1554
Weight functionality and Nested Bethe Ansatz
Stanislav Pakuliak

1555-1567
Fusion of Baxter’s Elliptic R-Matrix and the Vertex-Face Correspondence
Hitoshi Konno

1569-1578
Non-Commutative Ricci and Calabi Flows
A. Zuevsky

1579-1590
Mean-Field concept for Heisenberg Zigzag Ladder: flooring country power and Spontaneous Symmetry Breaking
Vagharsh V. Mkhitaryan and Tigran A. Sedrakyan

1591-1600
The Two-Site Bose–Hubbard Model
Jon hyperlinks, Angela Foerster, Arlei Prestes Tonel and Gilberto Santos

1601-1628
Propagators for Noncommutative box Theories
Razvan Gurau, Vincent Rivasseau and Fabien Vignes-Tourneret

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Additional resources for Annales Henri Poincaré - Volume 7

Sample text

Chem. Phys. 121 (22), 10945–10956 (2004). [25] Reinhardt Samzow, Bernd A. Hess, and Georg Jansen, The 2-electron terms of the no-pair Hamiltonian, J. Chem. Phys 96 (2), 1227–1231 (1992). [26] Edgardo Stockmeyer, Electrones Relativistas en un Contexto de la Estabilidad de la Materia, PhD thesis, Facultad de F´ısica de la Pontificia Universidad Cat´olica de Chile, Santiago, Chile, May 2002. [27] J. Sucher, Foundations of the relativistic theory of many-electron atoms, Phys. Rev. A 22 (2), 348–362 (1980).

We consider a small quantum system H0 and another quantum system H which represents either a piece of environment, a measuring apparatus or incoming photons . . We consider the space H0 ⊗ H in order to couple the two systems, an Hamiltonian H on H0 ⊗ H which describes the interaction and the associated unitary evolution during the interval [0, h] of time: IL = e−ihH . This single interaction is therefore described in the Schr¨odinger picture by ρ → IL ρ IL∗ and in the Heisenberg picture by X → IL∗ XIL.

2 For all σ with 0 < σ0 < σ, for all Ψ ∈ D(H0 ), the following estimates hold: 1/2 | Ψ, HIσ0 Ψ | ≤ λ ε H0 Ψ 2 + C ε−1 σ0 Ψ −1/2 | Ψ, H1σ Ψ | ≤ Cλ σ0 1/2 H0 Ψ 1/2 | Ψ, H2σ Ψ | ≤ Cλ2 σ0−1 H0 Ψ 1/2 | Ψ, H3σ Ψ | ≤ λ2 ε H0 Ψ 2 2 2 2 , , + Ψ 2 + C ε−1 σ0−2 Ψ , 2 . Vol. 15)). 4 Let λ0 > 0. Then there exists σ0 > 0 such that for all λ, |λ| ≤ λ0 , 1/2 1) For all σ with σ0 < σ, for all Ψ ∈ D(H0 ), the following estimate holds 1/2 2 | Ψ, (Hσ − H0 )Ψ | ≤ (1/2) H0 Ψ +C Ψ 2 . 1/2 2) For all σ1 , σ2 with σ0 < σ1 < σ2 , for all Ψ ∈ D(H0 ), the following estimate holds 1/2 Ψ, (Hσ1 − Hσ2 )Ψ ≤ ε(σ1 ) H0 Ψ 2 + Ψ 2 , where ε(σ1 ) tends to zero when σ1 tends to infinity.

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