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 sort 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 life facts for the Gravitating BPS Monopole

Todd A. Oliynyk

233-252

On a attribute preliminary price challenge in Plasma Physics

Simone Calogero

253-301

Quantum Backreaction (Casimir) influence II. Scalar and Electromagnetic Fields

Andrzej Herdegen

303-333

Scattering of Magnetic side 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 move 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 kind Conjectures

Vincent Pasquier

423-446

Algebraic Topology for minimum Cantor Sets

Jean-Marc Gambaudo and Marco Martens

447-469

Quantum detailed 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 idea for the Quantum Hénon-Heiles Model

Emanuela Caliceti

583-601

A normal Resonance idea in response to 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 damaging Spectrum

Oleg Safronov

791-807

Topological components Derived from Bohmian Mechanics

Detlef Dürr, Sheldon Goldstein, James Taylor, Roderich Tumulka and Nino Zanghì

809-898

Fermi Liquid habit within the 2nd 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 learn of the Hankel Transform

Jean-François Burnol

1035-1064

Instabilité Spectrale Semiclassique d’Opérateurs Non-Autoadjoints II

Mildred Hager

1065-1083

The AC Stark influence, Time-Dependent Born–Oppenheimer Approximation, and Franck–Condon Factors

George A. Hagedorn, Vidian Rousse and Steven W. Jilcott

1085-1098

Upper Bounds at the fee 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 consciousness 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 ok. Dobrev and Stephen G. Mihov

1375-1393

Bosonization and Vertex Algebras with Defects

M. Mintchev and P. Sorba

1395-1428

Algebraic illustration of Correlation services 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 suggestions of continuous Rational Semi-Dynamical mirrored image Equations

Jean Avan and Geneviève Rollet

1477-1529

The Schrödinger-Virasoro Lie team and Algebra: illustration thought and Cohomological Study

Claude Roger and Jérémie Unterberger

1531-1540

The Six-Vertex version at Roots of solidarity and a few maximum 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 conception for Heisenberg Zigzag Ladder: flooring country strength 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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**Extra resources for Annales Henri Poincaré - Volume 7**

**Sample text**

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). [28] C. Tix, Lower bound for the ground state energy of the no-pair Hamiltonian, Phys. Lett. B 405 (3–4), 293–296 (1997). [29] C. Tix, Self-adjointness and spectral properties of a pseudo-relativistic Hamiltonian due to Brown and Ravenhall, Preprint, mp-arc: 97–441, 1997.

3). 1. Then the following strong limit exists s − lim W (t, s) = V (t, s) λ→0 uniformly for t, s in compact intervals. 23) Vol. 7, 2006 Partially Classical Limit of the Nelson Model 41 Proof. Let I be a compact interval and let t, s ∈ I. 4. Let σ > σ0 and Ψ ∈ D(H0 ). 1. 25) with CI uniform in σ > σ0 and in λ, |λ| ≤ λ0 . 26) with CI uniform in λ, |λ| ≤ λ0 and in σ > σ0 . 2, part 2, we obtain (Z(t, s) − V (t, s)) Ψ ≤ CI λ1/2 (1 + H0 )1/2 Ψ . 27) From the identity W (t, s) − V (t, s) = Q Z(t, s)Q∗ − V (t, s) = (Q − 1)Z(t, s) + Q Z(t, s)(Q∗ − 1) + Z(t, s) − V (t, s) 42 J.

Hardekopf and J. Sucher, Critical coupling constants for relativistic wave equations and vacuum breakdown in quantum electrodynamics, Phys. Rev. A 31 (4), 2020–2029 (1985). [13] A. H. Jakubaßa-Amundsen, On the positivity of the JansenHeß operator for arbitrary mass, Ann. Henri Poincar´e 4 (6), 1083–1099 (2003). H. Jakubaßa-Amundsen, The essential spectrum of relativistic one-electron ions in the Jansen-Hess model, Math. Phys. Electron. J. 8, Paper 3, 30 pp. (electronic) (2002). H. Jakubassa-Amundsen, Pseudorelativistic operator for a two-particle ion.