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In this paper, we prove propagation estimates for a massive Dirac equation in flat spacetime. This allows us to construct the asymptotic velocity operator and to analyse its spectrum. Eventually, using this new information, we are able to obtain complete scattering results; that is to say we prove the existence and the asymptotic completeness of the Dollard modified wave operators.

Propagation estimates for N-body Stark hamiltonians

Tadayoshi Adachi (1995)

Annales de l'I.H.P. Physique théorique

Propagation of singularities in many-body scattering

András Vasy (2001)

Annales scientifiques de l'École Normale Supérieure

Propagation of singularities in many-body scattering in the presence of bound states

András Vasy (1999)

Journées équations aux dérivées partielles

In these lecture notes we describe the propagation of singularities of tempered distributional solutions $u \in 𝒮^{'}$ of $(H - λ) u = 0$ , where $H$ is a many-body hamiltonian $H = Δ + V$ , $Δ \geq 0$ , $V = \sum_{a} V_{a}$ , and $λ$ is not a threshold of $H$ , under the assumption that the inter-particle (e.g. two-body) interactions $V_{a}$ are real-valued polyhomogeneous symbols of order $- 1$ (e.g. Coulomb-type with the singularity at the origin removed). Here the term “singularity” provides a microlocal description of the lack of decay at infinity. Our result is then that the...

Properties of non-hermitian quantum field theories

Carl M. Bender (2003)

Annales de l’institut Fourier

In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under $𝒞 𝒫 𝒯$ , but not symmetric under $𝒫$ and $𝒯$ separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are $- φ^{4}$ and $i φ^{3}$ theories. These theories all have unexpected and remarkable properties. I discuss...

Properties of the scattering amplitude for electron-atom collisions

J. M. Combes, A. Tip (1984)

Annales de l'I.H.P. Physique théorique

Proposition de structures géométriques «amplifiées» pour le traitement des systèmes de points matériels

G. Burdet, M. Perrin (1991)

Annales de l'I.H.P. Physique théorique

Propriétés de la matrice de diffusion, 2-amas 2-amas, pour les problèmes à N corps à longue portée

Antoine Bommier (1993)

Annales de l'I.H.P. Physique théorique

Pseudo algebras and pseudo double categories.

Fiore, T.M. (2007)

Journal of Homotopy and Related Structures

Pseudo-bosons from Landau levels.

Bagarello, Fabio (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Puits multiples (d'après des travaux avec B. Helffer)

J. Sjöstrand (1983/1984)

Séminaire Équations aux dérivées partielles (Polytechnique)

Puits multiples pour l'opérateur de Dirac

Xue Ping Wang (1985)

Annales de l'I.H.P. Physique théorique

Pure Jauch-Piron states on von Neumann algebras

Jan Hamhalter (1993)

Annales de l'I.H.P. Physique théorique

Pure states on Jordan algebras

Jan Hamhalter (2001)

Mathematica Bohemica

We prove that a pure state on a $C^{*}$ -algebras or a JB algebra is a unique extension of some pure state on a singly generated subalgebra if and only if its left kernel has a countable approximative unit. In particular, any pure state on a separable JB algebra is uniquely determined by some singly generated subalgebra. By contrast, only normal pure states on JBW algebras are determined by singly generated subalgebras, which provides a new characterization of normal pure states. As an application we contribute...

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Displaying 1381 – 1400 of 2286

Propagating edge states for a magnetic Hamiltonian.

Propagation and local-decay properties for long-range scattering of quantum three-body systems

Propagation des mesures de Wigner à travers un croisement de codimension 1 dégénéré

Propagation estimates for Dirac operators and application to scattering theory

Propagation estimates for N-body Stark hamiltonians

Propagation of singularities in many-body scattering

Propagation of singularities in many-body scattering in the presence of bound states

Properties of non-hermitian quantum field theories

Properties of the scattering amplitude for electron-atom collisions

Proposition de structures géométriques «amplifiées» pour le traitement des systèmes de points matériels

Propriétés de la matrice de diffusion, 2-amas 2-amas, pour les problèmes à N corps à longue portée

Pseudo algebras and pseudo double categories.

Pseudo-bosons from Landau levels.

Puits multiples (d'après des travaux avec B. Helffer)

Puits multiples pour l'opérateur de Dirac

Pure Jauch-Piron states on von Neumann algebras

Pure states on Jordan algebras

$q$ -analog of Gelfand-Graev basis for the noncompact quantum algebra $U_{q} (u (n, 1))$ .

$q$ -boson in quantum integrable systems.

$q$ -deformation of the Virasoro algebra and lattice conformal theories

Currently displaying 1381 – 1400 of 2286