Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Nourrigat, Jean"'
Autor:
Amour, Laurent, Nourrigat, Jean
This article is concerned with a system of particles interacting with the quantized electromagnetic field (photons) in the non relativistic Quantum Electrodynamics (QED) framework and governed by the Pauli-Fierz Hamiltonian. We are interested not onl
Externí odkaz:
http://arxiv.org/abs/2212.09548
Autor:
Amour, Laurent, Nourrigat, Jean
The purpose of this article is to derive a Markovian approximation of the reduced time dynamics of observables for the Pauli-Fierz Hamiltonian with a precise control of the error terms. In that aim, we define a Lindblad operator associated to the cor
Externí odkaz:
http://arxiv.org/abs/2102.03621
Autor:
Amour, Laurent, Nourrigat, Jean
The purpose of this article is to give different interpretations of the first non vanishing term (quadratic) of the ground state asymptotic expansion for a spin system in quantum electrodynamics, as the spin magnetic moments go to $0$. One of the int
Externí odkaz:
http://arxiv.org/abs/2007.06033
Autor:
Amour, Laurent, Nourrigat, Jean
This article is concerned with the time evolution of a $\frac{1}{2}$-spin particle in a constant external magnetic field with the quantized electromagnetic field (photons). We derive a Lindblad (or GKLS) type approximation of the spin dynamics togeth
Externí odkaz:
http://arxiv.org/abs/1911.10481
The purpose of this article is to prove that the anti-Wick symbol of an operator mapping $ {\cal S}(\R^n)$ into ${\cal S}'(\R^n)$, which is generally not a tempered distribution, can still be defined as a Gelfand-Shilov generalized function. This res
Externí odkaz:
http://arxiv.org/abs/1905.09249
The purpose of this article is to give a result of localization in space of the ground states photons, in some sense, of a Hamiltonian modelling nuclear magnetic resonance in quantum electrodynamics. The asymptotics at infinity obtained for the densi
Externí odkaz:
http://arxiv.org/abs/1904.01489
Autor:
Amour, Laurent, Nourrigat, Jean
The first purpose of this article is to provide conditions for a bounded operator in $L^2(\R^n)$ to be the Weyl (resp. anti-Wick) quantization of a bounded continuous symbol on $\R^{2n}$. Then, explicit formulas for the Weyl (resp. anti-Wick) symbol
Externí odkaz:
http://arxiv.org/abs/1806.04898
This article is concerned with compositions in the context of three standard quantizations in the Fock space framework, namely, anti-Wick, Wick and Weyl quantizations. The first one is a composition of states and is closely related to the standard sc
Externí odkaz:
http://arxiv.org/abs/1805.00758
Autor:
Helffer, B, Nourrigat, Jean
The aim of this paper is to review and compare the spectral properties of (the closed extension of) --$\Delta$ + U (V $\ge$ 0) and --$\Delta$ + iV in L 2 (R^d) for C $\infty$ real potentials U or V with polynomial behavior. The case with magnetic fie
Externí odkaz:
http://arxiv.org/abs/1709.08542
In this article, we are interested in a spin model including the quantized electromagnetic field (photons). With this model of quantum electrodynamics (QED) related to nuclear magnetic resonance (NMR) we give explicit quantum radiative corrections of
Externí odkaz:
http://arxiv.org/abs/1709.02771