Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Zied Ammari"'
Autor:
Zied, Ammari, Francis, Nier
This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they c
Externí odkaz:
http://arxiv.org/abs/0711.4128
Publikováno v:
Archive for Rational Mechanics and Analysis. 238:845-900
Gross–Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs emerging naturally from the mean field theory of Bose gases. Their solutions are known to be related to initial value problems, in particular the Gross–Pitaevskii and H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d2cd37fab3bc18b5d762bdd078f3d20
https://doi.org/10.1007/s00205-020-01557-9
https://doi.org/10.1007/s00205-020-01557-9
Autor:
Zied Ammari, A. Ratsimanetrimanana
Publikováno v:
Communications in Contemporary Mathematics
Communications in Contemporary Mathematics, 2021, 23 (5), pp.article n° 2050035. ⟨10.1142/S0219199720500352⟩
Communications in Contemporary Mathematics, World Scientific Publishing, 2021, 23 (5), pp.article n° 2050035. ⟨10.1142/S0219199720500352⟩
Communications in Contemporary Mathematics, 2021, 23 (5), pp.article n° 2050035. ⟨10.1142/S0219199720500352⟩
Communications in Contemporary Mathematics, World Scientific Publishing, 2021, 23 (5), pp.article n° 2050035. ⟨10.1142/S0219199720500352⟩
The Kubo-Martin-Schwinger condition is a widely studied fundamental property in quantum statistical mechanics which characterises the thermal equilibrium states of quantum systems. In the seventies, G. Gallavotti and E. Verboven, proposed an analogue
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3715c6e0cb08465d63ee292e311e5c6
https://hal.science/hal-02104091/document
https://hal.science/hal-02104091/document
Autor:
Zied Ammari, Quentin Liard
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:723-748
In this paper, we give a uniqueness result to a transport equation fulfilled by probability measure on a infinite dimensional Hilbert space. Main arguments are based on projective aspects and a probabilistic representation of the solutions. It extend
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15590982026dcecca14ca3c6f172349b
https://doi.org/10.3934/dcds.2018032
https://doi.org/10.3934/dcds.2018032
Publikováno v:
2017-08. 2017
Tunisian Journal of Mathematics
Tunisian Journal of Mathematics, 2019, 1 (2), pp.221-272. ⟨10.2140/tunis.2019.1.221⟩
Tunisian J. Math. 1, no. 2 (2019), 221-272
Tunisian Journal of Mathematics, Mathematical Science Publishers, 2019, 1 (2), pp.221-272. ⟨10.2140/tunis.2019.1.221⟩
Tunisian Journal of Mathematics
Tunisian Journal of Mathematics, 2019, 1 (2), pp.221-272. ⟨10.2140/tunis.2019.1.221⟩
Tunisian J. Math. 1, no. 2 (2019), 221-272
Tunisian Journal of Mathematics, Mathematical Science Publishers, 2019, 1 (2), pp.221-272. ⟨10.2140/tunis.2019.1.221⟩
International audience; We study, via multiscale analysis, some defect of compactness phenomena which occur in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of mean-field asymptotics and second microlocalized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::445a22ad8e2c8fb2a66f0be6cad7b1bc
http://arxiv.org/abs/1701.06423
http://arxiv.org/abs/1701.06423
Autor:
Marco Falconi, Zied Ammari
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49 (6), pp.5031-5095. 〈10.1137/17M1117598〉
SIAM Journal on Mathematical Analysis, 2017, 49 (6), pp.5031-5095. ⟨10.1137/17M1117598⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49 (6), pp.5031-5095. ⟨10.1137/17M1117598⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49 (6), pp.5031-5095. 〈10.1137/17M1117598〉
SIAM Journal on Mathematical Analysis, 2017, 49 (6), pp.5031-5095. ⟨10.1137/17M1117598⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49 (6), pp.5031-5095. ⟨10.1137/17M1117598⟩
This paper studies the derivation of the nonlinear system of Schrödinger-Klein-Gordon (S-KG) equations, coupled by a Yukawa-Type interaction, from a microscopic quantum field model of nonrelativistic particles interacting with a relativistic scalar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92216c0e6720fc18057f24d1ac92b246
https://hal.archives-ouvertes.fr/hal-01687438/document
https://hal.archives-ouvertes.fr/hal-01687438/document
Publikováno v:
Communications in Mathematical Sciences
Communications in Mathematical Sciences, 2016, 14 (5), pp.1417-1442. ⟨10.4310/CMS.2016.v14.n5.a9⟩
Communications in Mathematical Sciences, International Press, 2016, 14 (5), pp.1417-1442. 〈10.4310/CMS.2016.v14.n5.a9〉
Communications in Mathematical Sciences, International Press, 2016, 14 (5), pp.1417-1442. ⟨10.4310/CMS.2016.v14.n5.a9⟩
Communications in Mathematical Sciences, 2016, 14 (5), pp.1417-1442. ⟨10.4310/CMS.2016.v14.n5.a9⟩
Communications in Mathematical Sciences, International Press, 2016, 14 (5), pp.1417-1442. 〈10.4310/CMS.2016.v14.n5.a9〉
Communications in Mathematical Sciences, International Press, 2016, 14 (5), pp.1417-1442. ⟨10.4310/CMS.2016.v14.n5.a9⟩
We consider the time evolution of quantum states by many-body Schr\"odinger dynamics and study the rate of convergence of their reduced density matrices in the mean field limit. If the prepared state at initial time is of coherent or factorized type
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::637b9a892beaf530d86170e2190c9767
https://hal.science/hal-01090965
https://hal.science/hal-01090965
Autor:
Zied Ammari
Publikováno v:
Journal of Functional Analysis. 208(2):302-359
The scattering theory for a class of fermionic Pauli–Fierz models is considered. We give a proof of the asymptotic completeness of the dynamics in the case of massive fermions. The result applied to the Hamiltonian of a quantized spin- 1 2 Dirac pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a62664aaa04dd40f626c2354f6d2d4db
Autor:
Zied Ammari
Publikováno v:
Letters in Mathematical Physics. 63:241-253
We study the scattering theory of fermion systems subject to a smooth local perturbation with a non-vanishing odd part. We introduce a modified free fermion fields which have an appropriate commutation relations with the free Fock fermion fields. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9769526979b49dca0bf96d3c86716fd7
https://doi.org/10.1023/a:1024405703842
https://doi.org/10.1023/a:1024405703842
Autor:
Marco Falconi, Zied Ammari
Publikováno v:
Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2014, 157 (2), pp.330-362. 〈10.1007/s10955-014-1079-7〉
Journal of Statistical Physics, 2014, 157 (2), pp.330-362. ⟨10.1007/s10955-014-1079-7⟩
Journal of Statistical Physics, Springer Verlag, 2014, 157 (2), pp.330-362. ⟨10.1007/s10955-014-1079-7⟩
Journal of Statistical Physics, Springer Verlag, 2014, 157 (2), pp.330-362. 〈10.1007/s10955-014-1079-7〉
Journal of Statistical Physics, 2014, 157 (2), pp.330-362. ⟨10.1007/s10955-014-1079-7⟩
Journal of Statistical Physics, Springer Verlag, 2014, 157 (2), pp.330-362. ⟨10.1007/s10955-014-1079-7⟩
We consider the classical limit of the Nelson model, a system of stable nucleons interacting with a meson field. We prove convergence of the quantum dynamics towards the evolution of the coupled Klein-Gordon-Schr\"odinger equation. Also, we show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a78d6d4b701f1cc00d774973aa91de6
https://hal.archives-ouvertes.fr/hal-00958725
https://hal.archives-ouvertes.fr/hal-00958725