Zobrazeno 1 - 10
of 217
pro vyhledávání: '"Israel Michael Sigal"'
Publikováno v:
Journal of Evolution Equations
Journal of Evolution Equations, Springer Verlag, 2022, 22 (2), ⟨10.1007/s00028-022-00799-2⟩
Journal of Evolution Equations, Springer Verlag, 2022, 22 (2), ⟨10.1007/s00028-022-00799-2⟩
In this article, we use quasifree reduction to derive the time-dependent Hartree-Fock-Bogoliubov (HFB) equations describing the dynamics of quantum fluctuations around a Bose-Einstein condensate in $\mathbb R^d$. We prove global well-posedness for th
Publikováno v:
Nonlinearity. 33:5246-5271
We consider the non-relativistic Chern-Simons equations proposed by Zhang, Hansen and Kivelson as the mean field theory of the fractional Hall effect. We prove the existence of the vortex lattice solutions (i.e. solution with lattice symmetry and wit
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 37:79-103
We study the Ginzburg-Landau equations on Riemann surfaces of arbitrary genus. In particular: - we construct explicitly the (local moduli space of gauge-equivalent) solutions in a neighbourhood of the constant curvature ones; - classify holomorphic s
Autor:
Israel Michael Sigal
We review very briefly the main mathematical structures and results in some important areas of Quantum Mechanics involving PDEs and formulate open problems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d4ae7ac5e370f23b284adcf39ca29d9
Publikováno v:
Physical review letters. 128(15)
The Lieb-Robinson bound asserts the existence of a maximal propagation speed for the quantum dynamics of lattice spin systems. Such general bounds are not available for most bosonic lattice gases due to their unbounded local interactions. Here we est
Publikováno v:
Partial Differential Equations, Spectral Theory, and Mathematical Physics
This paper deals with perturbation theory for discrete spectra of linear operators. To simplify exposition we consider here self-adjoint operators. This theory is based on the Feshbach-Schur map and it has advantages with respect to the standard pert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d4a659d254a37fac1642812a6b52521
https://doi.org/10.4171/ecr/18-1/5
https://doi.org/10.4171/ecr/18-1/5
Publikováno v:
Letters in Mathematical Physics. 111
For Schroedinger equations with both time-independent and time-dependent Kato potentials, we give a simple proof of the maximal speed bound. The latter states that the probability to find the quantum system outside the ball of radius proportional to
Publikováno v:
Journal of Nonlinear Science. 31
We introduce a geometrical extension of the FitzHugh–Nagumo equations describing propagation of electrical impulses in nerve axons. In this extension, the axon is modeled as a warped cylinder, rather than a straight line, as is usually done. Nearly
We consider the dynamics of the Bose-Hubbard model on general lattices and prove a Lieb-Robinson bound for observables whose supports are separated by an initially almost particle-free region. We further obtain a maximal velocity bound for particle t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::550b70d8b59871921427056e9677652d