Zobrazeno 1 - 10
of 13 751
pro vyhledávání: '"semiclassical limit"'
Autor:
Smith, Marnie
The asymptotic behaviour of the Hartree equation is studied for short-range interaction potentials near translation-invariant steady states satisfying the Penrose stability condition. Phase-mixing estimates in finite regularity are derived, demonstra
Externí odkaz:
http://arxiv.org/abs/2412.14842
Autor:
Vogel, Martin
The purpose of this note is to review some recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operators subject to small random perturbations.
Comment: A short review
Comment: A short review
Externí odkaz:
http://arxiv.org/abs/2410.04841
Resonance states in quantum chaotic scattering systems have a multifractal structure that depends on their decay rate. We show how classical dynamics describes resonance states of all decay rates in the semiclassical limit. This result for chaotic sc
Externí odkaz:
http://arxiv.org/abs/2408.17088
Autor:
Lenells, Jonatan, Roussillon, Julien
We prove a semiclassical asymptotic formula for the two elements $\mathcal M$ and $\mathcal Q$ lying at the bottom of the recently constructed non-polynomial hyperbolic $q$-Askey scheme. We also prove that the corresponding exponent is a generating f
Externí odkaz:
http://arxiv.org/abs/2407.03464
Autor:
Degano, Gabriele
We study a Schr\"odinger-like equation for the anharmonic potential $x^{2 \alpha}+\ell(\ell+1) x^{-2}-E$ when the anharmonicity $\alpha$ goes to $+\infty$. When $E$ and $\ell$ vary in bounded domains, we show that the spectral determinant for the cen
Externí odkaz:
http://arxiv.org/abs/2409.07866
We compare the bottom of the spectrum of discrete and continuous Schr\"odinger operators with periodic potentials with barriers at the boundaries of their fundamental domains. Our results show that these energy levels coincide in the semiclassical li
Externí odkaz:
http://arxiv.org/abs/2406.05934
For quantum observables $H$ truncated on the range of orthogonal projections $\Pi_N$ of rank $N$, we study the corresponding Weyl symbol in the phase space in the semiclassical limit of vanishing Planck constant $\hbar\to0$ and large quantum number $
Externí odkaz:
http://arxiv.org/abs/2404.15863
In this paper, we rewrite the time-dependent Bogoliubov$\unicode{x2013}$de Gennes equation in an appropriate semiclassical form and establish its semiclassical limit to a two-particle kinetic transport equation with an effective mean-field background
Externí odkaz:
http://arxiv.org/abs/2403.15880