Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Mitrouskas, David"'
Autor:
Cárdenas, Esteban, Mitrouskas, David
We consider a tracer particle coupled to a Bose scalar field and study the regime where the field's propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the time-evolved wav
Externí odkaz:
http://arxiv.org/abs/2405.05251
We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose-Einstein condensation. The binding energy is defined as the energy it takes to remove one particle from the gas. In this article, we prove an asymptotic exp
Externí odkaz:
http://arxiv.org/abs/2307.13115
Autor:
Mitrouskas, David, Pickl, Peter
We consider $N$ trapped bosons in the mean-field limit with coupling constant $\lambda_N=1 / (N-1)$. The ground state of such systems exhibits Bose--Einstein condensation. We prove that the probability of finding $\ell$ particles outside the condensa
Externí odkaz:
http://arxiv.org/abs/2307.11062
Autor:
Brooks, Morris, Mitrouskas, David
We consider the confined Fr\"ohlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived through a two-fold perturbation approach, involving
Externí odkaz:
http://arxiv.org/abs/2306.16373
We consider the time evolution of the renormalized Nelson model, which describes $N$ bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles $N\gg 1$ with coupling constant proportional to $N^{-1/2}$. First, we
Externí odkaz:
http://arxiv.org/abs/2305.06722
We consider a gas of N bosons with interactions in the mean-field scaling regime. We review a recent proof of the asymptotic expansion of its spectrum and eigenstates and two applications of this result, namely the derivation of an Edgeworth expansio
Externí odkaz:
http://arxiv.org/abs/2304.12910
Autor:
Mitrouskas, David, Seiringer, Robert
Publikováno v:
Pure Appl. Analysis 5 (2023) 973-1008
We study the spectrum of the Fr\"ohlich Hamiltonian for the polaron at fixed total momentum. We prove the existence of excited eigenvalues between the ground state energy and the essential spectrum at strong coupling. In fact, our main result shows t
Externí odkaz:
http://arxiv.org/abs/2211.03606
For the Fr\"ohlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the Fr\"ohlich Hamiltonian and
Externí odkaz:
http://arxiv.org/abs/2206.14708
Publikováno v:
Forum Math. Sigma 11:e49, 1-52 (2023)
We consider the large polaron described by the Fr\"ohlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal para
Externí odkaz:
http://arxiv.org/abs/2203.02454
We study the time evolution of the Nelson model in a mean-field limit in which N non-relativistic bosons weakly couple (w.r.t. the particle number) to a positive or zero mass quantized scalar field. Our main result is the derivation of the Bogoliubov
Externí odkaz:
http://arxiv.org/abs/2110.00458