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pro vyhledávání: '"Griesemer, Marcel"'
Autor:
Griesemer, Marcel, Hofacker, Michael
Publikováno v:
Letters in Mathematical Physics volume 113, Article number: 1 (2023)
Ultracold quantum gases of equal spin fermions with short range interactions are often considered free even in the presence of strongly binding spin-up-spin-down pairs. We describe a large class of many-particle Schr\"odinger operators with short-ran
Externí odkaz:
http://arxiv.org/abs/2201.04362
Autor:
Griesemer, Marcel, Hofacker, Michael
Quantum systems composed of $N$ distinct particles in $\R^2$ with two-body contact interactions of TMS type are shown to arise as limits - in the norm resolvent sense - of Schr\"odinger operators with suitably rescaled pair potentials.
Comment:
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Externí odkaz:
http://arxiv.org/abs/2103.06834
For a system of $N$ bosons in one space dimension with two-body $\delta$-interactions the Hamiltonian can be defined in terms of the usual closed semi-bounded quadratic form. We approximate this Hamiltonian in norm resolvent sense by Schr\"odinger op
Externí odkaz:
http://arxiv.org/abs/1908.05705
Autor:
Griesemer, Marcel, Linden, Ulrich
The Fermi polaron refers to a system of free fermions interacting with an impurity particle by means of two-body contact forces. Motivated by the physicists' approach to this system, the present article develops a general mathematical framework for d
Externí odkaz:
http://arxiv.org/abs/1805.07229
Autor:
Griesemer, Marcel, Wünsch, Andreas
The Nelson Hamiltonian is unitarily equivalent to a Hamiltonian defined through a closed, semibounded quadratic form, the unitary transformation being explicitly known and due to Gross. In this paper we study mapping properties of the Gross-transform
Externí odkaz:
http://arxiv.org/abs/1711.10916
Autor:
Griesemer, Marcel, Linden, Ulrich
Publikováno v:
Lett Math Phys (2018) 108: 1837
A system composed of an ideal gas of N fermions interacting with an impurity particle in two space dimensions is considered. The interaction between impurity and fermions is given in terms of two-body point interactions whose strength is determined b
Externí odkaz:
http://arxiv.org/abs/1709.02691
Autor:
Griesemer, Marcel
The polaron model of H. Fr\"ohlich describes an electron coupled to the quantized longitudinal optical modes of a polar crystal. In the strong-coupling limit one expects that the phonon modes may be treated classically, which leads to a coupled Schr\
Externí odkaz:
http://arxiv.org/abs/1612.00395
We consider the dynamics of the mean-field polaron in the weak-coupling limit of vanishing electron-phonon interaction, $\varepsilon \to 0$. This is a singular limit formally leading to a Schr\"odinger--Poisson system that is equivalent to the nonlin
Externí odkaz:
http://arxiv.org/abs/1609.00954
Autor:
Schmid, Jochen, Griesemer, Marcel
This paper addresses the problem of wellposedness of non-autonomous linear evolution equations $\dot x = A(t)x$ in uniformly convex Banach spaces. We assume that $A(t):D \subset X\to X$, for each $t$ is the generator of a quasi-contractive $C_0$-grou
Externí odkaz:
http://arxiv.org/abs/1501.06092
Autor:
Griesemer, Marcel, Wellig, David
This paper is concerned with Fr\"ohlich polarons subject to external electromagnetic fields in the limit of large electron-phonon coupling. To leading order in the coupling constant, $\sqrt\alpha$, the ground state energy is shown to be correctly giv
Externí odkaz:
http://arxiv.org/abs/1304.2056