Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Marcel Griesemer"'
Autor:
Marcel Griesemer, Michael Hofacker
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.
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72ee2564f36391a17ee13a05b156325e
Publikováno v:
Mathematical Physics, Analysis and Geometry. 23
For a system of N bosons in one space dimension with two-body δ-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 Schrödinger operators w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f33d4cd44c1fc760f90ea9e570e195b5
https://doi.org/10.1007/s11040-020-09344-4
https://doi.org/10.1007/s11040-020-09344-4
Autor:
Marcel Griesemer, Ulrich Linden
Publikováno v:
Letters in Mathematical Physics. 108:1837-1849
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb4c3b581a0ee079953a35c4b688abb9
https://doi.org/10.1007/s11005-018-1055-2
https://doi.org/10.1007/s11005-018-1055-2
Publikováno v:
Letters in Mathematical Physics. 107:1809-1821
We consider the dynamics of the mean-field polaron in the limit of infinite phonon frequency $$\omega \rightarrow \infty $$ . This is a singular limit formally leading to a Schrodinger–Poisson system that is equivalent to the nonlinear Choquard equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c57e0188dfd972c962cbf7dc8189288f
https://doi.org/10.1007/s11005-017-0969-4
https://doi.org/10.1007/s11005-017-0969-4
Autor:
Jochen Schmid, Marcel Griesemer
Publikováno v:
Mathematische Nachrichten. 290:435-441
This paper addresses the problem of well-posedness of non-autonomous linear evolution equations x=A(t)x in uniformly convex Banach spaces. We assume that A(t):D⊂X→X for each t is the generator of a quasi-contractive, strongly continuous group, wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffb423bfa121a07dc2dc9aa8a04206db
https://doi.org/10.1002/mana.201500052
https://doi.org/10.1002/mana.201500052
Autor:
Ulrich Linden, Marcel Griesemer
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9bc999deb19e381dd57c5aeb16079e73
http://arxiv.org/abs/1805.07229
http://arxiv.org/abs/1805.07229
Autor:
Marcel Griesemer, Jochen Schmid
Publikováno v:
Mathematical Physics, Analysis and Geometry. 17:265-271
This paper is devoted to a comparison of early works of Kato and Yosida on the integration of non-autonomous linear evolution equations \(\dot {x} = A(t)x\) in Banach space, where the domain D of A(t) is independent of t. Our focus is on the regulari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00eeb3ef304dbcd098b000627ccfe15d
https://doi.org/10.1007/s11040-014-9154-5
https://doi.org/10.1007/s11040-014-9154-5
Autor:
Marcel Griesemer
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3d55bda18656d0580f734c1c356ab32
Autor:
Marcel Griesemer, Andreas Wünsch
Publikováno v:
Journal of Mathematical Physics. 59:042111
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26696acc04b9bac4cd21ecde0cb0f144
https://doi.org/10.1063/1.5018579
https://doi.org/10.1063/1.5018579