Výsledky vyhledávání - "Minlos, Robert"

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On point-like interaction of three particles: two fermions and another particle. II

Autor: Minlos, Robert

This work continues \cite{bib1} where the construction of Hamiltonian $H$ for the system of three quantum particles is considered. Namely the system consists of two fermions with mass $1$ and another particle with mass $m>0$. In the present paper, li

Externí odkaz: http://arxiv.org/abs/1311.3925

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Lower Spectral Branches of a Spin-Boson Model

Autor: Angelescu, Nicolae, Minlos, Robert, Ruiz, Jean, Zagrebnov, Valentin

Publikováno v: Journal of Mathematical Physics 49 (2008) 102105

We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bosons, if their spectrum is bounded below by a positive constant. We sh

Externí odkaz: http://arxiv.org/abs/0704.3445

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Lower Spectral Branches of a Particle Coupled to a Bose Field

Autor: Angelescu, Nicolae, Minlos, Robert, Zagrebnov, Valentin

The structure of the lower part (i.e. $\epsilon $-away below the two-boson threshold) spectrum of Fr\"ohlich's polaron Hamiltonian in the weak coupling regime is obtained in spatial dimension $d\geq 3$. It contains a single polaron branch defined for

Externí odkaz: http://arxiv.org/abs/math-ph/0505009

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Infrared regular representation of the three dimensional massless Nelson model

Autor: Lorinczi, Jozsef, Minlos, Robert A., Spohn, Herbert

We prove that in the Euclidean representation of the three dimensional massless Nelson model the t = 0 projection of the interacting measure is absolutely continuous with respect to a Gaussian measure with suitably adjusted mean. We also determine th

Externí odkaz: http://arxiv.org/abs/math-ph/0107004

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Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach

Autor: Betz, Volker, Hiroshima, Fumio, Lorinczi, Jozsef, Minlos, Robert A., Spohn, Herbert

We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and momentum space, on the distribution of the number of bosons, and on th

Externí odkaz: http://arxiv.org/abs/math-ph/0106015

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The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field

Autor: Lorinczi, Jozsef, Minlos, Robert A., Spohn, Herbert

Publikováno v: Annales Henri Poincare 3 (2002) 269-295

We prove that Nelson's massless scalar field model is infrared divergent in three dimensions. In particular, the Nelson Hamiltonian and the Hamiltonian obtained from Euclidean quantization are not unitarily equivalent. In contrast, for dimensions hig

Externí odkaz: http://arxiv.org/abs/math-ph/0011043

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