The Feynman–Kac Representation and Dobrushin–Lanford–Ruelle States of a Quantum Bose-Gas

Autor: Izabella Stuhl, Mark Kelbert, Yuri Suhov

Publikováno v: Mathematics, Vol 8, Iss 1683, p 1683 (2020)
Mathematics
Volume 8
Issue 10

This paper focuses on infinite-volume bosonic states for a quantum particle system (a quantum gas) in Rd. The kinetic energy part of the Hamiltonian is the standard Laplacian (with a boundary condition at the border of a `box&rsquo
). The partic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7039167941e6542eafdd9c8ab1970e7
https://www.mdpi.com/2227-7390/8/10/1683

A Mermin--Wagner theorem on Lorentzian triangulations with quantum spins

Autor: Anatoly Yambartsev, Yu. M. Suhov, Mark Kelbert

Publikováno v: Braz. J. Probab. Stat. 28, no. 4 (2014), 515-537
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We consider infinite random casual Lorentzian triangulations emerging in quantum gravity for critical values of parameters. With each vertex of the triangulation we associate a Hilbert space representing a bosonic particle moving in accordance with s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5599416c2059875689075957ce512b7

A quantum Mermin-Wagner theorem for quantum rotators on two-dimensional graphs.

Autor: Kelbert, Mark, Suhov, Yurii

Publikováno v: Journal of Mathematical Physics; Mar2013, Vol. 54 Issue 3, p033301-033301-24, 1p