TY - JOUR
T1 - Ground state properties of the Nelson Hamiltonian
T2 - A Gibbs measure-based approach
AU - Betz, Volker
AU - Hiroshima, Fumio
AU - Lorinczi, József
AU - Minlos, Robert A.
AU - Spohn, Herbert
N1 - Funding Information:
The author, R. A. Minlos, thanks Zentrum Mathematik of Technische Univer-sität München for warm hospitality and nancial support. He also thanks the Russian Fundamental Research Foundation (grants 99-01-00284 and 00-01-00271), CRDF (grant NRM 1-2085) and DFG (grant 436 RUS 113/485/5) for nancial support. The author, J. Lo}rinczi thanks Schwerpunktprogramm \Interagierende stochastische Systeme von hoher Komplexität" (grant SP 181/12). The author, F. Hiroshima thanks Technische Universität München for kind hospitality. This work was partially supported by the Graduiertenkolleg \Mathematik in ihrer Wechselbeziehung zur Physik" of the LMU Munich and Grant-in-Aid 13740106 for Encouragement of Young Scientists from the Japanese Ministry of Education, Science, Sports and Culture.
PY - 2002
Y1 - 2002
N2 - The Nelson model describes a quantum particle coupled to a scalar Bose field. We study properties of its ground state through functional integration techniques in case the particle is confined by an external potential. 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 the position space distribution of the particle.
AB - The Nelson model describes a quantum particle coupled to a scalar Bose field. We study properties of its ground state through functional integration techniques in case the particle is confined by an external potential. 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 the position space distribution of the particle.
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U2 - 10.1142/S0129055X02001119
DO - 10.1142/S0129055X02001119
M3 - Article
AN - SCOPUS:0036002531
SN - 0129-055X
VL - 14
SP - 173
EP - 198
JO - Reviews in Mathematical Physics
JF - Reviews in Mathematical Physics
IS - 2
ER -