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

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

2001-06-18

arxiv.org/abs/math-ph/0106015v1

Physics

Mathematical Physics

26 pages

Scientific paper

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 the position space distribution of the particle.

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