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

@article{Betz2001GroundSP, title={Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach}, author={Volker Betz and Fumio Hiroshima and J{\'o}zsef Lőrinczi and Robert Minlos and Herbert Spohn}, journal={Reviews in Mathematical Physics}, year={2001}, volume={14}, pages={173-198} }

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.

## 57 Citations

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