- 01-217 Volker Betz, Fumio Hiroshima, Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
- Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach
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Jun 18, 01
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Abstract. 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.