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 (74K, LaTeX 2e) 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.

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