Inequality Relating the Ground-State Energies of Two and Three Bosons

Ludwig W. Bruch; Katuro Sawada

doi:10.1103/PhysRevLett.30.25

Inequality Relating the Ground-State Energies of Two and Three Bosons

Ludwig W. Bruch and Katuro Sawada

Phys. Rev. Lett. 30, 25 – Published 1 January 1973

Abstract

We report sufficient conditions for the validity of the inequality $E_{0} (3) \leq 3 E_{0} (2)$ for the ground-state energies of two and three nonrelativistic identical bosons interacting via spherically symmetric pair potentials.

Received 11 October 1972

DOI:https://doi.org/10.1103/PhysRevLett.30.25

Authors & Affiliations

Ludwig W. Bruch^* and Katuro Sawada

Department of Physics, Tokyo University of Education, 3-29-1 Otsuka, Bunkyo-ku, Tokyo, Japan

^*Permanent address: Department of Physics, University of Wisconsin, Madison, Wis. 53706. Work of this author supported in part by the National Science Foundation through the U. S.-Japan cooperative Science Program and in part by the Wisconsin Alumni Research Foundation.