THEORY OF THE MANY-BODY BOSE SYSTEM
Final rept. for 16 Jun 1959-30 Jun 1963
WESTERN RESERVE UNIV CLEVELAND OH
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The purpose of the work was to study the collective elementary excitations, as well as the ground state properties, of the non-relativistic many-body system of bosons interacting with short range forces. The ultimate aim is the theory of superfluid helium, and the work therefore was concerned with avoiding the limitations to low density andor weak forces which characterize the Bogoliubov theory of the non-ideal Bose gas and those treatments which derive from it. In contrast to the fermion case, where the statistics tend to suppress the many-particle correlation effects of short range forces, there is in the boson case no reason to suppose that a free particle or pair approximation provides an adequate starting point for a perturbation procedure, except in the low density limit. The basic approach, therefore, was to explore the use of field theoretic representations which include from the start at least some collective many-body effects of the strong short-range interaction.
- Nuclear Physics and Elementary Particle Physics