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Ground state energy of Bose particle system

Journal Article · · Progr. Theoret. Phys. (Kyoto)
DOI:https://doi.org/10.1143/PTP.20.785· OSTI ID:4232980
The ground state energy of the Bose particle system at low densities is investigated by using a method based on summing the terms of conventional perturbation series, giving rise to the lowest order with respect to density. The summation is shown to be greatly simplified if the scattering matrix is introduced, and a simple example is demonstrated for the repulsive square well potential by calculating a few terms of the series, first directly and secondly with the aid of scattering matrix. The final result is shown to be valid both for weak and strong interactions and the calculation is carried out analytically for some types of potential function. The connection of the method with the pseudopotential method and with the Brueckner theory is investigated, and some problems associated with the attractive interactions are discussed. (auth)
Research Organization:
Tokyo Inst. of Tech.
Sponsoring Organization:
USDOE
NSA Number:
NSA-13-016369
OSTI ID:
4232980
Journal Information:
Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Vol. Vol: 20
Country of Publication:
Country unknown/Code not available
Language:
English

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Related Subjects

BOSONS
BRUECKNER METHOD
DENSITY
ENERGY LEVELS
INTERACTIONS
MANY BODY PROBLEM
MATRICES
NUCLEAR MODELS
PERTURBATION THEORY
PHYSICS AND MATHEMATICS
SCATTERING