Bosons in a shell: Hartree solution

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, , Citation J Sañudo and A F Pacheco 2001 J. Phys. A: Math. Gen. 34 633 DOI 10.1088/0305-4470/34/3/322

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1 Departamento de Física, Universidad de Extremadura, 06071 Badajoz, Spain

2 Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain

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  1. Received 10 August 2000

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0305-4470/34/3/633

Abstract

The Hartree solution for the ground state of N>>1 bosons placed within a spherical impenetrable shell is calculated. The bosons are assumed to interact through Coulomb repulsive forces and therefore occupy a thin volume adjacent to the shell wall. The resulting density profile is compared with its parallel Thomas-Fermi solution for fermions.

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