N Identical Particles Under Quantum Confinement: A Many-Body Dimensional Perturbation Theory Approach II, The Lowest-Order Wave Function I

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dc.creatorDunn, M.
dc.creatorWatson, D. K.
dc.creatorLoeser, J. G.
dc.date2006-03-17
dc.date.accessioned2026-07-07T07:08:02Z
dc.date.available2026-07-07T07:08:02Z
dc.descriptionIn this paper we continue our development of a dimensional perturbation theory (DPT) treatment of N identical particles under quantum confinement. DPT is a beyond-mean-field method which is applicable to both weakly and strongly-interacting systems and can be used to connect both limits. In a previous paper we developed the formalism for low-order energies and excitation frequencies. This formalism has been applied to atoms, Bose-Einstein condensates and quantum dots. One major advantage of the method is that N appears as a parameter in the analytical expressions for the energy and so results for N up to a few thousand are easy to obtain. Other properties however, are also of interest, for example the density profile in the case of a BEC,and larger N results are desirable as well. The latter case requires us to go to higher orders in DPT. These calculations require as input zeroth-order wave functions and this paper, along with a subsequent paper, addresses this issue.
dc.description52 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0603158
dc.identifierhttp://arxiv.org/abs/quant-ph/0603158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110612
dc.subjectQuantum Physics
dc.titleN Identical Particles Under Quantum Confinement: A Many-Body Dimensional Perturbation Theory Approach II, The Lowest-Order Wave Function I
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