dorsal/arxiv
View SchemaN Identical Particles Under Quantum Confinement: A Many-Body Dimensional Perturbation Theory Approach II, The Lowest-Order Wave Function I
| Authors | M. Dunn, D. K. Watson, J. G. Loeser |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603158 |
| URL | https://arxiv.org/abs/quant-ph/0603158 |
Abstract
In 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.
{
"annotation_id": "5bd1fcc3-f4c0-47a0-835d-d32905fb30d6",
"date_created": "2026-03-02T18:02:23.901000Z",
"date_modified": "2026-03-02T18:02:23.901000Z",
"file_hash": "d0e182ad8545a56e6746b1023a8044acb65d4d7361c00c81ffddf85d0fde7e72",
"private": false,
"record": {
"abstract": "In this paper we continue our development of a dimensional perturbation\ntheory (DPT) treatment of N identical particles under quantum confinement. DPT\nis a beyond-mean-field method which is applicable to both weakly and\nstrongly-interacting systems and can be used to connect both limits. In a\nprevious paper we developed the formalism for low-order energies and excitation\nfrequencies. This formalism has been applied to atoms, Bose-Einstein\ncondensates and quantum dots. One major advantage of the method is that N\nappears as a parameter in the analytical expressions for the energy and so\nresults for N up to a few thousand are easy to obtain. Other properties\nhowever, are also of interest, for example the density profile in the case of a\nBEC,and larger N results are desirable as well. The latter case requires us to\ngo to higher orders in DPT. These calculations require as input zeroth-order\nwave functions and this paper, along with a subsequent paper, addresses this\nissue.",
"arxiv_id": "quant-ph/0603158",
"authors": [
"M. Dunn",
"D. K. Watson",
"J. G. Loeser"
],
"categories": [
"quant-ph"
],
"title": "N Identical Particles Under Quantum Confinement: A Many-Body Dimensional Perturbation Theory Approach II, The Lowest-Order Wave Function I",
"url": "https://arxiv.org/abs/quant-ph/0603158"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bdb86d37-660a-40fe-b382-c148cb5e2e68",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}