|
related topics |
{group, space, representation} |
{equation, function, exp} |
{temperature, thermal, energy} |
{energy, state, states} |
{cos, sin, state} |
{cavity, atom, atoms} |
{let, theorem, proof} |
{trap, ion, state} |
{state, states, coherent} |
{field, particle, equation} |
{states, state, optimal} |
|
N Identical Particles Under Quantum Confinement: A Many-Body Dimensional
Perturbation Theory Approach II, The Lowest-Order Wave Function I
M. Dunn, D. K. Watson, J. G. Loeser
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0603158
- categories:
- quant-ph
- comments:
- 52 pages
- arxiv_id:
- quant-ph/0603158
- created:
- 2006-03-17
Full article ▸
|
|
related documents |
9712009v2 |
0505144v2 |
0002070v1 |
0604153v1 |
9909053v1 |
0110152v1 |
0503041v2 |
0612096v1 |
0612089v3 |
0605026v1 |
0604202v1 |
0703220v1 |
0607059v2 |
0604167v1 |
0609220v1 |
0703179v2 |
0603168v1 |
0609072v1 |
0612210v3 |
0703061v1 |
0703262v3 |
0604091v1 |
0606006v1 |
0703162v1 |
0701054v1 |
|