N identical particles under quantum confinement: A many-body dimensional perturbation theory approach II, the lowest-order wave function II

Details N identical particles under quantum confinement: A many-body dimensional perturbation theory approach II, the lowest-order wave function II N identical particles under quantum confinement: A many-body dimensional perturbation theory approach II, the lowest-order wave function II

2006-07-19

arxiv.org/abs/quant-ph/0607135v1

Physics

Quantum Physics

Scientific paper

In this paper, the second in a series of two, we complete the derivation of the lowest-order wave function of a dimensional perturbation theory (DPT) treatment for the N-body quantum-confined system. Taking advantage of the symmetry of the zeroth-order configuration, we use group theoretic techniques and the FG matrix method from quantum chemistry to obtain analytic results for frequencies and normal modes. This method directly accounts for each two-body interaction, rather than an average interaction so that even lowest-order results include beyond-mean-field effects. It is thus appropriate for the study of both weakly and strongly interacting systems and the transition between them. While previous work has focused on energies, lowest-order wave functions yield important information such as the nature of excitations and expectation values of physical observables at low orders including density profiles. Higher orders in DPT also require as input the zeroth-order wave functions. In the earlier paper we presented a program for calculating the analytic normal-mode coordinates of the large-D system and illustrated the procedure by deriving the two simplest normal modes. In this paper we complete this analysis by deriving the remaining, and more complex, normal coordinates of the system.

Affiliated with

Also associated with

No associations

Rating

N identical particles under quantum confinement: A many-body dimensional perturbation theory approach II, the lowest-order wave function II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with N identical particles under quantum confinement: A many-body dimensional perturbation theory approach II, the lowest-order wave function II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N identical particles under quantum confinement: A many-body dimensional perturbation theory approach II, the lowest-order wave function II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-79420