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20032018
most citedN identical particles under quantum confinement: A many-body dimensional perturbation theory approach

20 citations · 51 across the 9 of their papers we have counts for

collaborators

9 papers

math-ph2018★ 5 cited

Generalization of the Fermi Pseudopotential

Trang T. Le, Zach Osman, D. K. Watson +2

Introduced eighty years ago, the Fermi pseudopotential has been a powerful concept in multiple fields of physics. It replaces the detailed shape of a potential by a delta-function…

cond-mat.other2009

A Test of a New Interacting N-Body Wave Function

Martin Dunn, W. Blake Laing, Derrick Toth +1

The resources required to solve the general interacting quantum N-body problem scale exponentially with N, making the solution of this problem very difficult when N is large. In a…

math-ph2009

A Complete Basis for a Perturbation Expansion of the General N-Body Problem

W. Blake Laing, David W. Kelle, Martin Dunn +1

We discuss a basis set developed to calculate perturbation coefficients in an expansion of the general N-body problem. This basis has two advantages. First, the basis is complete o…

math-ph2008★ 13 cited

On the Use of Group Theoretical and Graphical Techniques toward the Solution of the General N-body Problem

W. B. Laing, M. Dunn, D. K. Watson

Group theoretic and graphical techniques are used to derive the N-body wave function for a system of identical bosons with general interactions through first-order in a perturbatio…

quant-ph2006

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

M. Dunn, D. K. Watson, J. G. Loeser

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 quant…

cond-mat.other2006★ 13 cited

Analytic, Group-Theoretic Density Profiles for Confined, Correlated N-Body Systems

W. B. Laing, M. Dunn, D. K. Watson

Confined quantum systems involving identical interacting particles are to be found in many areas of physics, including condensed matter, atomic and chemical physics. A beyond-m…