Department of Physics Papers

Document Type

Journal Article

Date of this Version

8-15-1987

Publication Source

Physical Review A

Volume

36

Issue

4

Start Page

1840

Last Page

1848

DOI

10.1103/PhysRevA.36.1840

Abstract

A recursive method for enumerating clusters on a hypercubic lattice in d spatial dimensions is presented from which the weak embedding constants are determined as polynomials in d. A tabulation for all clusters having no free ends is available for nb≤15, where nb is the number of bonds. As illustrated here and elsewhere, this tabulation can be used to generate many series expansions. A novel method of checking the enumeration with an algebraic calculation is presented.

Comments

At the time of publication, author A. Brooks Harris was affiliated with Tel-Aviv University. Currently, he is a faculty member in the Department of Physics at the University of Pennsylvania.

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Date Posted: 12 August 2015

This document has been peer reviewed.