The Laplace-Beltrami operator expressed in terms of fermionic-type creation and annihilation operators

Authors
Bracken, P
Citation
P. Bracken, The Laplace-Beltrami operator expressed in terms of fermionic-type creation and annihilation operators, EUROPH LETT, 56(2), 2001, pp. 163-169
Citations number
7
Categorie Soggetti
Physics
Journal title
EUROPHYSICS LETTERS
ISSN journal
02955075 → ACNP
Volume
56
Issue
2
Year of publication
2001
Pages
163 - 169
Database
ISI
SICI code
0295-5075(200110)56:2<163:TLOEIT>2.0.ZU;2-D
Abstract
Several operator relations for differential operators on a Riemannian manif old are written down in terms of a set of basis operators which act on an e xterior algebra. Differential geometric relations are expressed in terms of these operators. An important relation which connects the Laplace-Beltrami operator on p-forms to the Bochner Laplacian is developed.