The diatomic anharmonic oscillator according to matrix mechanics1Expanded version of a talk presented at the Applied Computer Algebra meeting in Maui, August 1997. This work was supported by NSERC of Canada.1

M.B. Monagan and J.F. Ogilvie

Mathematics and Computers in Simulation (MATCOM), 1999, vol. 49, issue 3, 221-234

Abstract: We determine the energies of states of the diatomic anharmonic oscillator by matrix mechanics in its original form as developed by Heisenberg, Born and Jordan using perturbation theory in successive orders. We present exact formulae for the second-, fourth-, and sixth-order contributions to the energy that were computed with Maple. The calculations involve matrices of finite rank with symbolic entries. We include the Maple programs.

Keywords: Anharmonic oscillator; Matrix mechanics; Maple programs (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475499000464
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:49:y:1999:i:3:p:221-234

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().