| Three-body problem in quantum mechanics: hyperspherical elliptic coordinates and harmonic basis sets. | |
| | |
MedLine Citation:
|
PMID: 15268573 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
|
Elliptic coordinates within the hyperspherical formalism for three-body problems were proposed some time ago [V. Aquilanti, S. Cavalli, and G. Grossi, J. Chem. Phys. 85, 1362 (1986)] and recently have also found application, for example, in chemical reaction theory [see O. I. Tolstikhin and H. Nakamura, J. Chem. Phys. 108, 8899 (1998)]. Here we consider their role in providing a smooth transition between the known "symmetric" and "asymmetric" parametrizations, and focus on the corresponding hyperspherical harmonics. These harmonics, which will be called hyperspherical elliptic, involve products of two associated Lame polynomials. We will provide an expansion of these new sets in a finite series of standard hyperspherical harmonics, producing a powerful tool for future applications in the field of scattering and bound-state quantum-mechanical three-body problems. |
| | |
Authors:
|
Vincenzo Aquilanti; Stefano Tonzani |
Related Documents
:
|
8757343 - Hiv-1 gp120-specific antibody-dependent cell-mediated cytotoxicity correlates with rate... 17060823 - Methods and frameworks for crosscultural measurement. 16777633 - Effects of internal medicine residency training in aids care in taiwan. |
Publication Detail:
|
Type: Journal Article |
Journal Detail:
|
Title: The Journal of chemical physics Volume: 120 ISSN: 0021-9606 ISO Abbreviation: J Chem Phys Publication Date: 2004 Mar |
Date Detail:
|
Created Date: 2004-07-22 Completed Date: 2006-08-08 Revised Date: - |
Medline Journal Info:
|
Nlm Unique ID: 0375360 Medline TA: J Chem Phys Country: United States |
Other Details:
|
Languages: eng Pagination: 4066-73 Citation Subset: - |
Copyright Information:
|
Copyright 2004 American Institute of Physics |
Affiliation:
|
Dipartimento di Chimica, Universita di Perugia, I-06123, Perugia, Italy. |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
|
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Rate constants for diffusive processes by partial path sampling.
Next Document: A new perspective on the coarse-grained dynamics of fluids.