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Journal
2014 | 12 | 8 | 554-558
Article title

Rayleigh-Ritz variational method with suitable asymptotic behaviour

Content
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Languages of publication
EN
Abstracts
EN
This paper considers the Rayleigh-Ritz variational calculations with non-orthogonal basis sets that exhibit the correct asymptotic behaviour. This approach is illustrated by constructing suitable basis sets for one-dimensional models such as the two double-well oscillators recently considered by other authors. The rate of convergence of the variational method proves to be considerably greater than the one exhibited by the recently developed orthogonal polynomial projection quantization.
Publisher

Journal
Year
Volume
12
Issue
8
Pages
554-558
Physical description
Dates
published
1 - 8 - 2014
online
20 - 7 - 2014
Contributors
  • INIFTA (UNLP, CCT La Plata-CONICET), División Química Teórica Diag, 113 y 64 (S/N), Sucursal 4, Casilla de Correo, 16 1900, La Plata, Argentina, fernande@quimica.unlp.edu.ar
author
  • INIFTA (UNLP, CCT La Plata-CONICET), División Química Teórica Diag, 113 y 64 (S/N), Sucursal 4, Casilla de Correo, 16 1900, La Plata, Argentina
References
  • [1] C. N. Handy, D. Vrinceanu, J. Phys. A 46, 135202 (2013) http://dx.doi.org/10.1088/1751-8113/46/13/135202[Crossref]
  • [2] F. L. Pilar, Elementary Quantum Chemistry (McGraw-Hill, New York, 1968)
  • [3] F. M. Fernández, Cent. Eur. J. Phys. 11, 470 (2013). arXiv:1204.0229 [math-ph] http://dx.doi.org/10.2478/s11534-013-0198-0[Crossref]
  • [4] F. M. Fernández, Q. Ma, R. H. Tipping, Phys. Rev. A 39, 1605 (1989) http://dx.doi.org/10.1103/PhysRevA.39.1605[Crossref]
  • [5] F. M. Fernández, Q. Ma, R. H. Tipping, Phys. Rev. A 40, 6149 (1989) http://dx.doi.org/10.1103/PhysRevA.40.6149[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0477-4
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