Rayleigh-Ritz variational method with suitable asymptotic behaviour

• Autorzy: Francisco Fernández , Javier Garcia
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

Rayleigh-Ritz method; asymptotic behaviour; anharmonic oscillators; rate of convergence; orthogonal polynomial projection quantization

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 8
• Strony: 554-558

Daty

wydano

2014-08-01

online

2014-07-20

Twórcy

autor

Francisco Fernández

• 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,

autor

Javier Garcia

• 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

Bibliografia

• [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]

Identyfikatory

DOI

10.2478/s11534-014-0477-4