Solution to the equations of the moment expansions

• Authors: Paolo Amore , Francisco Fernández
• Languages of publication: EN

Abstracts

EN

We develop a formula for matching a Taylor series about the origin and an asymptotic exponential expansion for large values of the coordinate. We test it on the expansion of the generating functions for the moments and connected moments of the Hamiltonian operator. In the former case the formula produces the energies and overlaps for the Rayleigh-Ritz method in the Krylov space. We choose the harmonic oscillator and a strongly anharmonic oscillator as illustrative examples for numerical test. Our results reveal some features of the connected-moments expansion that were overlooked in earlier studies and applications of the approach.

Keywords

EN

connected moments expansion; full solution; convergence; Rayleigh-Ritz method

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 2
• Pages: 195-205

Dates

published

1 - 2 - 2013

online

9 - 2 - 2013

Contributors

author

Paolo Amore

• Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, Mexico

author

Francisco Fernández

• INIFTA (UNLP, CCT La Plata-CONICET), División Química Teórica, Blvd. 113 S/N, Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

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Identifiers

DOI

10.2478/s11534-012-0154-4