Computer algebra and large scale perturbation theory

DOI10.1016/S0010-4655(98)00135-0zbMath0998.81061OpenAlexW2069890529WikidataQ127309085 ScholiaQ127309085MaRDI QIDQ1612019

R. Smith

Publication date: 28 August 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(98)00135-0

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Computational methods for problems pertaining to quantum theory (81-08) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items

Accurate estimates of asymptotic indices via fractional calculus, Bound states and ``resonances in quantum anharmonic oscillators

Uses Software

• Maple
• Mathematica
• REDUCE

Cites Work

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• Singular perturbation potentials
• A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
• Anharmonic oscillator: Constructing the strong coupling expansions
• Variational and perturbative schemes for a spiked harmonic oscillator
• The energy levels of the Schrodinger equation for various types of potentials using a renormalized method
• The anharmonic oscillator -d²/dx²+x²+b/x⁴+c/x⁶for extreme values of the anharmonicity constants
• Large-order perturbation expansions for the charged harmonic oscillator
• The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations
• The strong coupling expansion for anharmonic oscillators
• Accurate eigenvalues and eigenfunctions for quantum-mechanical anharmonic oscillators