Renormalized perturbation theory for quartic anharmonic oscillator
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Publication:1808040
DOI10.1006/aphy.1999.5924zbMath0962.81015OpenAlexW2014829968MaRDI QIDQ1808040
Publication date: 30 November 1999
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/dcb6bb160edf2aa11f6966d1634493ae2da9c154
Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Perturbation theories for operators and differential equations in quantum theory (81Q15)
Related Items (7)
Transformation of the asymptotic perturbation expansion for the anharmonic oscillator into a convergent expansion ⋮ New summation technique for rapidly divergent perturbation series. Hydrogen atom in magnetic field ⋮ Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ Perturbation theory in a framework of iteration methods ⋮ Octic anharmonic oscillators: Perturbed coherent states and the classical limit ⋮ Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities ⋮ An intuitive approach to the higher-order solutions for classical and quantum oscillators of quartic anharmonicity
Cites Work
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- Improved convergence proof of the delta expansion and order dependent mappings
- A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
- Continued fractions and Rayleigh–Schrödinger perturbation theory at large order
- 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
- A new efficient method for calculating perturbation energies using functions which are not quadratically integrable
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