A high-precision study of anharmonic-oscillator spectra
type: Item
instance of: scholarly article
title: A high-precision study of anharmonic-oscillator spectra
zbMATH Open document ID: 0974.81015
author: M. H. Macfarlane
published in: Annals of Physics
publication date: 2001-12-16T00:00:00Z
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 46A50
Mathematics Subject Classification ID: 81Q15
zbMATH DE Number: 1270902
zbMATH Keywords: figure accuracy
zbMATH Keywords: eigenvalues
zbMATH Keywords: fifth-order JWKB
zbMATH Keywords: Lanczos algorithm
describes a project that uses: LINPACK
describes a project that uses: Maple
describes a project that uses: Algorithm 719
MaRDI profile type: Publication
OpenAlex ID: W2104892640
cites work: How to Implement the Spectral Transformation
cites work: Operator method in the problem of quantum anharmonic oscillator
cites work: Q4208550
cites work: 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
cites work: Q3239420
cites work: Q3953228
cites work: Q3231026
cites work: Anharmonic oscillator: Constructing the strong coupling expansions
cites work: Accurate eigenvalues and eigenfunctions for quantum-mechanical anharmonic oscillators
cites work: Q5674306
cites work: The generalization of the binomial theorem
cites work: Q4002421
cites work: The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation
cites work: Q5289009
cites work: Computational Variants of the Lanczos Method for the Eigenproblem
cites work: Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix
cites work: Algorithm 719: Multiprecision translation and execution of FORTRAN programs
cites work: Lower Bounds for Eigenvalues of Schrödinger's Equation
cites work: Analytic continued fraction technique for bound and confined states for a class of confinement potentials
cites work: On the moment problem for non-positive distributions
cites work: Failure of the Hill determinant method for the sextic anharmonic oscillator
cites work: On the Hill determinant method
cites work: On the Representations of the Rotation Group
cites work: Q5604158
cites work: Sur la détermination des premiers états d'un système de fermions dans le cas dégénéré
cites work: Unified theory of nuclear reactions
cites work: A unified theory of nuclear reactions. II
DOI: 10.1006/APHY.1998.5854
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description: scientific article; zbMATH DE number 1270902