Approximate analytical states of a polynomial potential: an example of symmetry restoration

DOI10.1016/S0375-9601(00)00277-2zbMath1115.65344OpenAlexW1551838238WikidataQ113099164 ScholiaQ113099164MaRDI QIDQ997882

J. Martínez

Publication date: 8 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00277-2

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)

Related Items

Analytic calculation of energies and wave functions of the quartic and pure quartic oscillators, Eigenvalues and eigenfunctions for the ground state of polynomial potentials, On some classes of exactly-solvable Klein-Gordon equations, The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\), On some polynomial potentials in d-dimensions, On the eigenproblems of PT-symmetric oscillators, THE ASYMPTOTIC ITERATION METHOD FOR THE EIGENENERGIES OF THE ASYMMETRICAL QUANTUM ANHARMONIC OSCILLATOR POTENTIALS $V(x)=\sum_{j=2}^{2\alpha}A_{j}x^{j}$

Cites Work

• A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
• Fifty years of eigenvalue perturbation theory
• The strong coupling expansion for anharmonic oscillators
• Large-order behaviour of the strong coupling perturbation expansion for anharmonic oscillators
• Development of non-linear transformations for improving convergence of sequences