Double well model \(V(r)=ar^2+br^4+cr^6\) with \(a<0\) and perturbation method with triangular propagators

DOI10.1016/0375-9601(96)00660-3zbMath0972.81535OpenAlexW2042347332MaRDI QIDQ1968023

Miloslav Znojil

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00660-3

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (4)

Symmetrized quartic polynomial oscillators and their partial exact solvability ⋮ One-dimensional Schrödinger equation and its exact representation on a discrete lattice. ⋮ Perturbed Pöschl-Teller oscillators ⋮ Convergent Rayleigh-Schrödinger perturbation expansions for low-lying eigenstates and eigenenergies of anharmonic oscillators in intermediate basis states

Cites Work

• Unnamed Item
• Unnamed Item
• The exact bound-state ansaetze as zero-order approximations in perturbation theory. II: An illustration: \(V(r)= r^2+ fr^2/ (1+gr^2)\)
• Vectorial continued fractions and an algebraic construction of effective Hamiltonians
• Practical Quantum Mechanics II

This page was built for publication: Double well model \(V(r)=ar^2+br^4+cr^6\) with \(a<0\) and perturbation method with triangular propagators