Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. II. Quartic and sextic anharmonicity cases
DOI10.1142/S0217751X20500050zbMath1461.81028arXiv1912.10919OpenAlexW3098700452MaRDI QIDQ4992434
J. C. del Valle, Alexander~V. Turbiner
Publication date: 8 June 2021
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.10919
perturbation theorysemiclassical approximationvariational methodquartic anharmonic oscillatorsextic anharmonic oscillatorradial anharmonic oscillator
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (2)
Cites Work
- Unnamed Item
- The Lagrange-mesh method
- A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
- Anharmonic oscillator and double-well potential: Approximating eigenfunctions
- Anharmonic oscillator: Constructing the strong coupling expansions
- DOUBLE WELL POTENTIAL: PERTURBATION THEORY, TUNNELING, WKB (BEYOND INSTANTONS)
- The strong coupling expansion for anharmonic oscillators
- Toward the theory of the Yukawa potential
- Energy levels of two-dimensional anharmonic oscillators with sextic and octic perturbations
- Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. I. Generalities, cubic anharmonicity case
This page was built for publication: Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. II. Quartic and sextic anharmonicity cases
