Part of the D - dimensional anharmonic oscillator spectra

2001/01/27 by Omar Mustafa, Mustafa, Omar, Maen Odeh +1
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0101031

21 pages, Latex file, submitted for publication

arxiv created 2001/01/27 · openalex publication_date 2001/01/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The pseudoperturbative shifted - l expansion technique PSLET [12,16] is generalized for states with arbitrary number of nodal zeros. Interdimensional degeneracies, emerging from the isomorphism between angular momentum and dimensionality of the central force Schrödinger equation, are used to construct part of the D - dimensional anharmonic oscillator bound - state spectra. PSLET results are found to compare excellently with those from a series [5], exact and open perturbation [9] solutions.

Related

• 1/N-expansion and nonclassical state generation in higher-order anharmonic oscillators
• Partial sums and optimal shifts in shifted large-L perturbation expansions for quasi-exact potentials
• Perturbation theory for sextic doubly anharmonic oscillator
• New type of exact solvability and of a hidden nonlinear dynamical symmetry in anharmonic oscillators
• 2D H-atom in an arbitrary magnetic field via pseudoperturbation expansions through the quantum number l