Non-central potentials, exact solutions and Laplace transform approach

DOI10.1007/S10910-012-9984-YzbMath1381.35024arXiv1202.4271OpenAlexW3099566083MaRDI QIDQ454278

Altuğ Arda, Ramazan Sever

Publication date: 1 October 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4271

zbMATH Keywords

Laplace transformexact solutionSchrödinger equationnon-central potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Solutions to PDEs in closed form (35C05)

Related Items (7)

A large class of bound-state solutions of the Schrödinger equation via Laplace transform of the confluent hypergeometric equation ⋮ The visualization of the space probability distribution for a particle moving in a double ring-shaped Coulomb potential ⋮ A class of exactly solvable rationally extended non-central potentials in two and three dimensions ⋮ Coherent states for Kratzer-type potentials ⋮ Exact solutions of Schrödinger and Pauli equations for a charged particle on a sphere and interacting with non-central potentials ⋮ so(3) algebraic approach to the Morse potential ⋮ Non-relativistic continuous states in arbitrary dimension for a ring-shaped pseudo-Coulomb and energy-dependent potentials

Cites Work

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• Solving Dirac Equation with New Ring-Shaped Non-Spherical Harmonic Oscillator Potential
• A new ring-shaped potential and its dynamical invariance algebra
• Scattering and bound states for a class of non-central potentials
• Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov–Uvarov method

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