Exact solutions of Schrödinger and Pauli equations for a charged particle on a sphere and interacting with non-central potentials

DOI10.1063/1.5079798zbMath1414.81096OpenAlexW2924103510MaRDI QIDQ5379351

No author found.

Publication date: 28 May 2019

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

Full work available at URL: https://doi.org/10.1063/1.5079798

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Exactly and quasi-solvable systems arising in quantum theory (81U15) Motion of charged particles (78A35) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-central potentials, exact solutions and Laplace transform approach
• Numerical implementation of the ellipsoidal wave equation and application to ellipsoidal quantum dots
• Supersymmetric solutions of non-central potentials
• Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential
• Exact treatment of the relativistic double ring-shaped Kratzer potential using the quantum Hamilton–Jacobi formalism
• Exact solution of the Schrödinger equation for the modified Kratzer potential plus a ring-shaped potential by the Nikiforov–Uvarov method
• Exact analytical solution to the relativistic Klein-Gordon equation with noncentral equal scalar and vector potentials
• Quasi-exact solvability of the Pauli equation
• Heun functions and the energy spectrum of a charged particle on a sphere under a magnetic field and Coulomb force
• Quantum simulation of non-trivial topology
• Solutions of Dirac Equation for Makarov Potential with Pseudospin Symmetry

This page was built for publication: Exact solutions of Schrödinger and Pauli equations for a charged particle on a sphere and interacting with non-central potentials