A Laplace transform approach to find the exact solution of the \(N\)-dimensional Schrödinger equation with Mie-type potentials and construction of Ladder operators
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Publication:2353522
DOI10.1007/s10910-014-0444-8zbMath1331.81091arXiv1406.6282OpenAlexW3104151023MaRDI QIDQ2353522
Publication date: 15 July 2015
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.6282
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Other special methods applied to PDEs (35A25)
Related Items (4)
Exact analytical solution of the \(N\)-dimensional radial Schrödinger equation with pseudoharmonic potential via Laplace transform approach ⋮ Analytical approximate bound state solution of Schrödinger equation in \(D\)-dimensions with a new mixed class of potential for arbitrary \(\ell\)-state via asymptotic iteration method ⋮ Klein-Gordon equation for a charged particle in space-varying electromagnetic fields-a systematic study via the Laplace transform ⋮ Time independent fractional Schrödinger equation for generalized Mie-type potential in higher dimension framed with Jumarie type fractional derivative
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