A map between the Coulomb and the harmonic oscillator systems in a higher-dimensional space

DOI10.1007/S11232-012-0047-0zbMath1274.81093OpenAlexW2061488374MaRDI QIDQ378555

Mohammad Hasan, H. S. Yoon

Publication date: 12 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-012-0047-0

zbMATH Keywords

exactly solvable potentialextended transformationSchrödinger Green's function equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Green's functions for elliptic equations (35J08) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Exact analytic solutions generated from stipulated Morse and trigonometric Scarf potentials
• Generation of exactly solvable quantum potentials in D-dimensional space
• Generation of new classes of exactly solvable potentials

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