EXACTLY SOLVABLE EFFECTIVE MASS D-DIMENSIONAL SCHRÖDINGER EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS

DOI10.1142/S0129183109013674zbMath1169.81012arXiv0810.1159MaRDI QIDQ3636452

Ramazan Sever, Sameer M. Ikhdair

Publication date: 30 June 2009

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1159

zbMATH Keywords

bound statespseudoharmonic potentialmodified Kratzer-type potentialpoint canonical transformation methodposition dependent mass distribution

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) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (9)

A large class of bound-state solutions of the Schrödinger equation via Laplace transform of the confluent hypergeometric equation ⋮ From the generalized Morse potential to a unified treatment of the \(D\)-dimensional singular harmonic oscillator and singular Coulomb potentials ⋮ Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential ⋮ Relativistic two-dimensional harmonic oscillator plus Cornell potentials in external magnetic and AB fields ⋮ Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential ⋮ New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential ⋮ Spin-one (1 + 3)-dimensional DKP equation with modified Kratzer potential in the non-commutative space ⋮ Approximate solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term ⋮ Analytical solution of the Schrödinger equation with spatially varying effective mass for generalised Hylleraas potential

Cites Work

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• EXACT SOLUTIONS OF THE MODIFIED KRATZER POTENTIAL PLUS RING-SHAPED POTENTIAL IN THE D-DIMENSIONAL SCHRÖDINGER EQUATION BY THE NIKIFOROV–UVAROV METHOD
• BOUND STATES OF THE KLEIN–GORDON EQUATION FOR VECTOR AND SCALAR GENERAL HULTHÉN-TYPE POTENTIALS IN D-DIMENSION
• The path integration of a relativistic particle on aD-dimensional sphere
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• EXACT BOUND STATES OF THE D-DIMENSIONAL KLEIN–GORDON EQUATION WITH EQUAL SCALAR AND VECTOR RING-SHAPED PSEUDOHARMONIC POTENTIAL

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