Approximate bound states of the Dirac equation with some physical quantum potentials (Q449453)

scientific article; zbMATH DE number 6074601

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English	Approximate bound states of the Dirac equation with some physical quantum potentials	scientific article; zbMATH DE number 6074601

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instance of

scholarly article

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title

Approximate bound states of the Dirac equation with some physical quantum potentials (English)

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Applied Mathematics and Computation

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publication date

30 August 2012

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full work available at URL

https://arxiv.org/abs/1204.2700

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zbMATH Keywords

Dirac equation

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spin and pseudospin symmetry

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Nikiforov-Uvarov method

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approximation schemes

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Relativistic Quantum Mechanics and Quantum Fields

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Application of the exact quantization rule to the relativistic solution of the rotational Morse potential with pseudospin symmetry

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An approximate solution of Dirac-Hulthén problem with pseudospin and spin symmetry for any κ state

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κ state solutions of the Dirac equation for the Eckart potential with pseudospin and spin symmetry

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Analytical approximation to the solution of the Dirac equation with the Eckart potential including the spin-orbit coupling term

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Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential

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Solution of the Dirac equation for pseudoharmonic potential by using the Nikiforov–Uvarov method

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Approximate solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term

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Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential

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Two approximation schemes to the bound states of the Dirac–Hulthén problem

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Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit

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Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic iteration method

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The spin symmetry for deformed generalized Pöschl-Teller potential

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Spin symmetry in the relativistic symmetrical well potential including a proper approximation to the spin–orbit coupling term

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Qiang–Dong proper quantization rule and its applications to exactly solvable quantum systems

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Bound states of the Dirac equation with some physical potentials by the Nikiforov–Uvarov method

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Approximate analytical solutions of the Dirac equation with the generalized Pöschl-Teller potential including the pseudo-centrifugal term

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Bound states of the Dirac equation with vector and scalar Scarf-type potentials

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Approximate pseudospin solutions of the Dirac equation with the Eckart potential including a Coulomb-like tensor potential

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Bound states of the Dirac equation with vector and scalar Eckart potentials

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Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry

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Amplitude-phase methods for analyzing the radial Dirac equation: calculation of scattering phase shifts

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Solution of the Dirac equation by separation of variables in spherical coordinates for a large class of non-central electromagnetic potentials

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Spin and pseudospin symmetry along with orbital dependency of the Dirac-Hulthén problem

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On the Vibrations of Polyatomic Molecules

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Q3469372

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ROTATIONAL AND VIBRATIONAL DIATOMIC MOLECULE IN THE KLEIN–GORDON EQUATION WITH HYPERBOLIC SCALAR AND VECTOR POTENTIALS

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Analytic Quantum Mechanics of Diatomic Molecules with Empirical Potentials

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Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method

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An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry

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Bound states of the Klein-Gordon equation with vector and scalar Rosen-Morse-type potentials

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Exact polynomial solution of \({\mathcal P}{\mathcal T}\)/Non-\({\mathcal P}{\mathcal T}\)-symmetric and non-Hermitian modified Woods-Saxon potential by the Nikiforov-Uvarov method

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Polynomial solution of non-central potentials

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Improved analytical approximation to arbitrary l-state solutions of the Schrödinger equation for the hyperbolical potentials

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Identifiers

zbMATH Open document ID

1252.81051

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Mathematics Subject Classification ID

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10.1016/J.AMC.2012.03.073

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Sitelinks

Mathematics(1 entry)

mardi Publication:449453