A general approach for the exact solution of the Schrödinger equation (Q1013762)

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English	A general approach for the exact solution of the Schrödinger equation	scientific article

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title

A general approach for the exact solution of the Schrödinger equation (English)

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International Journal of Theoretical Physics

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publication date

21 April 2009

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full work available at URL

https://arxiv.org/abs/0807.2304

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zbMATH Keywords

generalized Morse potential

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Rosen-Morse potential

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pseudoharmonic potential

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Mie potential

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Woods-Saxon potential

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Kratzer-Fues potential

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non-central potential

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MaRDI profile type

MaRDI publication profile

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cites work

Exact solutions of the Schrödinger equation for the deformed hyperbolic potential well and the deformed four-parameter exponential type potential

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Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method

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Polynomial solution of non-central 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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Exact solution of the Klein-Gordon equation for the PT-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method

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Bound energy for the exponential-cosine-screened Coulomb potential

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Approximate eigenvalue and eigenfunction solutions for the generalized Hulthén potential with any angular momentum

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A PERTURBATIVE TREATMENT FOR THE ENERGY LEVELS OF NEUTRAL ATOMS

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Algebraic approach to the Kratzer potential

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Bc Meson Spectrum and Hyperfine Splittings in the Shifted Large-N-Expansion Technique

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MASS SPECTRA OF HEAVY QUARKONIA AND Bc DECAY CONSTANT FOR STATIC SCALAR-VECTOR INTERACTIONS WITH RELATIVISTIC KINEMATICS

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A SYSTEMATIC STUDY ON NONRELATIVISTIC QUARKONIUM INTERACTION

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CALCULATION OF THE Bc LEPTONIC DECAY CONSTANT USING THE SHIFTED N-EXPANSION METHOD

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Schrödinger Equation with the PotentialV(r) =Ar-4+Br-3+Cr-2+Dr-1

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On the Solutions of the Schrödinger Equation with some Anharmonic Potentials: Wave Function Ansatz

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SUPERSYMMETRIC SOLUTION OF PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN MORSE POTENTIAL VIA HAMILTONIAN HIERARCHY METHOD

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Morse potential energy spectra through the variational method and supersymmetry

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Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

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PT-symmetric sextic potentials

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Supersymmetric solutions of \({\mathcal PT}\)-/non-\({\mathcal PT}\)-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method

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Q4039835

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Exact Solutions of the Schrödinger Equation for Two “Deformed” Hyperbolic Molecular Potentials

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Exact solutions of the Schrödinger equation with position-dependent effective mass via general point canonical transformation

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Exact solution of Schrödinger equation for Pseudoharmonic potential

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Q3270585

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Bound state solution of the Schrödinger equation for Mie potential

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Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for \(\ell \neq 0\) states

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Solutions for a generalized Woods–Saxon potential

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EIGENVALUES AND EIGENFUNCTIONS OF WOODS–SAXON POTENTIAL IN PT-SYMMETRIC QUANTUM MECHANICS

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SUPERSYMMETRY APPROACHES TO THE BOUND STATES OF THE GENERALIZED WOODS–SAXON POTENTIAL

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Polynomial Solutions of the Schrödinger Equation for the “Deformed” Hyperbolic Potentials by Nikiforov–Uvarov Method

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ANALYTICAL APPROXIMATIONS TO THE SCHRÖDINGER EQUATION FOR A SECOND PÖSCHL–TELLER-LIKE POTENTIAL WITH CENTRIFUGAL TERM

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New class of conditionally exactly solvable potentials in quantum mechanics

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Complexified Pöschl-Teller II potential model

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MAPPING OF NON-CENTRAL POTENTIALS UNDER POINT CANONICAL TRANSFORMATIONS

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Supersymmetric solutions of non-central potentials

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Algebraic treatment of a general noncentral potential

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Identifiers

zbMATH Open document ID

1162.81369

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DOI

10.1007/s10773-008-9806-y

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1013762