Dirac equation in the presence of Coulomb and linear terms in \((1+1)\) dimensions; the supersymmetric approach

DOI10.1016/j.aop.2010.04.010zbMath1194.81081OpenAlexW2009156846MaRDI QIDQ987950

A. A. Rajabi, Hassan Hassanabadi, Saber Zarrinkamar

Publication date: 24 August 2010

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2010.04.010

zbMATH Keywords

Schrödinger equationDirac equationsupersymmetrylinear termCoulomb term

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60)

Related Items (6)

Dirac equation in low dimensions: The factorization method ⋮ Algebraic approach to exact solution of the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space ⋮ Generalized Dirac oscillator in cosmic string space-time ⋮ DIRAC EQUATION FOR A COULOMB SCALAR, VECTOR AND TENSOR INTERACTION ⋮ ALGEBRAIC APPROACH TO QUASI-EXACT SOLUTIONS OF THE KLEIN–GORDON–COULOMB PROBLEM ⋮ Cornell and Coulomb interactions for the D-dimensional Klein-Gordon equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact solutions of the Schrödinger equation with position-dependent mass for some Hermitian and non-Hermitian potentials
• Quantum particles trapped in a position-dependent mass barrier; a \(d\)-dimensional recipe
• Morse potential energy spectra through the variational method and supersymmetry
• Exact solvability of potentials with spatially dependent effective masses
• Exact solutions of the two-dimensional Schrödinger equation with certain central potentials
• First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions
• Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
• Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential
• Effective mass Schrödinger equation and nonlinear algebras
• Perturbation theory in a framework of iteration methods
• Exactly solvable potentials for the Schrödinger equation with spatially dependent mass
• -fold supersymmetry in quantum systems with position-dependent mass
• Anyl-state improved quasi-exact analytical solutions of the spatially dependent mass Klein–Gordon equation for the scalar and vector Hulthén potentials
• A PERTURBATIVE TREATMENT FOR THE ENERGY LEVELS OF NEUTRAL ATOMS
• Approximate analytical solutions of the Klein–Gordon equation for the Hulthén potential with the position-dependent mass
• Bound state solutions of the Klein–Gordon equation with position-dependent mass for the inversely linear potential
• Position-dependent mass oscillators and coherent states
• Asymptotic iteration method for eigenvalue problems
• The extended Thomas–Fermi kinetic energy density functional with position-dependent effective mass in one dimension
• Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
• The Kepler problem in Dirac theory for a particle with position-dependent mass
• The Rotation-Vibration Coupling in Diatomic Molecules
• Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
• The supersymmetric modified Pöschl-Teller and delta well potentials
• Arbitrary ell-state solutions of the rotating Morse potential by the asymptotic iteration method
• d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass

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