Axel Schulze-Halberg

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Person:168527

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zbMath Open schulze-halberg.axelMaRDI QIDQ168527

List of research outcomes

PublicationDate of PublicationType
Quasi-exactly solvable potentials of the radial Dirac equation with two known levels2024-05-08Paper
\(N\)-multiplets of the radial Dirac equation2024-05-08Paper
Darboux algorithms for two-dimensional Dirac equations with upper triangular potential matrix2023-06-20Paper
Darboux transformations for Dunkl-Schroedinger equations with energy dependent potential and position dependent mass2023-01-27Paper
Dirac systems with magnetic field and position-dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators2021-09-21Paper
Characterization of Darboux transformations for quantum systems with quadratically energy-dependent potentials2021-09-06Paper
Generalized Schrödinger equations with quadratical energy-dependence in the potential: Darboux transformations and application to the Heun class2020-12-17Paper
Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation2020-12-02Paper
Higher-order Darboux transformations and Wronskian representations for Schrödinger equations with quadratically energy-dependent potentials2020-05-22Paper
Higher-order Darboux transformations for the massless Dirac equation at zero energy2019-08-08Paper
Regularity conditions for transformed potentials in the confluent supersymmetry algorithm2019-01-10Paper
Generalized Schrödinger equations with energy-dependent potentials: Formalism and applications2018-12-12Paper
The generalized confluent supersymmetry algorithm: Representations and integral formulas2018-05-09Paper
The generalized zero-mode supersymmetry scheme and the confluent algorithm2018-01-10Paper
Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential2018-01-02Paper
Construction of zero-energy states in graphene through the supersymmetry formalism2017-10-12Paper
Confluent supersymmetric partners of quantum systems emerging from the spheroidal equation2017-09-27Paper
Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials2017-08-01Paper
Pseudo-Hermitian and \(\mathcal{P}T\)-symmetric quantum systems with energy-dependent potentials: bound-state solutions and energy spectra2017-06-28Paper
Recursive representation of Wronskians in confluent supersymmetric quantum mechanics2017-04-11Paper
Generalized quantum nonlinear oscillators: Exact solutions and rational extensions2016-11-14Paper
Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials2016-08-29Paper
Arbitrary-order Jordan chains associated with quantum-mechanical Hamiltonians: Representations and integral formulas2016-03-21Paper
Burgers equation with time-dependent coefficients and nonlinear forcing term: linearization and exact solvability2016-01-26Paper
On integral and differential representations of Jordan chains and the confluent supersymmetry algorithm2015-10-23Paper
Two-parameter double-oscillator model of Mathews-Lakshmanan type: Series solutions and supersymmetric partners2015-08-10Paper
Darboux transformations for a generalized Dirac equation in two dimensions2015-06-10Paper
Green’s functions and trace formulas for generalized Sturm–Liouville problems related by Darboux transformations2015-05-06Paper
Intertwining relations and Darboux transformations for Schrödinger equations in (n+1) dimensions2015-04-21Paper
Index dependence of Bessel integral moments2015-04-20Paper
Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials2015-01-19Paper
The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials2014-11-06Paper
Rational extension and Jacobi-type X m solutions of a quantum nonlinear oscillator2014-04-28Paper
Supersymmetry of generalized linear Schrödinger equations in \((1+1)\) dimensions2014-04-16Paper
A position-dependent mass model for the Thomas-Fermi potential: exact solvability and relation to \(\delta\)-doped semiconductors2014-04-01Paper
Spectral properties of a confined nonlinear quantum oscillator in one and three dimensions2014-02-24Paper
Two-dimensional magnetic Schrödinger equations, Darboux transformations and solutions of associated auxiliary equations2014-01-14Paper
Explicit formulas for generalized harmonic perturbations of the infinite quantum well with an application to Mathieu equations2014-01-14Paper
Darboux transformations for (1+2)-dimensional Fokker-Planck equations with constant diffusion matrix2014-01-14Paper
Higher order Darboux transformations in two dimensions, linearizable auxiliary equations, and invariant potentials2013-09-24Paper
Darboux transformations for energy-dependent potentials and the Klein-Gordon equation2013-08-19Paper
Higher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations2012-09-18Paper
Modified Darboux transformations with foreign auxiliary equations2012-07-09Paper
https://portal.mardi4nfdi.de/entity/Q28955702012-07-03Paper
Combined Sundman–Darboux transformations and solutions of nonlinear ordinary differential equations of second order2012-05-11Paper
Exact solutions of the Fokker-Planck equation from an \(n\)th order supersymmetric quantum mechanics approach2012-01-06Paper
Two-dimensional generalized harmonic oscillators and their Darboux partners2011-12-23Paper
Two-dimensional Darboux transformations for non-separable angular equations and solvable non-central potentials2011-11-08Paper
Intertwining operator method and supersymmetry for effective mass Schrödinger equations2011-10-21Paper
Time-dependent Schrödinger equations with effective mass in (2 + 1) dimensions: intertwining relations and Darboux operators2011-08-08Paper
Quasi-exact solvability of a hyperbolic intermolecular potential induced by an effective mass step2011-05-27Paper
PROPAGATORS OF GENERALIZED SCHRÖDINGER EQUATIONS RELATED BY HIGHER-ORDER SUPERSYMMETRY2011-04-15Paper
Two-parameter ladder operators for spherical Bessel functions2010-04-14Paper
Darboux transformations for the time-dependent nonhomogeneous Burgers equation in (1+1) dimensions2010-02-12Paper
Explicit Darboux transformations of arbitrary order for generalized time-dependent Schrödinger equations2009-11-24Paper
Darboux transformations and supersymmetry for the generalized Schrödinger equations in (1+1) dimensions2009-08-04Paper
A New Formula to Obtain Exact Green's Functions of Time-Dependent Schrödinger Equation2009-07-22Paper
A simple method for constructing non-liouvillian first integrals of autonomous planar systems2009-02-09Paper
DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS2008-11-03Paper
TRACE FORMULA FOR GREEN'S FUNCTIONS OF EFFECTIVE MASS SCHRÖDINGER EQUATIONS AND NTH-ORDER DARBOUX TRANSFORMATIONS2008-10-17Paper
A trace formula for Dirac Green's functions related by Darboux transformations2008-08-01Paper
A CLASS OF EXACT SOLUTIONS OF THE TIME-DEPENDENT SCHRÖDINGER EQUATION WITH TIME-DEPENDENT MASS2008-06-27Paper
DARBOUX TRANSFORMATIONS FOR N-DIMENSIONAL EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH HYPERSPHERICAL SYMMETRY2008-06-03Paper
https://portal.mardi4nfdi.de/entity/Q54420362008-02-15Paper
Form-preserving transformations for the time-dependent Schrödinger equation in \((n+1)\) dimensions2008-01-28Paper
EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS2007-07-23Paper
New exact solutions of the non-homogeneous Burgers equation in (1+1) dimensions2007-04-25Paper
Form-preserving transformations of the time-dependent Klein–Gordon equation and the generation of solvable potentials2007-03-16Paper
REALITY CONDITION FOR DARBOUX TRANSFORMATIONS OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS2007-02-09Paper
DARBOUX TRANSFORMATIONS FOR TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS2006-05-10Paper
Stable periodic solutions for delay equations with positive feedback -- a computer-assisted proof2006-03-29Paper
On quasi-exact solvability of the Schrödinger equation for a free particle on the surface of a spindle torus2006-02-20Paper
Form-preserving transformations for Hamiltonians with linear terms in the momentum2006-01-23Paper
IMPROVED SUSY INSPIRED VARIATIONAL METHOD TO OBTAIN BOUND STATE ENERGIES OF THE SCREENED COULOMB POTENTIAL2005-12-09Paper
EXACT WAVE FUNCTIONS AND ENERGIES OF A NON-RELATIVISTIC FREE QUANTUM PARTICLE ON THE SURFACE OF A DEGENERATE TORUS2005-11-28Paper
EQUIVALENCE OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH CONSTANT AND TIME-DEPENDENT MASS2005-10-31Paper
Comment on ‘Generalization of the Darboux transformation and generalized harmonic oscillators’2005-09-29Paper
A METHOD OF GENERATING EXACT SOLUTIONS OF THE TIME-DEPENDENT SCHRÖDINGER EQUATION WITH TIME-DEPENDENT MASS2005-08-31Paper
https://portal.mardi4nfdi.de/entity/Q54666352005-08-24Paper
https://portal.mardi4nfdi.de/entity/Q46706472005-04-22Paper
Non-existence of Liouvillian solutions for a free quantum particle on a torus surface. I: Polar states2005-03-15Paper
Comment on: H Eğrifeset al, “Exact Solutions of the Schrödinger Equation for Two Deformed Hyperbolic Molecular Potentials” (1999Physica Scripta60195–8)2005-03-11Paper
Quasi-Exactly Solvable Singular Fractional Power Potentials Emerging from the Triconfluent Heun Equation2005-03-11Paper
https://portal.mardi4nfdi.de/entity/Q46559452005-03-08Paper
Hidden Symmetry in Quasi-Exactly Solvable Fractional Power Potentials2004-10-05Paper
https://portal.mardi4nfdi.de/entity/Q44693152004-06-14Paper
https://portal.mardi4nfdi.de/entity/Q47061462004-03-29Paper
https://portal.mardi4nfdi.de/entity/Q45512272002-09-05Paper
https://portal.mardi4nfdi.de/entity/Q45512392002-09-05Paper
https://portal.mardi4nfdi.de/entity/Q45512582002-09-05Paper
https://portal.mardi4nfdi.de/entity/Q45399722002-07-16Paper
https://portal.mardi4nfdi.de/entity/Q27216842001-07-10Paper
EXACT SOLUTION OF THE DIRAC EQUATION FOR A SINGULAR CENTRAL POWER POTENTIAL2001-05-02Paper
Exact solutions of the Schrödinger equation with irregular singularity.2001-03-29Paper
Properties of an Algebraic Transformation for 1D Schrödinger Potentials2000-10-15Paper

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