Results 91 to 100 of about 7,066 (206)

Heun’s differential equation and its q-deformation [PDF]

AIP Conference Proceedings, 2019
6 ...
openaire   +2 more sources

Schrödinger equation as a confluent Heun equation

Physica Scripta
Abstract This article deals with two classes of quasi-exactly solvable (QES) trigonometric potentials for which the one-dimensional Schrödinger equation reduces to a confluent Heun equation (CHE) where the independent variable takes only finite values.
openaire   +2 more sources

Quasi-exact solvable Dirac equation for the generalized Cornell potential plus a novel angle-dependent potential

Journal of Innovative Applied Mathematics and Computational Sciences
In this paper, we present the exact analytical solution of the Dirac equation with equal scalar and vector generalized Cornell potential plus a novel angle-dependent potential in the framework of quasi-exactly solvable problems.
Djahida Bouchefra, Badredine Boudjedaa
doaj   +1 more source

The 192 solutions of the Heun equation [PDF]

Mathematics of Computation, 2006
A machine-generated list of 192 local solutions of the Heun equation is given. They are analogous to Kummer's 24 solutions of the Gauss hypergeometric equation, since the two equations are canonical Fuchsian differential equations on the Riemann sphere with four and three singular points, respectively. Tabulation is facilitated by the identification of
openaire   +3 more sources

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

European Physical Journal C: Particles and Fields, 2019
The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered.
Daniel F. Lima, Fabiano M. Andrade, Luis B. Castro, Cleverson Filgueiras, Edilberto O. Silva   +4 more
doaj   +1 more source

The exact relativistic scalar quasibound states of the dyonic Kerr–Sen black hole: quantized energy, and Hawking radiation

European Physical Journal C: Particles and Fields
We consider Klein–Gordon equation in the Dyonic Kerr–Sen black hole background, which is the charged rotating axially symmetric solution of the Einstein–Maxwell–Dilaton–Axion theory of gravity.
David Senjaya, Piyabut Burikham, Tiberiu Harko   +2 more
doaj   +1 more source

On spectral polynomials of the Heun equation. I

Journal of Approximation Theory, 2010
The classical Heun equation has the form {Q(z) d^2/dz^2 +P(z) d/dz +V(z)}S(z)=0 where Q(z) is a cubic, P(z) at most quadratic and V(z) linear polynomials resp. In the second half of the 19-th century E.Heine and T.STieltjes initiated the study of the set of all V(z) such that the above equation has a polynomial solution S(z) of a given degree n.
Shapiro, Boris, Tater, Milos
openaire   +3 more sources

Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes

Journal of High Energy Physics
We study linear scalar perturbations of slowly accelerating Kerr-Newman-anti-de Sitter black holes using the method of isomonodromic deformations.
Julián Barragán Amado, Bogeun Gwak
doaj   +1 more source

Scalar quasibound states in Einstein-Maxwell-Bumblebee black holes with non-minimal Maxwell-Bumblebee coupling

Nuclear Physics B
We investigate the dynamics of a relativistic scalar field in a static spherically symmetric Einstein-Maxwell-Bumblebee black hole spacetime in (3+1) dimensions, incorporating non-minimal Maxwell-Bumblebee coupling. The covariant Klein-Gordon equation is
David Senjaya
doaj   +1 more source

The violation of a uniqueness theorem and an invariant in the application of Poincar\'{e}--Perron theorem to Heun's equation

, 2019
The domain of convergence of a Heun function obtained through the Poincar\'{e}--Perron (P--P) theorem is not absolute convergence but conditional one [2].
Choun, Yoon-Seok
core