4 papers
Classes of exact solutions for the massless Dirac particle in the -metric
Priyasri Kar
The massless Dirac particle in the -metric, representing the exterior gravitational field of a uniformly accelerating black hole, is studied. Classes of (quasi-)polynomial solut…
Bi-parametric structure of the Heun class of equations and quasi-polynomial solutions
Priyasri Kar
A new bi-parametric algebraization of the Heun class of equations is explored. This yields additional quasi-polynomial solutions of the form $\{z^αP_N(z): \ α\in \mathbb{…
Heun polynomials and exact solutions for the massless Dirac particle in the C-metric
Priyasri Kar, Ritesh K. Singh, Ananda Dasgupta +1
The equation of motion of a massless Dirac particle in the C-metric leads to the general Heun equation (GHE) for the radial and the polar variables. The GHE, under certain parametr…
On Spectrum Generating Algebra of the Heun Operator
Priyasri Kar, Ritesh K. Singh, Ananda Dasgupta +1
The Heun operator has been cast, in terms of the elements of an underlying algebra, under specific parametric conditions, for the purpose of spectrum generation. These el…