Choon-Lin Ho

Dirac electron in a Coulomb field in (2+1)-dimensions

Exact solutions of Dirac equation in two spatial dimensions in the Coulomb field are obtained. Equation which determines the so-called critical charge of the Coulomb field is derived and solved for a simple model.

Properties of the Exceptional (

We present various results on the properties of the four infinite sets of the exceptional

X_{\ell}

X_{\ell}

) Laguerre and Jacobi Polynomials

polynomials discovered recently by Odake and Sasaki [{\it Phys. Lett. B} {\bf 679} (2009), 414-417; {\it Phys. Lett. B} {\bf 684} (2010), 173-176]. These

Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials

X_{\ell}

Planar Dirac electron in Coulomb and magnetic fields

polynomials are global solutions of second order Fuchsian differential equations with

Quasi-exact solvability of Dirac–Pauli equation and generalized Dirac oscillators

\ell+3

Zeros of the Exceptional Laguerre and Jacobi Polynomials

regular singularities and their confluent limits. We derive equivalent but much simpler looking forms of the

On the use of Mellin transform to a class of q-difference-differential equations

X_{\ell}

Planar Dirac electron in Coulomb and magnetic fields: A Bethe ansatz approach

polynomials. The other subjects discussed in detail are: factorisation of the Fuchsian differential operators, shape invariance, the forward and backward shift operations, invariant polynomial subspaces under the Fuchsian differential operators, the Gram-Schmidt orthonormalisation procedure, three term recurrence relations and the generating functions for the