Relativistic potentials with rational extensions

  title={Relativistic potentials with rational extensions},
  author={K. Haritha and K V S Shiv Chaitanya},
In this paper, we construct isospectral Hamiltonians without shape-invariant potentials for the relativistic quantum mechanical potentials such as the Dirac oscillator and hydrogen-like atom. 
1 Citations
Statistical mechanics of DNA mutation using SUSY quantum mechanics
This paper investigates the deoxyribonucleic acid (DNA) denaturation through statistical mechanics and demonstrates that the exceptional polynomials lead to DNA mutation. A DNA model with two chains


Rational extensions of solvable potentials and exceptional orthogonal polynomials
We present a generalized SUSY QM partnership in which the DBT are built on the excited states Riccati-Schrödinger (RS) functions regularized via specific discrete symmetries of translationally shape
Dirac oscillator in a space with spin noncommutativity of coordinates
The movement of relativistic particle of spin-1 2 submitted to the field of the Dirac oscillator (DO) is studied in space where the coordinates have the properties of spin noncommutativity (SNC). The
Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
We construct two new exactly solvable potentials giving rise to bound-state solutions to the Schrödinger equation, which can be written in terms of the recently introduced Laguerre- or Jacobi-type X1
Exceptional polynomials and SUSY quantum mechanics
We show that for the quantum mechanical problem which admit classical Laguerre / Jacobi polynomials as solutions for the Schrödinger equations (SE), will also admit exceptional Laguerre /Jacobi
Dirac Equation in the Presence of Hartmann and Ring-Shaped Oscillator Potentials
  • Z. Bakhshi
  • Physics
    Advances in High Energy Physics
  • 2018
The importance of the energy spectrum of bound states and their restrictions in quantum mechanics due to the different methods have been used for calculating and determining the limit of them.
Harmonic oscillator Wigner function extension to exceptional polynomials
In this paper, we construct isospectral Hamiltonians without shape invariant potentials for a harmonic oscillator Wigner function on a real line. In this case, we actually remove the ground state of
Exceptional orthogonal polynomials
  • exactly solvable potentials and supersymmetry JPA, 41, 392001.,
  • 2008