30 citations · 194 across the 17 of their papers we have counts for
20 papers
Rational Extension of Quantum Anisotropic Oscillator Potentials with Linear and/or Quadratic Perturbations
Rajesh Kumar Yadav, Rajesh Kumar, Avinash Khare
We present a comprehensive study of the rational extension of the quantum anisotropic harmonic oscillator (QAHO) potentials with linear and/or quadratic perturbations. For the one-…
Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions
Rajesh Kumar, Rajesh Kumar Yadav, Avinash Khare
This paper presents the first-order supersymmetric rational extension of the quantum anisotropic harmonic oscillator (QAHO) in multiple dimensions, including full-line, half-line,…
One continuous parameter family of Dirac Lorentz scalar potentials associated with exceptional orthogonal polynomials
Suman Banerjee, Rajesh Kumar Yadav
We extend our recent works [ Int. J. Mod. Phys. A 38 (2023) 2350069-1] and obtain one parameter family of rationally extended Dirac Lorentz scalar potentials with their expli…
A Class of Exactly Solvable Real and Complex Symmetric Reflectionless Potentials
Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare +1
We consider the question of the number of exactly solvable complex but PT-invariant reflectionless potentials with bound states. By carefully considering the rationally e…
Rationally Extended Harmonic Oscillator potential, Isospectral Family and the Uncertainity Relations
Rajesh Kumar, Rajesh Kumar Yadav, Avinash Khare
We consider the rationally extended harmonic oscillator potential which is isospectral to the conventional one and whose solutions are associated with the exceptional, - Hermi…
Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetry
Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare +2
We consider -dimensional Dirac equation with rationally extended scalar potentials corresponding to the radial oscillator, the trigonometric Scarf and the hyperbolic Poschl-Te…
One parameter family of rationally extended isospectral potentials
Rajesh Kumar Yadav, Suman Banerjee, Nisha Kumari +2
We start from a given one dimensional rationally extended potential associated with exceptional orthogonal polynomials and using the idea of supersymmetry in quantum mechanic…
Rationally extended many-body truncated Calogero-Sutherland model
Rajesh Kumar Yadav, Avinash Khare, Nisha Kumari +1
We construct a rational extension of the truncated Calogero-Sutherland model by Pittman et al. The exact solution of this rationally extended model is obtained analytically and it…
A class of exactly solvable rationally extended non-central potentials in Two and Three Dimensions
Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare +1
We start from a seven parameters (six continuous and one discrete) family of non-central exactly solvable potential in three dimensions and construct a wide class of ten parameters…
Role of conditional shape invariance symmetry property to obtain eigen-spectrum of the generalized polynomial potential with a Coulomb term
Sudesna Bera, Rajesh Kumar Yadav, Barnali Chakrabarti +1
A method based on supersymmteric (SUSY) quantum mechanics has been developed by exploiting conditional Shape invariance property for obtaining exact ground state solution of genera…
A short note on "Group theoretic approach to rationally extended shape invariant potentials" [Annals of Physics 359, 46 (2015)]
Arturo Ramos, Bijan Bagchi, Avinash Khare +3
It is proved the equivalence of the compatibility condition of [A. Ramos, J. Phys. A 44 (2011) 342001, Phys. Lett. A 376 (2012) 3499] with a condition found in [Yadav et al., Ann.…
A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems
Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare +1
In this work, we start from the well known Calogero-Wolfes type 3-body problems on a line and construct the corresponding exactly solvable rationally extended 3-body potentials. In…
Scattering amplitudes for the rationally extended P T symmetric complex potentials
Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare +2
In this paper, we consider the rational extensions of two different P T symmetric complex potentials namely the asymptotically vanishing Scarf II and asymptotically non-vanishing R…
Parametric symmetries in exactly solvable real and P T symmetric complex potentials
Rajesh Kumar Yadav, Avinash Khare, Bijan Bagchi +2
In this paper, we discuss the parametric symmetries in different exactly solvable systems characterized by real or complex P T symmetric potentials. We focus our at- tention on the…
Group theoretic approach to rationally extended shape invariant potentials
Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare +1
The exact bound state spectrum of rationally extended shape invariant real as well as symmetric complex potentials are obtained by using potential group approach. The generato…
Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional polynomials
Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare +1
Rationally extended shape invariant potentials in arbitrary D-dimensions are obtained by using point canonical transformation (PCT) method. The bound-state solutions of these exact…
The Scattering amplitude for Rationally extended shape invariant Eckart potentials
Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal
We consider the rationally extended exactly solvable Eckart potentials which exhibit extended shape invariance property. These potentials are isospectral to the conventional Eckart…
The Scattering amplitude for one parameter family of shape invariant potentials related to Xm Jacobi polynomials
Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandala
We consider the recently discovered, one parameter family of exactly solvable shape invariant potentials which are isospectral to the generalized Pöschl-Teller potential. By explic…
PT phase transition in higher-dimensional quantum systems
Bhabani Prasad Mandal, Brijesh Kumar Mourya, Rajesh Kumar Yadav
We consider a 2d anisotropic SHO with {\bf ixy} interaction and a 3d SHO in an imaginary magnetic field with . interaction to study the phase transition analy…
The Scattering amplitude for Newly found exactly solvable Potential
Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal
The scattering amplitude for the recently discovered exactly solvable shape invariant potential, which is isospectral to the generalized Pöschl-Taylor potential, is calculated expl…