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quant-ph2023
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…
quant-ph2023
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…
quant-ph2023
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…