A new exactly solvable Eckart-type potential
Elso Drigo Filho, Regina Maria Ricotta
TL;DR
This paper introduces a new exactly solvable Eckart-type potential, extending the Hulthen potential, and explores its properties using Supersymmetric Quantum Mechanics, including Hamiltonian hierarchies and shape invariance.
Contribution
It presents a novel analytically solvable potential generalizing the Hulthen potential and analyzes its supersymmetric properties.
Findings
New exactly solvable Eckart-type potential introduced
Hierarchy of Hamiltonians constructed for the potential
Shape invariance property demonstrated
Abstract
A new exact analytically solvable Eckart-type potential is presented, a generalisation of the Hulthen potential. The study through Supersymmetric Quantum Mechanics is presented together with the hierarchy of Hamiltonians and the shape invariance property.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Statistical Mechanics and Entropy · Quantum chaos and dynamical systems