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quant-ph2017
Exact solutions of a class of double-well potentials: Algebraic Bethe ansatz
Marzieh Baradaran, Hossein Panahi
In this paper, applying the Bethe ansatz method, we investigate the Schrödinger equation for the three quasi-exactly solvable double-well potentials, namely the generalized Manning…
math-ph2017★ 1 cited
Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions
Marzieh Baradaran, Jose A. Carrasco, Federico Finkel +1
We completely solve the problem of classifying all one-dimensional quantum potentials with nearest- and next-to-nearest-neighbors interactions whose ground state is Jastrow-like, i…
math-ph2017
Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential
Marzieh Baradaran, Hossein Panahi
In this paper, we study the Schrödinger equation with a new quasi-exactly solvable double-well potential. Exact expressions for the energies, the corresponding wave functions and t…