An exactly solvable symmetric potential from the Natanzon class

DOI10.1088/0305-4470/36/27/313zbMath1047.81569arXivquant-ph/0306031OpenAlexW2949984344MaRDI QIDQ4468251

Anjana Sinha, Géza Lévai, Pinaki Roy

Publication date: 10 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0306031

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60)

Related Items (16)

Accidental crossing of energy eigenvalues in \(\mathcal{P}T\)-symmetric Natanzon-class potentials ⋮ Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system ⋮ \({\mathcal {PT}}\) symmetry in Natanzon-class potentials ⋮ \(\mathcal{PT}\) symmetry of a conditionally exactly solvable potential ⋮ Comparative analysis of real and \(\mathcal{PT}\)-symmetric scarf potentials ⋮ \(N\)-site-lattice analogues of \(V(x) = \text ix^3\) ⋮ On the normalization constant of \(PT\)-symmetric and real Rosen-Morse I potentials ⋮ Handedness of complex PT-symmetric potential barriers ⋮ An ansatz for the eigenstates in \(\mathcal{PT}\)-symmetric quantum mechanics ⋮ Time-dependent PT symmetric problems ⋮ Shape invariant Natanzon potential hierarchy and its twin: a novel approach ⋮ Decays of degeneracies in \(\mathcal PT\)-symmetric ring-shaped lattices ⋮ Asymptotic properties of solvable \({\mathcal{PT}}\)-symmetric potentials ⋮ Lower bound of minimal time evolution in quantum mechanics ⋮ A group-theoretical method for Natanzon potentials in position-dependent mass background by means of conformal mappings ⋮ The finite ${\mathcal{PT}}$ -symmetric square well potential

This page was built for publication: An exactly solvable    symmetric potential from the Natanzon class