A Group-Theoretical Method for Natanzon Potentials in Position-Dependent Mass Background
arXiv:0803.4376 · doi:10.1007/s10773-008-9804-0
Abstract
A new manner for deriving the exact potentials is presented. By making use of conformal mappings, the general expression of the effective potentials deduced under su(1,1) algebra can be brought back to the general Natanzon hypergeometric potentials.
References in corpus (5)
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- Pseudo-Hermitian coherent states under the generalized quantum condition with position-dependent mass
- Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states
- Energy spectra of Hartmann and ring-shaped oscillator potentials using the quantum Hamilton-Jacobi formalism