Resolvent Operator Transformations and Bound-State Solutions for Confluent Natanzon Potentials

2009/08/17 by S. -A. Yahiaoui, Yahiaoui, S. -A., M. Bentaiba +1
Mathematics · Physics and Astronomy · #02.20.-a #FOS: Physical sciences #Mathematical Physics (math-ph) #PACS: 03.65.Fd #math-ph #math.MP #msc:02.20.-a #msc:03.65.Fd

paper · pdf · doi:10.48550/arxiv.0908.2293

11 pages

arxiv created 2009/08/17 · arxiv updated 2009/12/01

Abstract

An algebraic method of constructing the confluent Natanzon potentials endowed with position-dependent mass is presented. This is possible by identifying the scaling resolvent operator (Green's function) to nonrelativistic position-dependent mass Schrodinger equation.

Related

• A new class of quasi-exactly solvable potentials with position dependent mass
• Interrelation among Solvable Potentials and Extensions of SWKB Quantization Condition
• A large class of bound-state solutions of the Schrödinger equation via Laplace transform of the confluent hypergeometric equation
• Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials
• New results concerning the so(2,1) treatment for the hypergeometric Natanzon potentials