[DOWNLOAD] "On Solvable Potentials, Supersymmetry, And the One-Dimensional Hydrogen Atom (Report)" by R.P. Nunez-Yepez, H.N. Salas-Brito, A.L. Martinez-y-Romero * eBook PDF Kindle ePub Free

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eBook details

• Title: On Solvable Potentials, Supersymmetry, And the One-Dimensional Hydrogen Atom (Report)
• Author : R.P. Nunez-Yepez, H.N. Salas-Brito, A.L. Martinez-y-Romero
• Release Date : January 01, 2010
• Genre: Engineering,Books,Professional & Technical,
• Pages : * pages
• Size : 74 KB

Description

A paper of Morales et. al. [1] has discussed the use of supersymmetric and shape invariance techniques and of Darboux and intertwining transformations, for building new solvable potentials. To illustrate these ideas they apply them to hydrogen-like potentials and to radial and one-dimensional problems. They assert [page 23 of [1], in the paragraph after Equation (39)] that the potential corresponding to a one-dimensional hydrogen atom, i. e. a one-dimensional Coulomb potential, is nonexistent. They further claim that there is no superpotential associated with the -1/[absolute value of x] potential energy term [page 22 of [1], in the paragraph just before their Equation (36)]. In this letter we want to challenge these two affirmations. Throughout this work we use atomic units [q.sub.e] = ~ = m = 1. In this paper we want to discuss their results concerning such 1D problem.

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