Strictly isospectral potentials from excited quantum states

2000/08/20 by R. Klippert, H. C. Rosu
Physics and Astronomy · #quant-ph

paper · pdf

published as Int. J. Theor. Phys. 41 (2002) 331-340 · 13 pages in latex epsfig, 8 figures, misprints in Eq. 11 corrected

arxiv created 2000/08/20 · arxiv updated 2009/12/01

Abstract

The strictly nonrelativistic isospectral scheme based on the general Riccati solution and Darboux transformation function corresponding to excited states is presented on the following examples: the harmonic oscillator, the square well, and the hydrogen atom

Related

• Strictly isospectral supersymmetry and Schroedinger general zero modes
• Strictly isospectral SUSY potentials and the Riccati superposition principle
• Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivatives
• Using strictly isospectral unbroken nonrelativistic supersymmetry as a toy model
• Supersymmetric quantum mechanics based on higher excited states II: a few examples of isospectral partner potentials