Short survey of Darboux transformations
arXiv:quant-ph/9809056
Abstract
A selective chronological survey of Darboux transformations as related to supersymmetric quantum mechanics, intertwining operators and inverse scattering techniques is presented. Short comments are appended to each quotation and basic concepts are explained in order to provide a useful primer
17 pages, talk at Burgos Int. Workshop, Sept. 1998; v3 has misprints corrected and several other improvements with respect to v2
Cited by in corpus (7)
- Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems
- Transmutations and spectral parameter power series in eigenvalue problems
- Darboux class of cosmological fluids with time-dependent adiabatic indices
- Coherent states for exactly solvable time-dependent oscillators generated by Darboux transformations
- One-parameter Darboux-transformed quantum actions in Thermodynamics
- Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
- On a SUSY QM scheme for any linear homogeneous differential equation of the second order