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Quantum Simulation
Quantum State Preparation Representation
Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials
arXiv
Authors: C. -L. Ho, J. -C. Lee, R. Sasaki
Year
2013
Paper ID
32592
Status
Preprint
Abstract Read
~2 min
Abstract Words
68
Citations
N/A
Abstract
New solvable one-dimensional quantum mechanical scattering problems are presented. They are obtained from known solvable potentials by multiple Darboux transformations in terms of virtual and pseudo virtual wavefunctions. The same method applied to confining potentials, e.g. Pöschl-Teller and the radial oscillator potentials, has generated the {\em multi-indexed Jacobi and Laguerre polynomials}. Simple multi-indexed formulas are derived for the transmission and reflection amplitudes of several solvable potentials.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2013 reference point for readers tracking recent quantum research.
- New solvable one-dimensional quantum mechanical scattering problems are presented.
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