An Explicit Example of a Local and a Nonlocal Potential Whose Hamiltonians Are Unitarily Equivalent and Whose Scattering Operators Are Identical

DOI10.1002/sapm198266145zbMath0505.34020OpenAlexW2396515415MaRDI QIDQ4740845

Brian DeFacio, Phillip B. Abraham, H. E. Moses

Publication date: 1982

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198266145

zbMATH Keywords

Schrödinger operatorscattering operatorunitary equivalence

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Ordinary differential operators (34L99)

Cites Work

• Calculation of the Scattering Potential from Reflection Coefficients
• Reflectionless Transmission through Dielectrics and Scattering Potentials
• Inverse scattering on the line

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