Quantum mechanical spectral engineering by scaling intertwining

Abstract

Using the concept of spectral engineering we explore the possibilities of building potentials with prescribed spectra offered by a modified intertwining technique involving operators which are the product of a standard first-order intertwiner and a unitary scaling. In the same context we study the iterations of such transformations finding that the scaling intertwining provides a different and richer mechanism in designing quantum spectra with respect to that given by the standard intertwining

8 twocolumn pages, 5 figures

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Cited by in corpus (9)

• Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics
• Trends in supersymmetric quantum mechanics
• Quons, coherent states and intertwining operators
• Gamow-Siegert functions and Darboux-deformed short range potentials
• A Primer on Resonances in Quantum Mechanics
• Intertwining operators between different Hilbert spaces: connection with frames
• Vector coherent states and intertwining operators
• Non-isospectral Hamiltonians, intertwining operators and hidden hermiticity
• Perfect Quantum State Revivals: Designing Arbitrary Potentials with Specified Energy Levels