Interplay between Riccati, Ermakov, and Schrödinger equations to produce complex‐valued potentials with real energy spectrum

Nonlinear Riccati and Ermakov equations are combined to pair the energy spectrum of 2 different quantum systems via the Darboux method. One of the systems is assumed Hermitian, exactly solvable, with discrete energies in its spectrum. The other system is characterized by a complex‐valued potential t...

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Vydáno v:	Mathematical methods in the applied sciences Ročník 42; číslo 15; s. 4925 - 4938
Hlavní autoři:	Blanco‐Garcia, Zurika, Rosas‐Ortiz, Oscar, Zelaya, Kevin
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Freiburg Wiley Subscription Services, Inc 01.10.2019
Témata:	Eigenvalues Energy spectra general mathematical topics and methods in quantum theory Mathematical analysis Nonlinear equations non‐selfadjoint operator theory in quantum theory quantum theory Schrodinger equation Singularity (mathematics) supersymmetry and quantum mechanics
ISSN:	0170-4214, 1099-1476
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