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Editorial

C. Artigues, D. Feillet, P. Michelon (2006)

RAIRO - Operations Research - Recherche Opérationnelle

Editorial

Jan Chleboun (2021)

Applications of Mathematics

Editorial

Stanislav Sysala, Petr Tichý (2022)

Applications of Mathematics

Editorial

Irina Perfilieva, Michael Wagenknecht (2009)

Acta Mathematica Universitatis Ostraviensis

Éditorial

A. Benchakroun, A. Mansouri (2008)

RAIRO - Operations Research

Eight exactly solvable complex potentials in Bender-Boettcher quantum mechanics

Znojil, Miloslav (2001)

Proceedings of the 20th Winter School "Geometry and Physics"

This is a readable review of recent work on non-Hermitian bound state problems with complex potentials. A particular example is the generalization of the harmonic oscillator with the potentials: V ( x ) = ω 2 2 x - 2 i β ω 2 - ω 2 . Other examples include complex generalizations of the Morse potential, the spiked radial harmonic potential, the Kratzer-Coulomb potential, the Rosen Morse oscillator and others. Instead of demanding Hermiticity H = H * the condition required is H = P T H P T where P changes the parity and T transforms i to - i .

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