Displaying similar documents to “Eight exactly solvable complex potentials in Bender-Boettcher quantum mechanics”

Properties of non-hermitian quantum field theories

Carl M. Bender (2003)

Annales de l’institut Fourier

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In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under 𝒞 𝒫 𝒯 , but not symmetric under 𝒫 and 𝒯 separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are - φ 4 and i φ 3 theories. These theories all have unexpected and remarkable properties....

q -deformed inverse scattering problem

Hrubý, J.

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Summary: Starting from the physical point of view on the Miura transformation as reflectionless potential and its connection with supersymmetry we define a scaling q -deformation of this to obtain q -deformed supersymmetric quantum mechanics. An application to an inverse scattering problem is given.