Modular Schrödinger equation and dynamical duality

Details Modular Schrödinger equation and dynamical duality Modular Schrödinger equation and dynamical duality

2008-05-11

arxiv.org/abs/0805.1536v2

Phys. Rev. E 78, 031101, (2008)

Physics

Quantum Physics

To appear in Phys. Rev. E (2008)

Scientific paper

10.1103/PhysRevE.78.031101

We discuss quite surprising properties of the one-parameter family of modular (Auberson and Sabatier (1994)) nonlinear Schr\"{o}dinger equations. We develop a unified theoretical framework for this family. Special attention is paid to the emergent \it dual \rm time evolution scenarios which, albeit running in the \it real time \rm parameter of the pertinent nonlinear equation, in each considered case, may be mapped among each other by means of an "imaginary time" transformation (more seriously, an analytic continuation in time procedure).

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