6533b827fe1ef96bd128705a
RESEARCH PRODUCT
Modular Schrödinger equation and dynamical duality.
Piotr Garbaczewskisubject
PhysicsHigh Energy Physics - TheoryQuantum PhysicsNonlinear Sciences - Exactly Solvable and Integrable SystemsStochastic processTime evolutionDuality (optimization)Schrödinger equationsymbols.namesakeNonlinear systemClassical mechanicssymbolsDissipative systemQuantumBrownian motionCondensed Matter - Statistical MechanicsMathematical Physicsdescription
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).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-09-02 | Physical review. E, Statistical, nonlinear, and soft matter physics |