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Non-linear approach to coherent and fluctuating processes in condensed matter and optical physics

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Nonlinear effects play a significant role in biomolecular dynamics and in many biophysical systems. Classical and quantum versions of the discrete self trapping equation form useful models for biomolecules and highly ordered thin films. For solving discrete quantum problems the number state method is simpler and more general than the quantum inverse scattering method. Anisotropic pairing interaction plays a dominant role for the physical properties of high critical temperature superconducting materials. Anti-integrability is important for the existence of chaotic bipolaronic and polaronic structures in models describing strongly coupled electrons and phonons. Bipolaronic and polaronic states have been used as a starting point for a microscopic theory for high critical temperature superconductors. Models of energy harvesting and transfer in organic LB-thin films have been developed. Multiple defect dynamics can act cooperatively under external driving such that proton flow along a molecular chain is produced. An infrared detected proton pathway in the L-intermediate of the bacteriorhodopsin molecule may be described by soliton theory.

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