Overview: A unique survey of the power of Riccati equations to describe reversible and irreversible processes in many areas of physics.Particular attention paid to non-linear versions of the Schrödinger equatioThis book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, p
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