Title Quantum Theory from a Nonlinear Perspective : Riccati Equations in Fundamental Physics Author(s) Schuch, Dieter Publication Cham, Springer International Publishing, 2018. Description XIV, 258 p. 15 illus., 7 illus. in color : online resource Abstract Note This 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, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws ISBN,Price 9783319655949 Keyword(s) 1. Applications of Nonlinear Dynamics and Chaos Theory 2. DIFFERENTIAL EQUATIONS 3. EBOOK 4. EBOOK - SPRINGER 5. History and Philosophical Foundations of Physics 6. ORDINARY DIFFERENTIAL EQUATIONS 7. PHYSICS 8. QUANTUM PHYSICS 9. STATISTICAL PHYSICS Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I10013     On Shelf