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Book synopsis

This book provides a unique survey displaying the power of Riccati equations to describe 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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Quantum Theory from a Nonlinear Perspective
• Author: Dieter Schuch
• Language: English
• Binding: Hardback
• Number of pages: 258
• EAN: 9783319655925
• ISBN: 3319655922
• ID: 16771779
• Publisher: Springer International Publishing AG
• Weight: 680 g
• Dimensions: 235 × 155 × 21 mm
• Date of publishing: 30. January 2018

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