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Quantum Theory from a Nonlinear Perspective

Name: Quantum Theory from a Nonlinear Perspective
Brand: Springer International Publishing AG
SKU: 16771779
Price: 112.96 EUR
Availability: InStock
Author: Dieter Schuch
ISBN: 9783319655925

Dieter Schuch

Language

English

Book Hardback

Libristo code: 16771779

Publishers Springer International Publishing AG, January 2018

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

Libristo code: 16771779

274 b

112.96 €

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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.