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Quantum Theory from a Nonlinear Perspective: Riccati Equations in Fundamental Physics (Fundamental Theories of Physics #191) book cover by Dieter Schuch
Paperback

Quantum Theory from a Nonlinear Perspective: Riccati Equations in Fundamental Physics (Fundamental Theories of Physics #191)

by Dieter Schuch

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Paperback · 258 pages Springer International Publishing · 2019

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About the book

Quantum Theory from a Nonlinear Perspective

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.

Details

Publisher
Springer International Publishing
Author
Dieter Schuch
Format
Paperback
Published
Jun 6, 2019
ISBN-13
9783319880648
Pages
258
Printing
Printed on demand
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