Quantum Theory from a Nonlinear Perspective

Riccati Equations in Fundamental Physics

Nonfiction, Science & Nature, Science, Physics, Chaotic Behavior, Quantum Theory
Cover of the book Quantum Theory from a Nonlinear Perspective by Dieter Schuch, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Dieter Schuch ISBN: 9783319655949
Publisher: Springer International Publishing Publication: January 20, 2018
Imprint: Springer Language: English
Author: Dieter Schuch
ISBN: 9783319655949
Publisher: Springer International Publishing
Publication: January 20, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Wireless World in 2050 and Beyond: A Window into the Future! by Dieter Schuch
Cover of the book Social Entrepreneurship as Sustainable Development by Dieter Schuch
Cover of the book Revisiting the Entrepreneurial Mind by Dieter Schuch
Cover of the book Simple Relation Algebras by Dieter Schuch
Cover of the book Algorithms and Architectures for Parallel Processing by Dieter Schuch
Cover of the book Building-Integrated Photovoltaic Systems (BIPVS) by Dieter Schuch
Cover of the book Membrane Proteins in Aqueous Solutions by Dieter Schuch
Cover of the book Ubiquitous Computing and Ambient Intelligence. Sensing, Processing, and Using Environmental Information by Dieter Schuch
Cover of the book Islamophobia in Britain by Dieter Schuch
Cover of the book European Security in Integration Theory by Dieter Schuch
Cover of the book Database Systems for Advanced Applications by Dieter Schuch
Cover of the book Catalysis for Green Energy and Technology by Dieter Schuch
Cover of the book Essays in Contemporary Economics by Dieter Schuch
Cover of the book Thermal Energy Storage with Phase Change Materials by Dieter Schuch
Cover of the book China's Rise in the Age of Globalization by Dieter Schuch
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy