Overview
- A unique survey of the power of Riccati equations to describe reversible and irreversible processes in many areas of physics
- Particular attention paid to non-linear versions of the Schrödinger equation
- Reveals parallels in many seeming unrelated areas of physics, from quantum physics to fluid mechanics and cosmology
- Author is a foremost expert with many years of experience in the field
Part of the book series: Fundamental Theories of Physics (FTPH, volume 191)
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Table of contents (8 chapters)
Keywords
- Complex Riccati Equations
- Connecting Nonlinear Dynamics and Quantum Mechanics
- Dissipation in Classical and Quantum Mechanics
- Ermakov Systems and Invariants
- Irreversibility in Classical and Quantum Mechanics
- Nonlinear Riccati Equations
- Nonlinearities in Quantum Mechanics
- ordinary differential equations
About this book
Authors and Affiliations
About the author
Institut fuer Theoretische Physik
Goethe-Universitaet Frankfurt am Main
Max-von-Laue-Str. 1
D-60438 Frankfurt am Main, Germany
Dieter Schuch received his Dr. Phil. nat. (1982) for Theoretical and Physical Chemistry at the J.W. Goethe-Universität Frankfurt am Main where he was also awarded his Habilitation for Theoretical Physics in 1992 and has been an Apl.-Professor since 2002. Guest Professorships and collaborations took him to IBM, New York, Toronto, Canada, Auckland, New Zealand, Nice, France, UNAM and CINVESTAV, Mexico, Granada, Spain, Salerno, Italy and the Frankfurt Institute for Advanced Studies (FIAS). Since 2009, he has undertaken the organization of the international conference series “Symmetries in Science”.
Bibliographic Information
Book Title: Quantum Theory from a Nonlinear Perspective
Book Subtitle: Riccati Equations in Fundamental Physics
Authors: Dieter Schuch
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-3-319-65594-9
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-65592-5Published: 30 January 2018
Softcover ISBN: 978-3-319-88064-8Published: 06 June 2019
eBook ISBN: 978-3-319-65594-9Published: 20 January 2018
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 1
Number of Pages: XIV, 258
Number of Illustrations: 8 b/w illustrations, 7 illustrations in colour
Topics: Quantum Physics, Applications of Nonlinear Dynamics and Chaos Theory, Ordinary Differential Equations, History and Philosophical Foundations of Physics