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Quantum Theory from a Nonlinear Perspective

von Dieter Schuch
Softcover - 9783319880648
117,69 €
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Hardcover - 9783319655925
117,69 €

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Weitere Formate

Hardcover - 9783319655925
117,69 €

Beschreibung

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.

Riccati Equations in Fundamental Physics

Riccati Equations in Fundamental Physics

Details

Verlag Springer International Publishing
Ersterscheinung 06. Juni 2019
Maße 23.5 cm x 15.5 cm
Gewicht 417 Gramm
Format Softcover
ISBN-13 9783319880648
Auflage Softcover reprint of the original 1st ed. 2018
Seiten 258

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