Fundamental Theories of Physics- Quantum Theory from a Nonlinear Perspective Riccati Equations in Fundamental Physics
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Auteur:
Dieter Schuch
- Engels
- Paperback
- 9783319880648
- 06 juni 2019
- 258 pagina's
Samenvatting
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. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities.
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.
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.
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- Bindwijze
- Paperback
- Oorspronkelijke releasedatum
- 06 juni 2019
- Aantal pagina's
- 258
- Illustraties
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Betrokkenen
- Hoofdauteur
- Dieter Schuch
- Hoofduitgeverij
- Springer International Publishing Ag
Overige kenmerken
- Editie
- Softcover reprint of the original 1st ed. 2018
- Extra groot lettertype
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- Product breedte
- 155 mm
- Product lengte
- 235 mm
- Studieboek
- Nee
- Verpakking breedte
- 155 mm
- Verpakking hoogte
- 235 mm
- Verpakking lengte
- 235 mm
- Verpakkingsgewicht
- 454 g
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- EAN
- 9783319880648
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