Quantum Theory from a Nonlinear Perspective Riccati Equations in Fundamental Physics /

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 theori...

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Bibliographische Detailangaben
1. Verfasser: Schuch, Dieter (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Fundamental Theories of Physics, 191
Schlagworte:
Quantum physics.
Statistical physics.
Differential equations.
Physics.
ISBN:9783319655949
ISSN:0168-1222 ;
Online-Zugang: Volltext
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Inhaltsangabe:
  • Introduction
  • Time-Dependent Schrödinger Equation and Gaussian Wave Packets
  • Time-Independent Schrödinger Equation and Riccati Equations
  • Dissipative Systems with Irreversible Dynamics
  • Irreversible Dynamics and Dissipative Energetics of Gaussian Wave Packet Solutions
  • Dissipative Version of Time-Independent Nonlinear Quantum Mechanics
  • Nonlinear Riccati Equations in Other Fields of Physics
  • Summary, Conclusions and Outlook.

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