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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Bibliographic Details
Main Author: Schuch, Dieter
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Fundamental Theories of Physics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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