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

• Main Author: Schuch, Dieter (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Fundamental Theories of Physics, 191
• Subjects: Quantum physics.; Statistical physics.; Differential equations.; Physics.; Quantum Physics.; Applications of Nonlinear Dynamics and Chaos Theory.; Ordinary Differential Equations.; History and Philosophical Foundations of 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...

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.