Quantum Theory from a Nonlinear Perspective Riccati Equations in Fundamental Physics 1st Edition by Dieter 3319655949 9783319655949

Quantum Theory from a Nonlinear Perspective : Riccati Equations in Fundamental Physics 1st Edition by Dieter Schuch – Ebook Instant Download/Delivery ISBN(s): 3319655949, 9783319655949

Product details:

• ISBN 10: 3319655949
• ISBN 13: 9783319655949
• Author: Dieter

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.

Table of contents:

1. Introduction

2. Time-Dependent Schrödinger Equation and Gaussian Wave Packets

3. Time-Independent Schrödinger and Riccati Equations

4. Dissipative Systems with Irreversible Dynamics

5. Irreversible Dynamics and Dissipative Energetics of Gaussian Wave Packet Solutions

6. Dissipative Version of Time-Independent Nonlinear Quantum Mechanics

7. Nonlinear Riccati Equations in Other Fields of Physics

8. Summary, Conclusions and Perspectives

People also search:

quantum nonlinear optics

quantum theory of finite systems

quantum theory philosophy

quantum theory nobel prize

a quantum theory