Quantum Theory from a Nonlinear Perspective

Quantum Theory from a Nonlinear Perspective

Riccati Equations in Fundamental Physics

Schuch, Dieter

Springer International Publishing AG

01/2018

258

Dura

Inglês

9783319655925

15 a 20 dias

680

Descrição não disponível.
Introduction.- Time-Dependent Schroedinger Equation and Gaussian Wave Packets.- Time-Independent Schroedinger 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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Complex Riccati Equations;Connecting Nonlinear Dynamics and Quantum Mechanics;Dissipation in Classical and Quantum Mechanics;Ermakov Systems and Invariants;Irreversibility in Classical and Quantum Mechanics;Nonlinear Riccati Equations;Nonlinearities in Quantum Mechanics;ordinary differential equations