Quantum Theory from a Nonlinear Perspective

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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• Física
• Física óptica
• A física quântica (mecânica quântica e teoria quântica de campos)
• Cálculo diferencial e equações
• Filosofia da Ciência

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