Borel Quantization: Kinematics and Dynamics
H.-D. Doebner, P. Nattermann
TL;DR
This paper reviews Borel quantization, focusing on the kinematics of quantum systems on manifolds and the compatible dynamics that include external fields, leading to non-linear Schrödinger equations.
Contribution
It introduces a comprehensive review of Borel quantization, emphasizing the development of compatible dynamics and non-linear Schrödinger equations on manifolds.
Findings
Analysis of quantum kinematics on manifolds
Development of compatible dynamics with external fields
Derivation of non-linear Schrödinger equations
Abstract
In this contribution we review results on the kinematics of a quantum system localized on a connected configuration manifold and compatible dynamics for the quantum system including external fields and leading to non-linear Schr\"odinger equations for pure states.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · Quantum optics and atomic interactions