Canonical transformations and minimal length
P. Valtancoli
TL;DR
This paper introduces a method to adapt canonical transformations so they remain valid within the framework of non-commutative Poisson brackets, bridging classical mechanics and non-commutative geometry.
Contribution
It presents a novel modification technique for canonical transformations to ensure compatibility with non-commutative Poisson brackets.
Findings
Canonical transformations can be adapted for non-commutative brackets
The method preserves the structure of classical mechanics in non-commutative settings
Potential applications in quantum gravity and non-commutative geometry
Abstract
We show how to modify the canonical transformations to make them compatible with non-commutative Poisson brackets.
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