Necessary and Sufficient Conditions for a Canonical Transformation
James P. Hurley
Abstract
James P. Hurley
Abstract
Necessary and sufficient conditions are given for a transformation to be canonical. It is shown that if the transformation is to be canonical for all Hamiltonians, the condition is equivalent to the usual fundamental Poisson bracket conditions.
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Necessary and sufficient conditions are given for a transformation to be canonical. It is shown that if the transformation is to be canonical for all Hamiltonians, the condition is equivalent to the usual fundamental Poisson bracket conditions.
Key concepts: Canonical transformation, Physics, Transformation (genetics), Poisson bracket, Canonical form, Canonical coordinates, Non canonical, Classical mechanics