1972American Journal of PhysicsRequires access

Necessary and Sufficient Conditions for a Canonical Transformation

James P. Hurley

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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.

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Available 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.

Key concepts: Canonical transformation, Physics, Transformation (genetics), Poisson bracket, Canonical form, Canonical coordinates, Non canonical, Classical mechanics

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