What is the definition of canonical transformation?

Thread starter zheng89120
Start date Apr 12, 2012
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Transformations

Apr 12, 2012

zheng89120

Why is it that only Canonical transformations preserve the Hamilton's equations? Or what makes non-canonical transformations not preserve the Hamilton's equations?

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Apr 12, 2012

Dougy81

But that is the definition of canonical transformation that they preserve the Hamilton's equation. Whatever transformation of coordinates you find that preserves Hamilton's equation is a canonical transformation.

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