Are connected phase spaces preserved under canonical transformations?

kakarukeys · Apr 12, 2005

This is a question I found no answer from books.

Is Connectedness and Simply-connectedness preserved by Canonical Transformations?

If an area in phase space is connected (simply connected), will it still connected (simply connected) in the new phase space of new canonical variables?

Palindrom · Apr 12, 2005

Isn't a canonical transformation continuous?

Are connected phase spaces preserved under canonical transformations?

Discussion

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