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Sources on explicitly time-dependent Hamiltonian formalism

 
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Jun11-12, 05:54 PM   #1
 

Sources on explicitly time-dependent Hamiltonian formalism


Not sure I am posting this in the right subforum, if this is not the case, please feel free to move it.

Anyway, the title about sums it up - I need to find a good source which offers a thourough treatment of Hamiltonian formalism for the explicitly time-dependent case - could someone possibly suggest some?

Thanks in advance.
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Jun12-12, 12:25 AM   #2
 
I haven't personally read this book, but it looks like it could be useful:

http://www.amazon.com/Geometric-Form...mous+mechanics

I found it surprisingly difficult to locate simple texts covering this topic! It might help to search for the phrases non-autonomous mechanics or non-autonomous dynamical systems as well. There's also a big literature on ODEs under the name control theory which might be relevant.
Jun12-12, 06:11 PM   #3
 
Thanks for the post - This book, however, has "fiber bundles over R" as 1.1, not somewhat of a higher reach, then?

Also, theory of optimal control is, I think, supposed to be an extension of Hamiltonian formalism, I think I would be happy with a "non-extended" book for the time being.

Since Herbert Goldstein's book is considered to be a classic one in the field, and I haven't had a look at it, would anyone know if it treats the topics in any detail?

Thanks again.
Jun15-12, 03:58 PM   #4
 

Sources on explicitly time-dependent Hamiltonian formalism


Noone, then?
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