Sources on explicitly time-dependent Hamiltonian formalism

AI Thread Summary
The discussion centers on finding comprehensive resources for explicitly time-dependent Hamiltonian formalism. Participants suggest searching for texts on non-autonomous mechanics and control theory, noting the difficulty in locating straightforward sources. A specific book titled "Geometric Formulation of Classical and Quantum Mechanics" is mentioned as potentially useful. There is also a query about Herbert Goldstein's classic work and its coverage of the topic. Overall, the thread highlights the challenge of finding accessible literature on this specialized area of mechanics.
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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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I haven't personally read this book, but it looks like it could be useful:

https://www.amazon.com/Geometric-Formulation-Classical-Quantum-Mechanics/dp/9814313726/ref=sr_1_3?s=books&ie=UTF8&qid=1339477934&sr=1-3&keywords=non+autonomous+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.
 
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.
 
Noone, then?
 
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