Configuration space vs physical space

In summary: So if you have n elementary systems in configurationspace, you get n positions in the underlying Lie algebra. Now, if youapply the commutator (of the Lie algebra's Lie bracket), you get a new Lie bracket that isassociated with the product of the original Lie bracket and the position of theelement corresponding to the elementary system in configuration space. Now, theposition of this product is a position in the underlying Lie algebra. Thisoperation is associative, so it can be undone (and so on)... So you can goback and forth between configuration space and the underlying Lie algebra"at will." This is just an abstract way of saying that the configurationspace corresponds to a "view" of
  • #71
Wouldn't a configuration space offer a better alternative to renormalisation?
Then below a specified minimum coordinate range space is 'undefined' - that would help us with some of our cowboy infinities I believe...
 

Similar threads

A Wave-packet in configuration space
Replies
1
Views
879
I Trying to understand why electrons fill orbitals the way they do
Replies
10
Views
2K
The reality of Configuration space
3
Replies
94
Views
25K
I Quantum spaces without classical counterparts?
Replies
5
Views
975
A Quantum superposition: Is a problem of space-time worldview?
Replies
1
Views
984
A Importance of Densities in QFT
Replies
1
Views
1K
Relation between phase space and path integral formulation?
Replies
12
Views
3K
I Expansion of Space: Questions on How the Universe Works
Replies
1
Views
1K
A Does the quantum space of states have countable or uncountable basis?
2
Replies
67
Views
6K
B Frequency of an EM wave in Classical and Quantum Physics
Replies
6
Views
1K

Hot Threads

Recent Insights

Back
Top