the question is if we have a classical phase space (p,q) the idea is using Heisenberg's uncertainty could we generalize the usual 'geometry' to a non-commutative phase space ?(adsbygoogle = window.adsbygoogle || []).push({});

for example we could impose the conditions [tex] [ x_i , x_j ]= iL_p \hbar [/tex]

where L_p means Planck's Energy scale and the same for the momentum [tex] [ p_i , p_j ]= iL_p \hbar [/tex].

if someone could provide a good and comprehensible introduction to Non-commutative geometry book and how is used in physics (with examples) thanks a lot.

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# Non-commutative Phase space

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