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Published in:
2010 | OriginalPaper | Chapter
Quantum Dynamics of Non Commutative Algebras: The SU(2) Case
Authors : C. M. Sarris, A. N. Proto
Published in: Preferences and Decisions
Publisher: Springer Berlin Heidelberg
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Applying Maximum Entropy Formalism (
MEP
) the dynamics of Hamiltonians, associated to non commutative Lie algebras, can be found. For the
SU
(2) case, it is easy to show that the Generalized Uncertainty Principle (
GUP
) is an invariant of motion. The temporal evolution of the system is confined to Bloch spheres whose radius lay on the interval (0;1). The
GUP
, defines the fizziness of these spheres inside the
$\hbar$
domain for the
SU
(2) Lie algebra.