4 research outputs found
The Noncommutative Harmonic Oscillator based in Simplectic Representation of Galilei Group
In this work we study symplectic unitary representations for the Galilei
group. As a consequence the Schr\"odinger equation is derived in phase space.
The formalism is based on the non-commutative structure of the star-product,
and using the group theory approach as a guide a physical consistent theory in
phase space is constructed. The state is described by a quasi-probability
amplitude that is in association with the Wigner function. The 3D harmonic
oscillator and the noncommutative oscillator are studied in phase space as an
application, and the Wigner function associated to both cases are determined.Comment: 7 pages,no figure
A proposal for testing subcritical vacuum pair production with power lasers
We present a proposal for testing the prediction of non-equilibrium quantum
field theory below the Schwinger limit. The proposed experiments should be able
to detect a measurable number of gamma rays resulting from the annihilation of
pairs in the focal spot of two opposing high intensity laser beams. We discuss
the dependence of the expected number of gamma rays with the laser parameters
and compare with the estimated background level of gamma hits for realistic
laser conditions.Comment: 14 pages, 1 tabl