We study the canonical and the coherent state quantizations of a particle moving in a magnetic field on the non-commutative plane. Using a theta-modified action, we perform the canonical quantization and analyze the gauge ...

We study the Galilean Dirac oscillator in a non-commutative situation, with space-space and momentum-momentum non-commutativity. The wave equation is obtained via a ‘Galilean covariant’ approach, which consists in projecting ...

We address the following conjecture about the existence of common zeros for commuting vector fields in dimension 3: if are two commuting vector fields on a 3-manifold , and is a relatively compact open such that does not ...

This paper explores initially, in a intuitive form, some questions of non-commutativity in space well as the motivations for the study of non-commutative theories. Then be given an overight in some aspects of quantum theory ...

We study the oscillations of a scalar field on a noncommutative disc implementing the boundary as the limit case of an interaction with an appropriately chosen confining background. The space of quantum fluctuations of the ...

We study field theories defined in regions of the spatial noncommutative (NC) plane with a boundary present delimiting them, concentrating in particular on the U(1) NC Chern-Simons theory on the upper half-plane. We find ...

This master’s dissertation proposes space vector modulation strategies for the Five-Levels Packed U-Cell converter with optimization on the commutation number and balance of the floating capacitors by use a cost function. ...