14 citations · 102 across the 32 of their papers we have counts for
4 papers · 1 filter
Analytical Solution for Gross-Pitaevskii Equation in Phase Space and Wigner Function
A. X. Martins, R. A. S. Paiva, G. Petronilo +4
In this work we study symplectic unitary representations for the Galilei group. As a consequence a Non-Linear Schrödinger equation is derived in phase space. The formalism is based…
Symplectic Dirac Equation
R. G. G. Amorim, S. C. Ulhoa, Edilberto O. Silva
Symplectic unitary representations for the Poincaré group are studied. The formalism is based on the noncommutative structure of the star-product, and using group theory approach a…
Noncommutative Quantum Mechanics based in Representations of Exotic Galilei Group
R. G. G. Amorim, S. C. Ulhoa
Using elements of symmetry, we constructed the Noncommutative Schrödinger Equation from a representation of Exotic Galilei Group. As consequence, we derive the Ehrenfest theorem us…
The Noncommutative Harmonic Oscillator based in Simplectic Representation of Galilei Group
R. G. G. Amorim, S. C. Ulhoa, A. E. Santana
In this work we study symplectic unitary representations for the Galilei group. As a consequence the Schrödinger equation is derived in phase space. The formalism is based on the n…