Aleph UCLA Undergraduate Research Journal for the Humanities and Social Sciences
Excitação coulombiana da RGD com representação de um espaço de fase molomórfico com a aproximação eikonal
J.S. da Veiga
Abstract
We extend the Weyl-Wigner transformation to include the second quantization scheme by introducing the Bargmann mapping kernel in the Weyl transform. Besides, we construct a holomorphic phase space in which complex entire analytic functions of two variables, namely, z and w*, stand for the boson creation and annihilation operators representatives, respectively. The dynamical equations are obtained by the mapped Heisenberg equation of motion. So, a holomorphic expression for an excitation probability is presented and an explicit calculation is performed for the forced harmonic oscilator. Finally, we apply the holomorphic phase-space description to a particular collision process, i.e.,the analytical study of the Coulomb excitation for the isovector giant electric dipole ressonance in the eikonal approximation. Comparisons with experimental results are presented and discussed