Banca de DEFESA: JOSÉ RODRIGO BLANCO PELETEIRO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : JOSÉ RODRIGO BLANCO PELETEIRO
DATA : 13/09/2019
HORA: 15:00
LOCAL: Instituto de Física da Universidade Federal da Bahia
TÍTULO:

DYNAMIC INVARIANTS, SCHWINGER FORMALISM AND A NEW
VISION ON QUANTITIES CONSERVED IN QUANTIC MECHANICS

PALAVRAS-CHAVES:

Dynamical invariant, Ermakov invariant, Schwinger principle, oscillator
quantization.

PÁGINAS: 124
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:

In this work we calculate dynamical invariants using the equations of motion of a
quantum mechanical system and the Schwinger formalism. Both approaches turn out

to be complementary, the second being more fundamental than the first one. The cal-
culations of the invariants are, initially, for the harmonic oscillator with time-dependent

frequency, for oscillators with higher dimension and, at the end, for the one dimensional

time-dependent, damped, driven harmonic oscillator. With the linear invariants associa-
ted with the equations of motion and under the existence condition of solutions for the

diferencial equations of the parameters, it is possible to obtain a new way of canonical

quantization for the one-dimensional oscillator-type systems. This new procedure requi-
res the identification of the linear invariants with ladder operators, which makes possible

to obtain the Hilbert space of the system.

MEMBROS DA BANCA:
Externo à Instituição - CÁSSIUS ANDERSON MIQUELE DE MELO
Interno - 1194645 - FREDERICO VASCONCELOS PRUDENTE
Presidente - 2060414 - MARIO CEZAR FERREIRA GOMES BERTIN