14/09/2017, 15:00 — 16:00 — Room P3.10, Mathematics Building
Luis Miguel Pereira, IPFN, Instituto Superior Tecnico
The quantum pendulum in the Wigner formalism and Mathieu functions
The time-independent Schrödinger equation with the pendulum's potential is the Mathieu equation from 19th century mathematical physics. Though there are many ways to approximate its solutions there are no known closed formulas for these solutions. In this talk we will show that with João Pedro Bizarro's modification of the Wigner-Berry transform it is possible to obtain closed formulas for several families of transforms of stationary observables.