Mielnik's evolution loop hexagon in new light
Open Access
- 26 June 2015
- conference paper
- Published by IOP Publishing in Journal of Physics: Conference Series
- Vol. 624 (1) , 012010
Abstract
The problem of controlling quantum wavefunctions by means of potential jolts and periods of free evolution was broached by Bogdan Mielnik in 1977. This quantum control became a subject of great interest for the preparation of atomic and particle systems. We point out here that these manipulations are also realized in paraxial geometric and wave optics, with lenses and free spaces, and even more transparently than with matter.Keywords
This publication has 7 references indexed in Scilit:
- Metaxial correction of fractional Fourier transformersJournal of the Optical Society of America A, 1999
- Evolution loopsJournal of Mathematical Physics, 1986
- Integral Transforms in Science and Engineering1979
- Global mobility of Schrödinger's particleReports on Mathematical Physics, 1977
- Linear Canonical Transformations and Their Unitary RepresentationsJournal of Mathematical Physics, 1971
- Explicit solution of the continuous Baker-Campbell-Hausdorff problem and a new expression for the phase operatorAnnals of Physics, 1969
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947