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19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

Showing 1997Show all

7 papers · 1 filter

physics.data-an1997★ 1 cited

Non-commutative time-frequency tomography

V. I. Man'ko, R. Vilela Mendes

The characterization of non-stationary signals requires joint time and frequency information. However, time (t) and frequency (omega) being non-commuting variables there cannot be…

chao-dyn1997

Feigenbaum networks

Rui Carvalho, R. Vilela Mendes, Joao Seixas

We study dynamical systems composed of a set of linearly coupled quadratic maps which, if uncoupled, would be on the Feigenbaum accumulation point. For two units we prove the exist…

quant-ph1997★ 6 cited

Saddle scars: Existence and applications

R. Vilela Mendes

A quantum scar is a wave function which displays an high intensity in the region of a classical unstable periodic orbit. Saddle scars are states related to the unstable harmonic mo…

quant-ph1997★ 5 cited

Collision states and scar effects in charged three-body problems

R. Vilela Mendes

Semiclassical methods form a bridge between classical systems and their quantum counterparts. An interesting phenomenon discovered in this connection is the scar effect, whereby en…

quant-ph1997★ 25 cited

On the nonlinearity interpretation of q- and f-deformation and some applications

V. I. Man'ko, R. Vilela Mendes

q-oscillators are associated to the simplest non-commutative example of Hopf algebra and may be considered to be the basic building blocks for the symmetry algebras of completely i…

chao-dyn1997

Active control of ionized boundary layers

R. Vilela Mendes

The challenging problems, in the field of control of chaos or of transition to chaos, lie in the domain of infinite-dimensional systems. Access to all variables being impossible in…

physics.flu-dyn1997★ 10 cited

Boundary-layer control by electric fields: A feasibility study

R. Vilela Mendes, J. A. Dente

A problem of great concern in aviation and submarine propulsion is the control of the boundary layer and, in particular, the methods to extend the laminar region as a means to decr…