436 citations · 3.3k across the 186 of their papers we have counts for
6 papers · 1 filter
Quantum singular oscillator as a model of two-ion trap: an amplification of transition probabilities due to small time variations of the binding potential
V. V. Dodonov, V. I. Man'ko, L. Rosa
Following the paper by M. Combescure [Ann. Phys. (NY) 204, 113 (1990)], we apply the quantum singular time dependent oscillator model to describe the relative one dimensional motio…
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…
Interference effects in f-deformed fields
Stefano Mancini, Paolo Tombesi, Vladimir I. Man'ko
We show how the introduction of an algeabric field deformation affects the interference phenomena. We also give a physical interpretation of the developed theory.
Different realizations of tomographic principle in quantum state measurement
Stefano Mancini, Paolo Tombesi, Vladimir I. Man'ko
We establish a general principle for the tomographic approach to quantum state reconstruction, till now based on a simple rotation transformation in the phase space, which allows u…
Beyond the Standard "Marginalizations" of Wigner Function
Stefano Mancini, Paolo Tombesi, Vladimir I. Man'ko
We discuss the problem of finding "marginal" distributions within different tomographic approaches to quantum state measurement, and we establish analytical connections among them.
Deformations and Nonlinear Systems
V. I. Man'ko, G. Marmo, F. Zaccaria
The q-deformation of harmonic oscillators is shown to lead to q-nonlinear vibrations. The examples of q-nonlinearized wave equation and Schrödinger equation are considered. The pro…