515 citations · 935 across the 21 of their papers we have counts for
21 papers
Tomography on f-oscillators
I. V. Dudinets, V. I. Man'ko, G. Marmo +1
Symplectic tomographies of classical and quantum states are shortly reviewed. The concept of nonlinear f-oscillators and their properties are recalled. The tomographic probability…
Moyal and tomographic probability representations for f-oscillator quantum states
Vladimir I. Man'ko, Giuseppe Marmo, Francesco Zaccaria
States of nonlinear quantum oscillators (f-oscillators) are considered in the Weyl-Wigner-Moyal representation and the tomographic probability representation, where the states are…
f-oscillators deformation for Moyal algebras
V. I. Man'ko, G. Marmo, E. C. G. Sudarshan +1
Using general construction of star-product the q-deformed Wigner-Weyl-Moyal quantization procedure is elaborated. The q-deformed Groenewold kernel determining the product of quantu…
The geometry of density states, positive maps and tomograms
V. I. Man'ko, G. Marmo, E. C. G. Sudarshan +1
The positive and not completely positive maps of density matrices, which are contractive maps, are discussed as elements of a semigroup. A new kind of positive map (the purificatio…
Does The Uncertainty Relation Determine The Quantum State?
Olga V. Man'ko, V. I. Man'ko, G. Marmo +2
The example of nonpositive trace-class Hermitian operator for which Robertson-Schroedinger uncertainty relation is fulfilled is presented. The partial scaling criterion of separabi…
Differential geometry of density states
V. I. Man'ko, G. Marmo, E. C. G. Sudarshan +1
We consider a geometrization, i.e., we identify geometrical structures, for the space of density states of a quantum system. We also provide few comments on a possible application…