376 citations · 908 across the 43 of their papers we have counts for
6 papers · 2 filters
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…
Schwinger Representation for the Symmetric Group: Two explicit constructions for the Carrier Space
S. Chaturvedi, G. Marmo, N. Mukunda +1
We give two explicit construction for the carrier space for the Schwinger representation of the group . While the first relies on a class of functions consisting of monomials…
Introduction to Quantum Mechanics and the Quantum-Classical transition
J. F. Carinena, J. Clemente-Gallardo, G. Marmo
In this paper we present a survey of the use of differential geometric formalisms to describe Quantum Mechanics. We analyze Schroedinger and Heisenberg frameworks from this perspec…
Alternative linear structures for classical and quantum systems
E. Ercolessi, A. Ibort, G. Marmo +1
The possibility of deforming the (associative or Lie) product to obtain alternative descriptions for a given classical or quantum system has been considered in many papers. Here we…
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…
Qubit-portraits of qudit states and quantum correlations
C. Lupo, V. I. Man'ko, G. Marmo
The machinery of qubit-portraits of qudit states, recently presented, is consider here in more details in order to characterize the presence of quantum correlations in bipartite qu…