48 citations · 324 across the 25 of their papers we have counts for
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Damped Oscillator with delta-kicked frequency in probability representation of quantum mechanic
Vladimir N. Chernega, Olga V. Man'ko
We obtain the tomogram of squeezed correlated states of a quantum parametric damped oscillator in an explicit form. We study the damping within the framework of the Caldirola--Kana…
Probability representation of quantum observable and quantum states
Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko
We introduce the probability distributions describing quantum observables in conventional quantum mechanics and clarify their relations to the tomographic probability distributions…
Triangle geometry for qutrit states in the probability representation
Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko
We express the matrix elements of the density matrix of the qutrit state in terms of probabilities associated with artificial qubit states. We show that the quantum statistics of q…
Triangle geometry of the qubit state in the probability representation expressed in terms of the triada of Malevich's Squares
Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko
We map the density matrix of the qubit (spin-1/2) state associated with the Bloch sphere and given in the tomographic probability representation onto vertices of a triangle determi…
God plays coins or superposition principle for classical probabilities in quantum suprematism representation of qubit states
Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko
For three given probability distributions describing positions of three classical coins the quantum density matrix of spin- state is constructed and its matrix elements are as…