35 citations · 50 across the 14 of their papers we have counts for
14 papers
Partial symplectic quantum tomography schemes. Observables, evolution equations, and stationary states equations
Ya. A. Korennoy, V. I. Man'ko
Partial symplectic conditional and joint probability representations of quantum mechanics are considered. The correspondence rules for most interesting physical operators are found…
On definition of quantum tomography via the Sobolev embedding theorem
G. G. Amosov, Ya. A. Korennoy
We obtain sufficient conditions on kernels of quantum states under which Wigner functions, optical quantum tomograms and linking their formulas are correctly defined. Our approach…
Gauge-independent Husimi functions of charged quantum particles in the electro-magnetic field
Ya. A. Korennoy
Gauge-independent Husimi function (function) of states of charged quantum particles in the electro-magnetic field is introduced using the gauge-independent Stratonovich-Wigner…
Normalized non-redundant vector tomographic portraits of spin states
Ya. A. Korennoy
Non-redundant and normalized four-component vector tomographic portrait fully describing the states of spin 1/2 quantum particles was introduced. Dequantizer and quantizer for such…
Observables, evolution equation,and stationary states equation in the joint probability representation of quantum mechanics
Ya. A. Korennoy, V. I. Man'ko
Symplectic and optical joint probability representations of quantum mechanics are considered, in which the functions describing the states are the probability distributions with al…
Conditions for quantum and classical tomogram-like functions to describe system states and to retain normalization during evolution
Ya. A. Korennoy, V. I. Man'ko
It is shown that dynamical equations for quantum tomograms retain the normalization conditions of their solutions during evolution only if the solutions satisfy a set of special co…