126 citations · 133 across the 5 of their papers we have counts for
5 papers
On the Wehrl entropy lower bound for a locally compact abelian group
Evgeny I. Zelenov
A Wehrl entropy construction is proposed for an arbitrary locally compact abelian group . It is proved that the Wehrl entropy is not less than a non-negative integer, which is a…
p-Adic quantum calculus and ideals of compact operators
Evgeny I. Zelenov
The paper proposes a construction of a quantum differentiation operator defined on the spaces of complex-valued functions of -adic argument, and taking values in the algebra of…
On geometry of p-adic polynomials
Evgeny Zelenov
An analogue of the Gauss-Lucas theorem for polynomials over the algebraic closure of the field of -adic numbers is considered.
Entropy gain in -adic quantum channels
Evgeny I. Zelenov
The construction of the -adic quantum Gaussian channel is suggested. Entropy gain is calculated. The adelic formula for the entropy gain is obtained.
-Adic Mathematical Physics: The First 30 Years
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev +2
-Adic mathematical physics is a branch of modern mathematical physics based on the application of -adic mathematical methods in modeling physical and related phenomena. It em…