4 papers
A Fluctuation-Dissipation Structure of Quantum Dynamical Semigroups Reveals a Unique Internal Hamiltonian
Fabricio Toscano, Sergey Sergeev
We refine a fluctuation-dissipation framework for quantum dynamical semigroups to resolve a long-standing ambiguity in Markovian master equations. For finite-dimensional systems, w…
On spectral equations for an evolution operator of a -oscillator lattice
Sergey Sergeev
We propose a set of algebraic equations describing eigenvalues and eigenstates of a relativistic evolution operator for a two-dimensional -oscillator Kagomé lattice. Evolution…
On integrability of a -oscillator lattice with a -boundary
Sergey Sergeev
In this paper we propose a method of construction of a double layer-to-layer auxiliary transfer matrix defined on a half-plane with a boundary. The transfer matrix obtained has the…
Cauchy problem for the localized wave propagation in continuous model of the one-dimensional diatomic crystal
Sergey Sergeev
We study the continuous model of the localized wave propagation corresponding to the one-dimensional diatomic crystal lattice. From the mathematical point of view the problem can b…