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The article consists of the Russian and English variants of Ph.D. Thesis in which the answers is given on the following questions.
Abstract: We discuss quantum information theoretical concepts on von Neumann algebras and lift the smooth entropy formalism to the most general quantum setting. For the smooth min- and max-entropies w...
Abstract: The Lagrangian-Hamiltonian unified formalism of R. Skinner and R. Rusk was originally stated for autonomous dynamical systems in classical mechanics. It has been generalized for non-autonomo...
Abstract: The formulation of a relativistic dynamical problem as a system of Hamilton equations by respecting the principles of Relativity is a delicate task, because in their classical form the Hamil...
Abstract: Using a new proposal for the "picture lowering" operators, we compute the tree level scattering amplitude in the minimal pure spinor formalism by performing the integration over the pure spi...
Based on a previously developed recursive approach for calculating the short-time expansion of the propagator for systems with time-independent potentials and its time-dependent generalization for sim...
Within the framework of Skyrme energy density formalism, we investigate the role of surface corrections on the fusion of colliding nuclei. For this, the coefficient of surface correction was varied b...
We study the evolution of sexual and asexual populations in general fitness landscapes. We find deep relations between the mathematics of biological evolution and the formalism of quantum mechanics.
Based on a previously developed recursive approach for calculating the short-time expansion of the propagator for systems with time-independent potentials and its time-dependent generalization for sim...
The symmetric Anderson model for a single impurity coupled to two leads is studied at strong interaction using the GW approximation within the GW formalism. We find that the low energy properties ...
We discuss a Poincar´e invariant coupled-channel formalism which is based on the point-form of relativistic quantum mechanics.
We obtain the Poincare group generators by proper choice of arbitrary functions present in the Relativistic Theory of Gravitation (RTG) Hamiltonian. Their Dirac brackets give the Poincare algebra in a...
2007Vol.48No.2pp.309-312DOI: Off-shell BRST-VSUSY Superalgebra for D=4 BF Theories in Superconnection Formalism A. Aidaoui1,2 and M. Tahiri1 1 Laboratoire de Physique Th...
2001Vol.35No.6pp.703-710DOI: On Symplectic and Multisymplectic Structures and Their Discrete Versions in Lagrangian Formalism GUO Han-Ying, LI Yu-Qi and WU Ke Institute ...
2007Vol.48No.1pp.27-36DOI: Hamiltonian Formalism of de-Sitter Invariant Special Relativity YAN Mu-Lin,1 XIAO Neng-Chao,1 HUANG Wei,1 and LI Si2 1 Interdisciplinary Cente...

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