Электронная библиотека (репозиторий) Томского государственного университета

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Add   Linear superposition as a core theorem of quantum empiricism
Authors: Brezhnev, Yurii V.
Source: Universe. 2022. Vol. 8, № 4. P. 217 (1-78)
Type: статьи в журналах
Date: 2022
Description: Clarifying the nature of the quantum state |Ψ⟩ is at the root of the problems with insight into counter-intuitive quantum postulates. We provide a direct—and math-axiom free—empirical derivation of th ... More
Add   An exactly solvable problem of wave fronts and applications to the asymptotic theory
Authors: Brezhnev, Yurii V. | Tsvetkova, A. V.
Source: Physica D: Nonlinear Phenomena. 2021. Vol. 419. P. 132868 (1-8)
Type: статьи в журналах
Date: 2021
Description: A nontrivially solvable 4-dimensional Hamiltonian system is applied to the problem of wave fronts and to the asymptotic theory of partial differential equations. The Hamilton function we consider is . ... More
Add   Analytic connections on Riemann surfaces and orbifolds
Authors: Brezhnev, Yurii V.
Source: Journal of geometry and physics. 2015. Vol. 97. P. 166-176
Type: статьи в журналах
Date: 2015
Description: We give a differentially closed description of the uniformizing representation to the analytical apparatus on Riemann surfaces and orbifolds of finite analytic type. Apart from well-known automorphic ... More
Add   On a quantization of the classical θ-functions
Authors: Brezhnev, Yurii V.
Source: Symmetry, integrability and geometry: methods and applications. 2015. Vol. 11. P. 035 (1-11)
Type: статьи в журналах
Date: 2015
Description: The Jacobi theta-functions admit a definition through the autonomous differential equations (dynamical system); not only through the famous Fourier theta-series. We study this system in the framework ... More
Add   Elliptic solitons, fuchsian equations, and algorithms
Authors: Brezhnev, Yurii V.
Source: St. Petersburg Mathematical Journal. 2013. Vol. 24, № 4. P. 555-574
Type: статьи в журналах
Date: 2013
Add   Non-canonical extension of θ-functions and modular integrability of θ-constants
Authors: Brezhnev, Yurii V.
Source: Proceedings of the Royal Society of Edinburgh. Section A : Mathematics. 2013. Vol. 143, № 4. P. 689-738
Type: статьи в журналах
Date: 2013
Add   The mean values of the Weierstrass elliptic function ρ: Theory and application
Authors: Sherratt, Jonathan A. | Brezhnev, Yurii V.
Source: Physica D: Nonlinear Phenomena. 2013. Vol. 263. P. 86-98
Type: статьи в журналах
Date: 2013
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