Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Sergei K. Suslov"'
Publikováno v:
Mathematics, Vol 2, Iss 3, Pp 119-135 (2014)
Tree-like structures are ubiquitous in nature. In particular, neuronal axons and dendrites have tree-like geometries that mediate electrical signaling within and between cells. Electrical activity in neuronal trees is typically modeled using coupled
Externí odkaz:
https://doaj.org/article/89bd241b325847d7938ae6dac00bec58
Publikováno v:
Mathematics, Vol 2, Iss 2, Pp 96-118 (2014)
We discuss a method of constructing solutions of the initial value problem for diffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonautonomous Burgers-type equation is also considered. Examples include, but
Externí odkaz:
https://doaj.org/article/f52ad9bfd4e84625918b8f5d21237bcd
Autor:
Sergei K. Suslov
Publikováno v:
Mathematics, Vol 1, Iss 1, Pp 1-2 (2012)
As is widely known, mathematics plays a unique role in all natural sciences as a refined scientific language and powerful research tool. Indeed, most of the fundamental laws of nature are written in mathematical terms and we study their consequences
Externí odkaz:
https://doaj.org/article/1b88f5efa4e84f8cbc4c9b9b8f8490eb
Publikováno v:
Uspekhi Fizicheskih Nauk.
We discuss the discovery of the relativistic wave equation for a spin-zero charged particle in the Coulomb field by Erwin Schrödinger (presumably during the Christmas holidays of 1925-1926). However, in this new approach, an essential discrepancy wa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26f666cd8ab8fd9de09ffd11422f5b61
https://doi.org/10.3367/ufnr.2021.06.039000
https://doi.org/10.3367/ufnr.2021.06.039000
Publikováno v:
Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra ISBN: 9783030445584
To derive an eigenvalue problem for the associated Askey–Wilson polynomials, we consider an auxiliary function in two variables which is related to the associated Askey–Wilson polynomials introduced by Ismail and Rahman. The Askey–Wilson operat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4526fd0ac664d1544a05324d8f62b4f
https://doi.org/10.1007/978-3-030-44559-1_6
https://doi.org/10.1007/978-3-030-44559-1_6
Publikováno v:
Orthogonal Polynomials ISBN: 9783030367435
A short review on special functions and solution of the Coulomb problems in quantum mechanics is given. Multiparameter wave functions of linear harmonic oscillator, which cannot be obtained by the standard separation of variables, are discussed. Expe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6fb9b5c66b7327e11e901a4748bfa4c
https://doi.org/10.1007/978-3-030-36744-2_21
https://doi.org/10.1007/978-3-030-36744-2_21
Publikováno v:
Mathematical Methods in the Applied Sciences. 42:5040-5051
We find explicit solutions of the Heisenberg equations of motion for a quadratic Hamiltonian, describing a generic model of variable media, in the case of multi-parameter squeezed input photon configuration. The corresponding probability amplitudes a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8aab3838247a1d6f0fc8a3a41d088a5e
https://doi.org/10.1002/mma.5285
https://doi.org/10.1002/mma.5285
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319683751
We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the corresponding differen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbf440a34fbf2b5f9c3f766e8f2ff9ac
https://doi.org/10.1007/978-3-319-68376-8_24
https://doi.org/10.1007/978-3-319-68376-8_24
Autor:
Sergei K. Suslov, Alex Mahalov
Publikováno v:
Proceedings of the American Mathematical Society. 143:595-610
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2fb6ea9effa4d2df8ce44ce58ad9d45
https://doi.org/10.1090/s0002-9939-2014-12295-7
https://doi.org/10.1090/s0002-9939-2014-12295-7
Publikováno v:
International Journal of Theoretical Physics. 52:4445-4460
We consider the radiation field operators in a cavity with varying dielectric medium in terms of solutions of Heisenberg's equations of motion for the most general one-dimensional quadratic Hamiltonian. Explicit solutions of these equations are obtai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40939b51d986086f3539d7f4f95cf37c
https://doi.org/10.1007/s10773-013-1764-3
https://doi.org/10.1007/s10773-013-1764-3