Zobrazeno 1 - 10
of 27
pro vyhledávání: '"N.A. Chekanov"'
Publikováno v:
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, Iss 15, Pp 255-263 (2023)
The paper presents two schemes for the sequential construction of the classical normal form and its quantum analogue for some classes of classical Hamiltonian systems. For quantum normal forms, a method for solving their eigenvalue problem is indicat
Externí odkaz:
https://doaj.org/article/e3a385e3c17743a988c7a7580d4a16bd
Publikováno v:
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, Iss 11, Pp 283-290 (2019)
The general scheme of the method of integration of the second order ordinary differential equations with regular singular points is outlined. The algorithm of finding a general solution of the second order differential equation with regular singular
Externí odkaz:
https://doaj.org/article/76ecb737ec0742958d4bd4508ea78185
Publikováno v:
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, Iss 11, Pp 291-297 (2019)
The general scheme of the method for integrating second-order differential equations in the form of power series is presented. The obtained results for the Schrödinger equation with potentials with two and three minima for quantum anharmonic oscilla
Externí odkaz:
https://doaj.org/article/395e6c30097b4fb78db646c6959e8dc6
Publikováno v:
Journal of Mathematical Sciences. 259:265-271
In this paper, we present a method of computer calculation of Green functions in the form of generalized power series for third-order linear differential equations admitting regular singularities. For specific boundary-value problems, we construct Gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c603d4c32aaed808102bff33fc2a8a1a
https://doi.org/10.1007/s10958-021-05615-9
https://doi.org/10.1007/s10958-021-05615-9
Autor:
Kharkiv Educational, N.A. Chekanov, T.A. Yarkho, I.K. Kirichenko, I.N. Belyaeva, N.N. Chekanova, O.D. Ptashnyi
Publikováno v:
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, Iss 11, Pp 283-290 (2019)
The general scheme of the method of integration of the second order ordinary differential equations with regular singular points is outlined. The algorithm of finding a general solution of the second order differential equation with regular singular
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90f22a3f4610cd531188dcb60b8c828b
https://doi.org/10.26456/pcascnn/2019.11.283
https://doi.org/10.26456/pcascnn/2019.11.283
Publikováno v:
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, Iss 11, Pp 291-297 (2019)
The general scheme of the method for integrating second-order differential equations in the form of power series is presented. The obtained results for the Schrödinger equation with potentials with two and three minima for quantum anharmonic oscilla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a342b52fda8b90add86c11181f438338
https://physchemaspects.ru/2019/doi-10-26456-pcascnn-2019-11-291/?lang=en
https://physchemaspects.ru/2019/doi-10-26456-pcascnn-2019-11-291/?lang=en
Akademický článek
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Publikováno v:
Physics Letters A. 144:459-461
The existence of correlations between some statistical properties of the wave functions and the behaviour of the classical motion is demonstrated for a system of two coupled oscillators where the “regularity-chaos-regularity” transition occurs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::308111005ba3507eb6742dc8e51d3797
https://doi.org/10.1016/0375-9601(90)90514-o
https://doi.org/10.1016/0375-9601(90)90514-o
Akademický článek
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Publikováno v:
Physics Letters A. 135:29-31
Correlations between the characteristic properties of the classical motion and statistical properties of energy spectra are studied for two-dimensional Hamiltonians with a localized region having a negative Gaussian curvature of the potential energy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30b932748f5a0d9a19c45735e57a479d
https://doi.org/10.1016/0375-9601(89)90720-2
https://doi.org/10.1016/0375-9601(89)90720-2