Schrodinger potentials solvable in terms of the general Heun functions; Annals of Physics; Vol. 388

Schrodinger potentials solvable in terms of the general Heun functions; Annals of Physics; Vol. 388

Detaylı Bibliyografya
Parent link:	Annals of Physics Vol. 388.— 2018.— [P. 456-471]
Yazar:	Ishkhanyan A. Artur
Müşterek Yazar:	Национальный исследовательский Томский политехнический университет Инженерная школа ядерных технологий Отделение экспериментальной физики
Özet:	Title screen We show that there exist 35 choices for the coordinate transformation each leading to a potential for which the stationary Schrodinger equation is exactly solvable in terms of the general Heun functions. Because of the symmetry of the Heun equation with respect to the transposition of its singularities only eleven of these potentials are independent. Four of these independent potentials are always explicitly written in terms of elementary functions, one potential is given through the Jacobi elliptic sn-function, and the others are in general defined parametrically. Nine of the independent potentials possess exactly or conditionally integrable hypergeometric sub-potentials for which each of the fundamental solutions of the Schrodinger equation is written through a single hypergeometric function. Many of the potentials possess sub-potentials for which the general solution is written through fundamental solutions each of which is a linear combination of two or more Gauss hypergeometric functions. We present an example of such a potential which is a conditionally integrable generalization of the third exactly solvable Gauss hypergeometric potential. Режим доступа: по договору с организацией-держателем ресурса
Dil:	İngilizce
Baskı/Yayın Bilgisi:	2018
Konular:	электронный ресурс труды учёных ТПУ stationary Schrodinger equation integrable potential general Heun equatio уравнение Шредингера уравнение Гойна термины
Online Erişim:	https://doi.org/10.1016/j.aop.2019.03.028
Materyal Türü:	Elektronik Kitap Bölümü
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666738

Benzer Materyaller

A conditionally integrable bi-confluent Heun potential involving inverse square root and centrifugal barrier terms; Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences; Vol. 73, iss. 5
Yazar:: energy spectrum T. A. Tigran Arturovich
Baskı/Yayın Bilgisi: (2018)

Solutions of the bi-confluent Heun equation in terms of the Hermite functions; Annals of Physics; Vol. 383
Yazar:: Ishkhanyan T. Tigran
Baskı/Yayın Bilgisi: (2017)

Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation; European Physical Journal Plus; Vol. 140
Yazar:: Kulagin A. E. Anton Evgenievich
Baskı/Yayın Bilgisi: (2025)

Schrödinger potentials solvable in terms of the confluent Heun functions; Theoretical and Mathematical Physics; Vol. 188, iss. 1
Yazar:: Ishkhanyan A. Artur
Baskı/Yayın Bilgisi: (2016)

A singular Lambert-W Schrödinger potential exactly solvable in terms of the confluent hypergeometric functions; Modern Physics Letters A; Vol. 31, iss. 33
Yazar:: Ishkhanyan A. Artur
Baskı/Yayın Bilgisi: (2016)

Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients; Theoretical and Mathematical Physics; Vol. 189, iss. 3
Baskı/Yayın Bilgisi: (2016)

A conditionally exactly solvable generalization of the inverse square root potential; Physics Letters A; Vol. 380, iss. 45
Yazar:: Ishkhanyan A. Artur
Baskı/Yayın Bilgisi: (2016)

The Lambert-W step-potential – an exactly solvable confluent hypergeometric potential; Physics Letters A; Vol. 380, iss. 5-6
Yazar:: Ishkhanyan A. Artur
Baskı/Yayın Bilgisi: (2016)

The third exactly solvable hypergeometric quantum-mechanical potential; EPL (Europhysics Letters); Vol. 115, № 2
Yazar:: Ishkhanyan A. Artur
Baskı/Yayın Bilgisi: (2016)

Расчет коэффициента сверхсжимаемости основных компонент природного газа методом молекулярной динамики; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 330, № 11
Yazar:: Малышев В. Л. Виктор Леонидович
Baskı/Yayın Bilgisi: (2019)

Определение погонных электротехнических параметров нефтепогружного кабеля; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 332, № 6
Baskı/Yayın Bilgisi: (2021)

Adomian Decomposition Method for the One-dimensional Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Equation; Russian Physics Journal; Vol. 62, iss. 4
Yazar:: Shapovalov A. V. Aleksandr Vasiljevich
Baskı/Yayın Bilgisi: (2019)

Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction; Symmetry; Vol. 13, iss. 7
Yazar:: Kulagin A. E. Anton Evgenievich
Baskı/Yayın Bilgisi: (2021)

Kink dynamics in the medium with a random force and dissipation in the sine-Gordon model; Russian Physics Journal; Vol. 51, iss. 2
Yazar:: Krasnobaeva L. A.
Baskı/Yayın Bilgisi: (2008)

Kink velocity in nonstationary external fields for the sine-Gordon model with allowance for dissipation effects; Russian Physics Journal; Vol. 51, iss. 1
Yazar:: Krasnobaeva L. A.
Baskı/Yayın Bilgisi: (2008)

Formalism of semiclassical asymptotics for a two-component Hartree-type equation; Russian Physics Journal; Vol. 52, iss. 10
Yazar:: Smirnova E. I.
Baskı/Yayın Bilgisi: (2009)

Pattern Formation in a Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Model and in a Nonlocal Model of the Kinetics of an Metal Vapor Active Medium; Russian Physics Journal; Vol. 65, iss. 4
Yazar:: Shapovalov A. V. Aleksandr Vasilyevich
Baskı/Yayın Bilgisi: (2022)

Mason's equation applicaion for predicion of voltage of oil shale treeing breakdown; Energy Fluxes and Radiation Effects (EFRE-2016)
Yazar:: Martemyanov S. M. Sergey Mikhailovich
Baskı/Yayın Bilgisi: (2016)

Modulation of the velocity of soliton-like perturbations for the sine–Gordon equation with external force and dissipation; Russian Physics Journal; Vol. 52, iss. 12
Yazar:: Krasnobaeva L. A.
Baskı/Yayın Bilgisi: (2009)

Semiclassical approximation for the twodimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation with nonlocal nonlinearity in polar coordinates; Russian Physics Journal; Vol. 53, iss. 12
Yazar:: Trifonov A. Yu. Andrey Yurievich
Baskı/Yayın Bilgisi: (2011)

Determination of the Critical Temperature of Self-Ignition of Explosives from the Stability Analysis of the Thermal Conductivity Equation; Propellants, Explosives, Pyrotechnics; Vol. 46, iss. 3
Yazar:: Khaneft A. V. Aleksandr Villivich
Baskı/Yayın Bilgisi: (2021)

Асимптотика решения бисингулярно возмущенного эллиптического уравнения. Случай особой точки на границе; Известия Томского политехнического университета [Известия ТПУ]; Т. 324, № 2 : Математика и механика. Физика
Yazar:: Турсунов Д. А. Дилмурат Абдиллажанович
Baskı/Yayın Bilgisi: (2014)

Analysis of X-ray whispering gallery waves propagating along liquid meniscuses; Resource-Efficient Technologies; No 1
Baskı/Yayın Bilgisi: (2018)

Puffing/micro-explosion in composite multi-component droplets; International Journal of Heat and Mass Transfer; Vol. 184
Baskı/Yayın Bilgisi: (2022)

Угольный слой при микроволновом нагреве: аналитическое исследование при смешанных граничных условиях I и II рода; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 326, № 11
Baskı/Yayın Bilgisi: (2015)

Расчет параметров распределенной схемы замещения обмоток трансформатора с учетом влияния скин-эффекта; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 326, № 9
Yazar:: Исаев Ю. Н. Юсуп Ниязбекович
Baskı/Yayın Bilgisi: (2015)

Ускорение расчетов фазового равновесия газоконденсатных систем на основе уравнения состояния Соаве–Редлиха–Квонга; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 336, № 12
Baskı/Yayın Bilgisi: (2025)

Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity; Russian Physics Journal; Vol. 60, iss. 2
Yazar:: Levchenko E. A. Evgeny Anatolievich
Baskı/Yayın Bilgisi: (2017)

Определение поверхностного натяжения на основе термокапиллярного движения; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 336, № 4
Baskı/Yayın Bilgisi: (2025)

Base methods for assessing company's investment potential; Journal of Economics and Social Sciences; № 3
Yazar:: Kolmagorov V.
Baskı/Yayın Bilgisi: (2013)

Base methods for assessing company's investment potential; Journal of Economics and Social Sciences; № 3
Yazar:: Kolmagorov V. O.
Baskı/Yayın Bilgisi: (2013)

Аналитическая модель динамической системы «длинный кабель – погружной асинхронный двигатель с заторможенным ротором» в полярной системе координат; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 334, № 12
Baskı/Yayın Bilgisi: (2023)

Symmetry operators of a Hartree-type equation with quadratic potential; Siberian Mathematical Journal; Vol. 46, iss. 1
Yazar:: Lisok A. L. Aleksandr Leonidovich
Baskı/Yayın Bilgisi: (2005)

The problem of the number of integer points in families of anisotropically expanding domains, with applications to spectral theory; Mathematical Notes; Vol. 92, iss. 3-4
Yazar:: Kordyukov Yu. A. Yuri Arkadievich
Baskı/Yayın Bilgisi: (2012)

Влияние фильтрационно-емкостных свойств объектов разработки на величину коэффициента вытеснения нефти в различных геолого-физических условиях; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 329, № 7
Yazar:: Гладких Е. А. Евгений Александрович
Baskı/Yayın Bilgisi: (2018)

The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve; Symmetry; Vol. 12, iss. 2
Yazar:: Shapovalov A. V. Aleksandr Vasilyevich
Baskı/Yayın Bilgisi: (2020)

Generation of new exactly solvable potentials of a nonstationary Schrodinger equation; Soviet Physics Journal; Vol. 87, iss. 3
Yazar:: Bagrov V. G.
Baskı/Yayın Bilgisi: (1991)

Adomyan Decomposition Method for a Two-Component Nonlocal Reaction-Diffusion Model of the Fisher–Kolmogorov–Petrovsky–Piskunov Type; Russian Physics Journal; Vol. 62, iss. 5
Yazar:: Shapovalov A. V. Aleksandr Vasiljevich
Baskı/Yayın Bilgisi: (2019)

Термообработка угольного слоя СВЧ-энергией: аналитическое исследование в условиях теплосброса II и III рода; Известия Томского политехнического университета [Известия ТПУ]. Инжиниринг георесурсов; Т. 327, № 6
Baskı/Yayın Bilgisi: (2016)

Численное решение краевых задач учебно-методическое пособие
Yazar:: Гостеев Ю. А.
Baskı/Yayın Bilgisi: (Новосибирск, НГТУ, 2019)