Antiquantization as a specific way from the Statistical physics to the Regular physics

Sergey Slavyanov, Olga Stesik

Результат исследований: Научные публикации в периодических изданияхОбзорная статья

Выдержка

An extended analysis is given of links between linear Heun class equations and the nonlinear Painlevé equations. For linear equations, Heun class equations, deformed Heun class equations, parallel to various first-order systems, are chosen. The role of an accessory parameter in each case is explained. Links to isomonodromic property is traced. The complete list of Painlevé equations in an nonconventional manner is presented.

Язык оригиналаанглийский
Страницы (с-по)512-518
Число страниц7
ЖурналPhysica A: Statistical Mechanics and its Applications
Том521
DOI
СостояниеОпубликовано - 1 мая 2019

Отпечаток

Statistical Physics
Physics
physics
Heun Equation
First-order System
accessories
Linear equation
Nonlinear Equations
linear equations
lists
nonlinear equations
Class

Предметные области Scopus

  • Физика конденсатов
  • Теория вероятности и статистика

Цитировать

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title = "Antiquantization as a specific way from the Statistical physics to the Regular physics",
abstract = "An extended analysis is given of links between linear Heun class equations and the nonlinear Painlev{\'e} equations. For linear equations, Heun class equations, deformed Heun class equations, parallel to various first-order systems, are chosen. The role of an accessory parameter in each case is explained. Links to isomonodromic property is traced. The complete list of Painlev{\'e} equations in an nonconventional manner is presented.",
keywords = "Antiquantization, Apparent singularity, Confluent Heun equation, Fuchsian singularity, Heun equation, Isomonodromic property, Painlev{\'e} equation, Painleve equation",
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Antiquantization as a specific way from the Statistical physics to the Regular physics. / Slavyanov, Sergey; Stesik, Olga.

В: Physica A: Statistical Mechanics and its Applications, Том 521, 01.05.2019, стр. 512-518.

Результат исследований: Научные публикации в периодических изданияхОбзорная статья

TY - JOUR

T1 - Antiquantization as a specific way from the Statistical physics to the Regular physics

AU - Slavyanov, Sergey

AU - Stesik, Olga

PY - 2019/5/1

Y1 - 2019/5/1

N2 - An extended analysis is given of links between linear Heun class equations and the nonlinear Painlevé equations. For linear equations, Heun class equations, deformed Heun class equations, parallel to various first-order systems, are chosen. The role of an accessory parameter in each case is explained. Links to isomonodromic property is traced. The complete list of Painlevé equations in an nonconventional manner is presented.

AB - An extended analysis is given of links between linear Heun class equations and the nonlinear Painlevé equations. For linear equations, Heun class equations, deformed Heun class equations, parallel to various first-order systems, are chosen. The role of an accessory parameter in each case is explained. Links to isomonodromic property is traced. The complete list of Painlevé equations in an nonconventional manner is presented.

KW - Antiquantization

KW - Apparent singularity

KW - Confluent Heun equation

KW - Fuchsian singularity

KW - Heun equation

KW - Isomonodromic property

KW - Painlevé equation

KW - Painleve equation

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U2 - 10.1016/j.physa.2019.01.061

DO - 10.1016/j.physa.2019.01.061

M3 - Review article

AN - SCOPUS:85060906782

VL - 521

SP - 512

EP - 518

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

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