Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation.

Alexander A. Salatich, Sergey Yu. Slavyanov

Результат исследований: Научные публикации в периодических изданияхстатья

Аннотация

Different forms of the double confluent Heun equation are studied. A generalized Riemann scheme for these forms is given. An equivalent first-order system is introduced. This system can be regarded from the viewpoint of the monodromy property. A corresponding Painlevé equation is derived by means of the antiquantization procedure. It turns out to be a particular case of $P^3$. A general expression for any Painlevé equation is predicted. A particular case of the Teukolsky equation in the theory of black holes is examined. This case is related to the boundary between spherical and thyroidal geometries of a black hole. Difficulties for its antiquantization are shown.
Язык оригиналаанглийский
Страницы (с-по)79-85
ЖурналRussian Journal of Nonlinear Dynamics
Том15
Номер выпуска1
СостояниеОпубликовано - 2019
Опубликовано для внешнего пользованияДа

Ключевые слова

  • Antiquantization
  • double confluent Heun equation
  • Painlevé equation $P^3$
  • Teukolsky equation

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