23-24 December 2019
Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine
Europe/Kiev timezone

Mathieu equation as a confluent Heun equation and its applications

23 Dec 2019, 18:00
5m
322 (Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)

322

Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine

Metrolohichna Str. 14b, Kyiv, Ukraine
Poster Mathematical Physics Poster session

Speaker

Mr O.V. Yanchyshen (Kyiv Academic University)

Description

Mathieu equation appears in different fields of physics and usually it's known as Schrodinger equation with cosine as potential but in more general sense it's a certain specification of confluent Heun equation. Heun equation is a second order ordinary differential equation with rational coefficients, with four regular singular points. Without loss of generality we can put these points in $1, 0, t, \infty$. In our work we consider Mathieu equation and confluent Heun equations and their connection with classical conformal blocks.

Primary author

Mr O.V. Yanchyshen (Kyiv Academic University)

Presentation Materials

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