3 papers
math-ph2025
A primer of the complex WKB method, with application to the ODE/IM correspondence
Gabriele Degano, Davide Masoero
In these lectures, we provide an introduction to the complex WKB method, using as a guiding example a class of anharmonic oscillators that appears in the ODE/IM correspondence. In…
math-ph2024
ODE/IM correspondence in the semiclassical limit: Large degree asymptotics of the spectral determinants for the ground state potential
Gabriele Degano
We study a Schrödinger-like equation for the anharmonic potential when the anharmonicity goes to . When and vary in bounded…
math.CA2021
The sixth Painleve' equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds
Gabriele Degano, Davide Guzzetti
We consider a 3-dimensional Pfaffian system, whose z-component is a differential system with irregular singularity at infinity and Fuchsian at zero. In the first part of the paper,…