Meromorphic Behavior of Time Dependent Schroedinger Equation
Mathematical Physics
2021-07-23 v3 Classical Analysis and ODEs
math.MP
Abstract
We try to obtain meromorphic solution of Time dependent Schroedinger equation which partially satisfies Painleve Integrable property. Our study and analysis exhibits meromorphic behavior of classical particle trajectory. In other words, particle is confined in punctured complex domain in singular fundamental domain. . We have explicitly developed solution from Jacobi Elliptic function and pole expansion approach in which solution remains meromorphic . Branch point analysis also shows solution branches out near such singular point. Meromorphic behavior is significant for a classical particle within quantum limit.
Cite
@article{arxiv.2106.05327,
title = {Meromorphic Behavior of Time Dependent Schroedinger Equation},
author = {R. Dutta and A. Stan},
journal= {arXiv preprint arXiv:2106.05327},
year = {2021}
}
Comments
Key word: movable singularity, Non Linear ODE, Meromorphic solution