Meromorphic Behavior of Time Dependent Schroedinger Equation
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.
 Publication:

arXiv eprints
 Pub Date:
 June 2021
 arXiv:
 arXiv:2106.05327
 Bibcode:
 2021arXiv210605327D
 Keywords:

 Mathematical Physics;
 Mathematics  Classical Analysis and ODEs;
 14J60 (Primary) 14F05;
 14J26 (Secondary)
 EPrint:
 Key word: movable singularity, Non Linear ODE, Meromorphic solution