| Autor: |
Igor Samoilenko, Ganna Verovkina, Tetiana Samoilenko |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Austrian Journal of Statistics, Vol 52, Iss SI (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1026-597X |
| DOI: |
10.17713/ajs.v52iSI.1757 |
| Popis: |
We discuss a generalization of Goldstein-Kac model on a complex plane and apply probabilistic approach to construct solutions of the corresponding Cauchy problem for complex-analytic initial conditions. The method is based on reconstruction of complex- analytic functions by combination of power functions, for which corresponding solutions are the moments of evolution process. As soon as in the hydrodynamic limit the equation for our model approximates a Schrödinger-type equation, the solutions constructed for pre-limit Cauchy problem may approximate solutions for corresponding Cauchy problem for a Schrödinger-type equation. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
