Thermal States on Mittag-Leffler Fock Space

Natanael Alpay and Tiju Cherian John

Published research

Research Summary

We study number states and thermal states on Mittag-Leffler Fock space over the slitted plane. Generalized creation and annihilation operators provide the framework for extending constructions familiar from the classical Fock-space setting.

The project connects reproducing kernel methods with operator-theoretic questions in quantum theory.

Published article Preprint on arXiv

Publication Details

N. Alpay and T. C. John. Thermal states on Mittag-Leffler Fock space of the slitted plane. Journal of Mathematical Analysis and Applications 547 (2025), no. 1, article 129314.

Selected Presentation

Joint Mathematics Meetings 2024 — Thermal States on Mittag Leffler Fock Space of the Slitted Plane (January 3, 2024).