Titchmarsh-Weyl theory for q-Dirac systems
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, vol.22, no.2, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 22 Issue: 2
- Publication Date: 2019
- Doi Number: 10.1142/s0219025719500103
- Journal Name: INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: q-Dirac operator, singular point, limit-circle case, limit-point case, ANALOG
- Süleyman Demirel University Affiliated: Yes
Abstract
In this work, we establish Titchmarsh-Weyl theory for singular q-Dirac systems. Thus, we extend classical Titchmarsh-Weyl theory for Dirac systems to q-analogue of this system. We show that it does not occur for the limit-circle case for the q-Dirac system.