Report
Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems
| العنوان: | Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems |
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| المؤلفون: | Odake, Satoru |
| المصدر: | J. Phys. A: Math. Theor. 53 (2020) 365202 (21pp) |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Theory, Mathematics - Classical Analysis and ODEs, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | Corresponding to a certain Wronskian identity, we present two types of new Casoratian identities. We apply these identities to the Darboux transformations of quantum mechanical systems. The Wronskian identity is applied to the ordinary quantum mechanics, and the two Casoratian identities are applied to the discrete quantum mechanics with pure imaginary and real shifts, respectively. Comment: 25 pages. Comments and a reference added. To appear in J.Phys.A |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/aba0ef |
| URL الوصول: | http://arxiv.org/abs/2003.00219 |
| رقم الانضمام: | edsarx.2003.00219 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/aba0ef |
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