| Autor: |
Borisov, D. I., Zezyulin, D. A. |
| Rok vydání: |
2019 |
| Předmět: |
|
| Zdroj: |
Applied Mathematics Letters 100, 106049 (2020) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.aml.2019.106049 |
| Popis: |
We consider a Schroedinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large distance. We show that this operator possesses a sequence of approximately equidistant complex-valued wavenumbers situated near the real axis. Depending on its imaginary part, each wavenumber corresponds to either a resonance or an eigenvalue. The obtained sequence of wavenumbers resembles transmission resonances in electromagnetic Fabry-P\'erot interferometers formed by parallel mirrors. Our result has potential applications in standard and non-hermitian quantum mechanics, physics of waveguides, photonics, and in other areas where the Schroedinger operator emerges as an effective Hamiltonian. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
