DOAJ Open Access 2024

Spectrum and resolvent of multi-channel systems with internal energies and common boundary conditions

A.A. Valiyev M.B. Valiyev E.H. Huseynov

Abstrak

In the article the spectrum and resolvent of the so-called multichannel systems with nonzero internal energies were investigated. The spectrum and resolvent of multichannel Sturm-Liouville systems with non-zero internal energies mi2 and general boundary conditions were investigated. These systems describe the propagation of partial waves in the theory of quantum physics. The importance of studying the spectral characteristics of these systems is presented in the well-known books of the theory of quantum physics. The finiteness of the number of eigenvalues was proved, the multiplicity of positive eigenvalues was investigated, and as well as the resolvent kernel of the system was found.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

A.A. Valiyev

M.B. Valiyev

E.H. Huseynov

Format Sitasi

APA MLA BibTeX

Valiyev, A., Valiyev, M., Huseynov, E. (2024). Spectrum and resolvent of multi-channel systems with internal energies and common boundary conditions. https://doi.org/10.31489/2024m3/150-157

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.31489/2024m3/150-157

Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.31489/2024m3/150-157
Akses: Open Access ✓