2024/06/14 by Anzor Khelashvili, Khelashvili, Anzor, Teimuraz Nadareishvili +1
Engineering · Mathematics · #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Microwave Engineering and Waveguides #Numerical methods for differential equations #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2406.12927
openalex publication_date 2024/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a singular oscillator, the Schrodinger equation is obtained an equation of eigenvalues, and the dependence of energy on the self-adjoint extension parameter is established. It is shown that the self-adjoint extension violates the well-known property of equidistance of energy levels for the oscillatory potential, well-known in quantum mechanics. The concept of quantum defect is generally introduced, and the wave function of the problem is written as a single function.