2018/07/04 by Zahra Bakhshi, Bakhshi, Zahra
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1807.02109
openalex publication_date 2018/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The importance of the energy spectrum of bound states and their restrictions\nin quantum mechanics due to the different methods have been used for\ncalculating and determining the limit of them. Comparison of Schrodinger-like\nequation obtained by Dirac equation with the non-relativistic solvable models\nis the most efficient methods. By this technique, the exact relativistic\nsolutions of Dirac equation for Hartmann and Ring-Shaped oscillator potentials\nare accessible, when the scalar potential equals to the vector potential. Using\nsolvable non-relativistic quantum mechanics systems as a basic model and\nconsidering the physical conditions provide the changes in the restrictions of\nrelativistic parameters based on the non-relativistic definitions of\nparameters.\n