Exactly Solvable Two-Parameter Models of Relativistic δ′s -Sphere Interactions in Quantum Mechanics  

作　　者：Jules Manirambona Juma Shabani Alfred Vyabandi Jules Manirambona;Juma Shabani;Alfred Vyabandi(Doctoral School, University of Burundi, Bujumbura, Burundi;Faculty of Sciences, Doctoral School, University of Burundi, Bujumbura, Burundi;Institute of Applied Pedagogy, University of Burundi, Bujumbura, Burundi)

机构地区：[1]Doctoral School, University of Burundi, Bujumbura, Burundi [2]Faculty of Sciences, Doctoral School, University of Burundi, Bujumbura, Burundi [3]Institute of Applied Pedagogy, University of Burundi, Bujumbura, Burundi

出　　处：《Journal of Applied Mathematics and Physics》2024年第4期1263-1285,共23页应用数学与应用物理（英文）

摘　　要：We make a systematic study of two-parameter models of δ ′ s -sphere interaction and δ ′ s -sphere plus a Coulomb interaction. Where δ ′ s interaction denotes the δ ′ -sphere interaction of the second kind. We provide the mathematical definitions of Hamiltonians and obtain new results for both models, in particular the resolvents equations, spectral properties and some scattering quantities.We make a systematic study of two-parameter models of δ ′ s -sphere interaction and δ ′ s -sphere plus a Coulomb interaction. Where δ ′ s interaction denotes the δ ′ -sphere interaction of the second kind. We provide the mathematical definitions of Hamiltonians and obtain new results for both models, in particular the resolvents equations, spectral properties and some scattering quantities.

关 键 词：Boundary Conditions Problem -Sphere Interactions Self-Adjoint Operator Resolvent Equation Spectral Properties Scattering Theory 

分 类 号：O41[理学—理论物理]