2014/12/16 by Wolfgang Lucha, Franz F. Schöberl · 5 citations
Mathematics · Physics and Astronomy · #Bound state #Boundary (topology) #Boundary value problem #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Generalization #Laser-Matter Interactions and Applications #Mathematical analysis #Mathematical physics #Nonlinear Photonic Systems #Physics #Quantum #Quantum mechanics #State (computer science) #Tangent #Theoretical physics #Upper and lower bounds #hep-ph #math-ph #math.MP #nucl-th #quant-ph
paper · pdf · doi:10.1142/s0217751x15500621
published in International Journal of Modern Physics A 30(12), 1550062 (World Scientific) · 8 pages
arxiv created 2014/12/16 · arxiv updated 2015/04/16 · openalex publication_date 2015/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schrödinger equation) with an interaction between the bound-state constituents given by the kink-like potential (a central potential of hyperbolic-tangent form) by formulating a bunch of very elementary boundary conditions to be satisfied by all solutions of the eigenvalue problem posed by a bound-state equation of this type, only to learn that all results produced by a procedure very much liked by some quantum-theory practitioners prove to be in severe conflict with our expectations.