Spiked and PT-symmetrized decadic potentials supporting elementary N-plets of bound states
Abstract
We show that the potential wells with a central spike V(x) = x10 + a x8 + b x6+ c x4 + d x2 + f/x2 possess arbitrary finite multiplets of elementary exact bound states. The strong asymptotic growth of V(x) implies an ambiguity in the PT-symmetric quantization via complex boundary conditions but the three eligible recipes coincide at our exceptional solutions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.