0185216 - UJF-V 20010390 RIV GB eng J - Journal Article
Znojil, Miloslav
Spiked and PT-symmetrized decadic potentials supporting elementary N-plets of bound states.
Journal of Physics. A - Mathematical and General Physics. Roč. 33, - (2000), s. 6825-6833. ISSN 0305-4470
R&D Projects: GA AV ČR IAA1048004
Subject RIV: BE - Theoretical Physics
Impact factor: 1.365, year: 2000

We show that the potential wells with a central spike V(x)=x operator (10) + a x operator 8 + b x operator 6 + c x operator 4 + d x operator 2 + f/x operator 2 possess arbitrary finite multiplets of elementary exact bound states. The strong asymptotic growth of V(x) implies an ambiguity inthe PT-symmetric quantization via complex boundary conditions but the three eligible recipes coincide at our exceptional solutions.
Permanent Link: http://hdl.handle.net/11104/0081627