Spiked and PT-symmetrized decadic potentials supporting elementary N-pletsof bound states

Authors
Znojil, M
Citation
M. Znojil, Spiked and PT-symmetrized decadic potentials supporting elementary N-pletsof bound states, J PHYS A, 33(38), 2000, pp. 6825-6833
Citations number
43
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
38
Year of publication
2000
Pages
6825 - 6833
Database
ISI
SICI code
0305-4470(20000929)33:38<6825:SAPDPS>2.0.ZU;2-7
Abstract
We show that the potential wells V (x) = x(10) + ax(8) + bx(6) + cx(4) + dx (2) + f/x(2) with a central spike possess arbitrary finite multiplets of el ementary exact bound states. Their strong asymptotic growth implies an ambi guity in their PT symmetrically generalized quantization (via complex bound ary conditions) but the three eligible methods coincide at our exceptional solutions.