Quasi-exact solvability of decadic oscillators
نویسنده
چکیده
Centrifugal-like potentials V (r) ∼ G/r 2 + O(1) may be regularized by a small shift r = x − i ε of the real axis. This enables us to study the (real) energy levels in the potentials V (r) = r 10 + a r 8 + b r 6 + c r 4 + d r 2 + G/r 2. We show that for certain couplings the exact and elementary N−plets of bound states may be constructed at any predetermined N.
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