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Properties of bound states of the Schrodinger equation with attractive Dirac delta potentials

2003    Demiralp, E; Beker, H

We have studied bound states of the Schrodinger equation for an attractive potential with any finite number (P) of Dirac delta-functions in R-n where n = 1, 2, 3..... The potential is radially symmetric for n greater than or equal to 2 and is given as V(r) = -(h2)/(2m) Sigma(i=1)(P) sigma(i)delta(r - r(i)) where sigma(i) > 0, r(1) < r(2) < (...) 2l+n-2 and none otherwise. Wehave also proven that there are at most P positive roots for the equation X-22(k) = 0 where X = ((X21) (X11) (X22) (X12)) = MpMp-1...M-1 and M-i is an element of SL (2, R) are the particular where X = G21 X 22 transfer matrices mentioned above.