Phys. Rev. A 78, 012702 (2008) [16 pages]General form of the quantum-defect theory for −1/rα type of potentials with α>2Received 11 May 2008; published 10 July 2008 We present a general formulation of the quantum-defect theory for systems with an attractive 1/rα type of asymptotic potentials with α>2. Its structural differences from the standard theory for α≤2, or from the semiclassical theory, is fully explained through a systematic understanding of quantum reflection above the threshold, and quantum connection formulas below the threshold. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.012702
DOI:
10.1103/PhysRevA.78.012702
PACS:
34.10.+x, 03.65.Nk, 33.20.Vq
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