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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/50348

    Title: Self-adjoint extensions of the Hamiltonian operator with symmetric potentials which are unbounded from below
    Authors: Cho, Hing-tong;Ho, Choon-lin
    Contributors: 淡江大學物理學系
    Date: 2008-06
    Issue Date: 2013-03-12 10:58:00 (UTC+8)
    Publisher: Bristol: Institute of Physics Publishing Ltd.
    Abstract: We study the self-adjoint extensions of the Hamiltonian operator with symmetric potentials which go to −∞ faster than −|x|2p with p > 1 as x → ±∞. In this extension procedure, one requires the Wronskian between any states in the spectrum to approach to the same limit as x → ±∞. Then the boundary terms cancel and the Hamiltonian operator can be shown to be Hermitian. Discrete bound states with even and odd parities are obtained. Since the Wronskian is not required to vanish asymptotically, the energy eigenstates could be degenerate. Some explicit examples are given and analyzed.
    Relation: Journal of Physics A: Mathematical and theoretical 41(25), 255308(11pages)
    DOI: 10.1088/1751-8113/41/25/255308
    Appears in Collections:[物理學系暨研究所] 期刊論文

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