Sufficient conditions for the existence of bound states in a central potential
نویسندگان
چکیده
We show how a large class of sufficient conditions for the existence of bound states, in non-positive central potentials, can be constructed. These sufficient conditions yield upper limits on the critical value, g ) c , of the coupling constant (strength), g, and of the potential, V (r) = −gv(r), for which a first -wave bound state appears. These upper limits are significantly more stringent than hitherto known results. PACS numbers: 03.65.−w, 03.65.Ge, 02.30.Rz
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تاریخ انتشار 2004