Fabian Brau 2004 J. Phys. A: Math. Gen. 37 6687 doi:10.1088/0305-4470/37/26/006
Sufficient conditions for the existence of bound states in a central potential
Fabian Brau
Show affiliationsWe 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.
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Issue 26 (2 July 2004)
Received 29 April 2004
Published 16 June 2004
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Sufficient conditions for the existence of bound states in a central potential
Fabian Brau 2004 J. Phys. A: Math. Gen. 37 6687
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