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Theory and Modern Applications

Table 9 \(a>0\), the four eigenvalues with \(l=2\) and h

From: An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain

h

\(\lambda _{2h}^{1}\)

\(\lambda _{2h}^{2}\)

\(\lambda _{2h}^{3}\)

\(\lambda _{2h}^{4}\)

1/64

12.7606082907083

42.5751685615016

92.0871194476254

161.5348743615320

1/128

12.7590444146313

42.5508636384775

91.9653485323629

161.1514235895622

1/256

12.7586534825387

42.5447894481584

91.9349275389073

161.0556794745995

1/512

12.7585557518340

42.5432710282045

91.9273236515782

161.0317508835969

1/1024

12.7585313192603

42.5428914311462

91.9254227648108

161.0257692010616