Using the Kato–Rellich perturbation theory for linear operators, the analyticity of the Schrödinger energy levels En(l) in the half‐plane Re l>− 1/2 has been proved for a large class of quark‐confining potentials.

1.
H.
Grosse
and
A.
Martin
,
Phys. Rep.
60
,
343
(
1980
).
2.
D. P.
Datta
and
S.
Mukherjee
,
J. Math. Phys.
23
,
665
(
1982
),
and erratum
24
(
4
) (
1983
).,
J. Math. Phys.
3.
B.
Simon
,
Ann. Phys. (N.Y.)
58
,
76
(
1970
).
4.
T. Kato, Perturbation Theory for Linear Operators (Springer, Berlin, 1976).
5.
Reference 4, Theorem 2.6, pp. 377–8.
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