Rectangular Well as Perturbation
نویسندگان
چکیده
We discuss a finite rectangular well as a perturbation for the infinite one with a depth λ of the former as a perturbation parameter. In particular we consider a behaviour of energy levels in the well as functions of complex λ. It is found that all the levels of the same parity are defined on infinitely sheeted Riemann surfaces which topological structures are described in details. These structures differ considerably from those found in models investigated earlier [1, 4, 8, 9, 10]. It is shown that perturbation series for all the levels converge what is in a contrast with the known results of Bender and Wu [1]. The last property is shown to hold also for the infinite rectangular well with Dirac delta barrier as a perturbation considered earlier by Ushveridze [4]. PACS number(s): 03.65.-W
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