An asymptotic expression of the Schrödinger equation
نویسندگان
چکیده
The problem of solving the time–independent Schrödinger equation for the motion of an electron of mass μ and charge −e (e > 0) in the field of two fixed Coulomb centers has been the subject of extensive studies in theoretical physics and quantum computation. In the present paper, after making a series of coordinate transformations, we apply the qualitative theory of nonlinear differential equations to the study of the Schrödinger equation under certain parametric conditions, and obtain an asymptotic formula. Mathematics Subject Classification (2000). 34E05, 34E10, 35B40.
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