Quasi-Sturm (QS) functions are proposed as basis functions in a description of the states of the continuous spectrum of a quantum system. A representation of QS functions in closed analytical form is obtained. The advantages of the method are illustrated by an example of the two-particle scattering problem.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 25–32, July, 2014.
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Aleshin, M.S., Zaitsev, S.A., Gasaneo, G. et al. Quasi-Sturm Functions in Problems of the Continuous Spectrum. Russ Phys J 57, 888–897 (2014). https://doi.org/10.1007/s11182-014-0321-8
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DOI: https://doi.org/10.1007/s11182-014-0321-8