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Darboux Transformations for the Generalized SchrЁodinger Equation
- Authors: Suzko AA1, Velicheva EP1
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Affiliations:
- Joint Institute for Nuclear Research
- Issue: No 2 (2011)
- Pages: 148-160
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8748
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Abstract
The Darboux transformations of the n-th order is elaborated for a generalized Schr̈odinger equation with a position-dependent effective mass and with a linearly energy-dependent potential. The Darboux transformations are given also in an integral form. A correspondence between the differential Darboux transformations and the integral ones has been established. The second-order Darboux transformations are analyzed both at different energies and at the same transformation energy. The method is illustrated by several examples of constructing quantum potential wells with a given spectrum.
About the authors
A A Suzko
Joint Institute for Nuclear Research
Email: suzko@jinr.ru
Лаборатория информационных технологийОбъединённый институт энергетических и ядерных исследований НАН Р. Беларусьул. акад. А.К. Красина, 99, Минск, 220109, Республика Беларусь; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research
E P Velicheva
Joint Institute for Nuclear Research
Email: velicheva@jinr.ru
Лаборатория ядерных проблем; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research
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