The third exactly solvable hypergeometric quantum-mechanical potential / A. Ishkhanyan
Уровень набора: EPL (Europhysics Letters), Scientific Journal = 1986-Язык: английский.Страна: .Резюме или реферат: We introduce the third independent exactly solvable hypergeometric potential, after the Eckart and the P¨oschl-Teller potentials, which is proportional to an energy-independent parameter and has a shape that is independent of this parameter. The general solution of the Schr¨odinger equation for this potential is written through fundamental solutions each of which presents an irreducible combination of two Gauss hypergeometric functions. The potential is an asymmetric step-barrier with variable height and steepness. Discussing the transmission above such a barrier, we derive a compact formula for the reflection coefficient..Примечания о наличии в документе библиографии/указателя: [References: 37 tit.].Тематика: электронный ресурс | труды учёных ТПУ | гипергеометрические системы | уравнение Шредингера | фундаментальные решения | функции Гаусса | коэффициент Ресурсы он-лайн:Щелкните здесь для доступа в онлайнНет реальных экземпляров для этой записи
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[References: 37 tit.]
We introduce the third independent exactly solvable hypergeometric potential, after the Eckart and the P¨oschl-Teller potentials, which is proportional to an energy-independent parameter and has a shape that is independent of this parameter. The general solution of the Schr¨odinger equation for this potential is written through fundamental solutions each of which presents an irreducible combination of two Gauss hypergeometric functions. The potential is an asymmetric step-barrier with variable height and steepness. Discussing the transmission above such a barrier, we derive a compact formula for the reflection coefficient.
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