Publisher's Note: Solution of the Relativistic Dirac-Morse Problem[Phys. Rev. Lett. 87, 210405 (2001)]

Relativistic solution in D-dimensions to a spin-zero particle for equal scalar and vector ring-shaped Kratzer potential

“…Recently, many authors have worked on solving these equations with physical potentials including the Morse potential [3,4], Hulthén potential [5][6][7][8][9], Woods-Saxon potential [10,11], Pösch-Teller potential [12,13], reflectionless-type potential [14], pseudoharmonic oscillator [15][16][17], ring-shaped harmonic oscillator [18], V 0 tanh 2 ( / 0 ) potential [19], five-parameter exponential potential [20,21], Rosen-Morse potential [22], generalized symmetrical double-well potential [23], etc. It is remarkable that in most works in this area, the scalar and vector potentials are taken to be almost equal (i.e., S = V ) [2,24].…”

Scattering of a Klein-Gordon particle by a Woods-Saxon potential

“…Recently, the Woods-Saxon potential and their supersymmetric extensions have been extensively discussed in the literature [1,2,3,4,5]. Among the advantages of working with the Woods-Saxon potential we have to mention that, in the one-dimensional case, the KleinGordon as well as the Dirac equations are solvable in terms of special functions and therefore the study of bound states and scattering processes becomes more tractable.…”

Решения Родригеса Уравнения Дирака Для Форминвариантных Потенциалов: Подход На Основе Мастер-Функции

“…Решения уравнения Дирака с такими физическими потенциала-ми, как кулоновский потенциал [4], потенциал Морзе [5], потенциал гармоническо-го осциллятора [6] и т.д., также рассматривались как релятивистские обобщения этих потенциалов. В работе [7] уравнение Дирака было решено для заряженно-го спинора в электромагнитном поле для сферически-симметричных потенциалов Дирака-Розена-Морзе, Дирака-Экарта, Дирака-Скарфа и Дирака-Пошля-Теллера.…”