Summary
The propagator of a particle inside a sector of opening angle α is calculated exactly by the approach of path integrals of Feynman. The wave functions suitably normalized are then derived. Special cases of propagators are considered.
Riassunto
Si calcola esattamente il propagatore di una particella entro un settore di un angolo di apertura α per mezzo dell–approccio degli integrali di percorso di Feynman. Si deducono poi le funzioni d–onda opportunamente normalizzate. Si considerano i casi speciali dei propagatori.
Резюме
Точно вычисляется пропагатор частицы внутри сектора открытого угла а, используя подход интегралов по траекториям Фейнмана. Выводятся волновые функции, нормированные соответствующим образом. Рассматриваются специальные случаи пропагаторов.
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Chetouani, I., Guechi, L. & Hammann, T.F. Path integral of a particle moving inside a sector. Nuov Cim B 101, 547–556 (1988). https://doi.org/10.1007/BF02748958
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DOI: https://doi.org/10.1007/BF02748958