The Moments of the Hydrogen Atom by the Method of Brackets

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2017
• Автори: Gonzalez, I., Kohl, K.T., Kondrashuk, I., Moll, V.H., Salinas, D.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/148558
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: The Moments of the Hydrogen Atom by the Method of Brackets / I. Gonzalez, K.T. Kohl, I. Kondrashuk, V.H. Moll, D. Salinas // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 29 назв. — англ.

Expectation values of powers of the radial coordinate in arbitrary hydrogen states are given, in the quantum case, by an integral involving the associated Laguerre function. The method of brackets is used to evaluate the integral in closed-form and to produce an expression for this average value as...