Т-матриця в дискретному, осциляторному представленнi

We investigate T-matrix for bound and continuous-spectrum states in the discrete oscillator representation. The investigation is carried out for a model problem – the particle in the field of a central potential. A system of linear equations is derived to determine the coefficients of the T-matrix e...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2019
Автори: Vasilevsky, V. S., Soloha-Klymchak, M. D.
Формат: Стаття
Мова:English
Опубліковано: Publishing house "Academperiodika" 2019
Теми:
Онлайн доступ:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019241
Теги: Додати тег
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Назва журналу:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
Опис
Резюме:We investigate T-matrix for bound and continuous-spectrum states in the discrete oscillator representation. The investigation is carried out for a model problem – the particle in the field of a central potential. A system of linear equations is derived to determine the coefficients of the T-matrix expansion in the oscillator functions. We selected four potentials (Gaussian, exponential, Yukawa, and square-well ones) to demonstrate peculiarities of the T-matrix and its dependence on the potential shape. We also study how the T-matrix expansion coefficients depend on the parameters of the oscillator basis such as the oscillator length and the number of basis functions involved in calculations.