Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability

• Дата: 2010
• Автори: Mazharimousavi, H., Mustafa, O.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2010
• Назва видання: Symmetry, Integrability and Geometry: Methods and Applications
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/146512
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability / H. Mazharimousavi, O. Mustafa // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 30 назв. — англ.

The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schr¨odinger equation is discussed. A hypothetical toy model is reported and two exactly solvable examples are studied.