Автор |
O E Alon |
Автор |
N Moiseyev |
Автор |
A Peres |
Дата выпуска |
1995-03-23 |
dc.description |
The momentum operator for a particle in a box is represented by an infinite-order Hermitian matrix P. Its square P<sup>2</sup> is well-defined (and diagonal), but its cube P<sup>3</sup> is ill-defined, because P P<sup>2</sup> not=P<sup>2</sup> P. Truncating these matrices to a finite order restores the associative law, but leads to other curious results. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Infinite matrices may violate the associative law |
Тип |
paper |
DOI |
10.1088/0305-4470/28/6/027 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
28 |
Первая страница |
1765 |
Последняя страница |
1769 |
Аффилиация |
O E Alon; Dept. of Chem., Technion-Israel Inst. of Technol., Haifa, Israel |
Аффилиация |
N Moiseyev; Dept. of Chem., Technion-Israel Inst. of Technol., Haifa, Israel |
Аффилиация |
A Peres; Dept. of Chem., Technion-Israel Inst. of Technol., Haifa, Israel |
Выпуск |
6 |