| Автор | Balasundaram Muthukumar |
| Дата выпуска | 2007-01-01 |
| dc.description | We consider the probabilistic description of nonrelativistic, spinless one-particle classical mechanics, and immerse the particle in a deformed noncommutative phase space in which position coordinates do not commute among themselves and also with canonically conjugate momenta. With a postulated normalized distribution function in the quantum domain, the square of the Dirac delta density distribution in the classical case is properly realised in noncommutative phase space and it serves as the quantum condition. With only these inputs, we pull out the entire formalisms of noncommutative quantum mechanics in phase space and in Hilbert space, and elegantly establish the link between classical and quantum formalisms and between Hilbert space and phase space formalisms of noncommutative quantum mechanics. Also, we show that the distribution function in this case possesses 'twisted' Galilean symmetry. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Remarks on the formulation of quantum mechanics on noncommutative phase spaces |
| Тип | paper |
| DOI | 10.1088/1126-6708/2007/01/073 |
| Electronic ISSN | 1029- 8479 |
| Print ISSN | 1126-6708 |
| Журнал | Journal of High Energy Physics |
| Том | 2007 |
| Первая страница | 73 |
| Последняя страница | 073 |
| Аффилиация | Balasundaram Muthukumar; Saha Institute of Nuclear Physics, 1/AF, Bidhan nagar, Kolkata-700 064, India |
| Выпуск | 01 |
