| Journal: | Brazilian journal of physics |
| Database: | PERIÓDICA |
| System number: | 000398862 |
| ISSN: | 0103-9733 |
| Authors: | Bemfica, F.S1 Girotti, H.O1 |
| Institutions: | 1Universidade Federal do Rio Grande do Sul, Instituto de Fisica, Porto Alegre, Rio Grande do Sul. Brasil |
| Year: | 2008 |
| Season: | Jun |
| Volumen: | 38 |
| Number: | 2 |
| Pages: | 227-236 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | This is a review paper concerned with the global consistency of the quantum dynamics of non-commutative systems. Our point of departure is the theory of constrained systems, since it provides a unified description of the classical and quantum dynamics for the models under investigation. We then elaborate on recently reported results concerned with the sufficient conditions for the existence of the Born series and unitarity and turn, afterwards, into analyzing the functional quantization of non-commutative systems. The compatibility between the operator and the functional approaches is established in full generality. The intricacies arising in connection with the explicit computation of path integrals, for the systems under scrutiny, is illustrated by presenting the detailed calculation of the Feynman kernel for the non-commutative two dimensional harmonic oscillator |
| Disciplines: | Física y astronomía |
| Keyword: | Física de partículas y campos cuánticos, Mecánica cuántica, Mecánica cuántica no conmutativa, Dinámica cuántica |
| Keyword: | Physics and astronomy, Particle physics and quantum fields, Quantum mechanics, Noncommutative quantum mechanics, Quantum dynamics |
| Full text: | Texto completo (Ver PDF) |
