Nota de FísicaPublicado
Comments on Dirac-like Monopole, Maxwell and Maxwell-Chern-Simons Electrodynamics in D=(2+1)
W. A. M. Melo; José Abdalla Helayel Neto
2000
Dados da publicação
- Autores
- W. A. M. Melo; José Abdalla Helayel Neto
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 2000
- Descrição
- Classical Maxwell and Maxwell-Chern-Simons (MCS) Electrodynamics in (2+1)D are studied in some details. General expressions for the potential and fields are obtained for both models, and some particular cases are explicitly solved. Conceptual and technical difficulties arise, however, for accelerated charges. The propagation of electromagnetic signals is also studied and their reverberation is worked out and discussed. Furthermore, we show that a Dirac-like monopole yields a (static) tangential electric field. We also discuss some classical and quantum consequences of the field created by such a monopole when acting upon an usual electric charge. In particular, we show that at large distances, the dynamics of one single charged particle under the action of such a potential and a constant (external) magnetic field as well, reduces to that of one central harmonic oscillator, presenting, however, an interesting angular sector which admits energy-eigenvalues. For example, the quantisation of these eigenvalues yields a Dirac-like condition on the product of the charges. Moreover, such eigenvalues are shown to feel (and respond) to discrete shift of the angle variable. We also raise the question on the possibility of the formation of bound states in this system.
- Ano
- 2000
- Número
- CBPF-NF-027/00
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não