Probability current in zero-spin relativistic quantum mechanics
| Autor: | Fülöp, Tamás, Matolcsi, Tamás |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Yu L Dokshitzer (ed.), Gribov-90 Memorial Volume - Field Theory, Symmetry, and Related Topics : Proceedings of the Memorial Workshop Devoted to the 90th Birthday of V N Gribov, 2021, Singapore: World Scientific, pp433-446 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/9789811238406_0035 |
| Popis: | We show that the antisymmetric spinor tensor representation of spin-0 relativistic quantum mechanics provides a conserved current with positive definite timelike component, interpretable as probability density. The construction runs in complete analogy to the spin-1/2 case, and provides an analogously natural one-particle Hilbert space description for spin 0. Except for the free particle, the obtained formulation proves to be inequivalent to the one based on the Klein--Gordon equation. The second quantized version may lead to new field theoretical interaction terms for zero-spin particles. Comment: 9 pages, no figures; material presented at the Zim\'anyi School, December 7-11, 2015, Budapest, Hungary |
| Databáze: | arXiv |
| Externí odkaz: |
|