Abstract
It is shown that the Dirac equation with attractive monomial vector potential cannot confine a particle. General polynomial type vector potential cannot confine a particle, either. This condition is not changed by a scalar potential smaller than the vector one.
Similar content being viewed by others
References
Y. Shibata, and H. Tezuka; Z. Phys. C 62 (1994) 533
L. Tomio, and P.L. Ferreira: Nuovo Cimento 107B (1992) 785
R.K. Bhaduri: Models of the nucleons, Reading Mass.: Addison-Wesley 1988; B Thaller: The Dirac equation, Berlin, Heidelber, New York: Springer 1992
J.D. Biorken, S.D. Drell; Relativistic quantum mechanics, New York: McGraw-Hill 1964, C. Itzykson, J.-B. Zuber; Quantum field theory, New York: McGraw0Hill 1985
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tezuka, H. Confinement by polynomial potentials. Z. Phys. C - Particles and Fields 65, 101–104 (1995). https://doi.org/10.1007/BF01571309
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01571309