On intrinsic structure of wave function of fermion triplet in external monopole field
Abstract
Using the WeylTetrodeFock spinor formalism, the fermion triplet in the 't HooftPolyakov monopole field is examined all over again. Spherical solutions corresponding to the total conserved momentum J =l + S + T are constructed. The angular dependence is expressed in terms of the Wigner's functions. The radial system of 12 equations decomposes into two subsystems by diagonalizing some complicated inversion operator. The case of minimal j = 1/2 is considered separately. A more detailed analysis is accomplished for the case of simplest monopole field: namely, the one produced by putting the Dirac potential into the nonAbelian scheme. Now a discrete operation diagonalized contains an additional complex parameter A. The same parameter enters wave functions. This quantity can manifest itself at matrix elements. In particular, there have been analyzed the N(A)parity selection rules: those depending on the A. As shown, the Afreedom is a consequence of the existence of additional symmetry of the relevant Hamiltonian. The wave functions exhibit else one kind of freedom: Bfreedom associated in turn with its own symmetry of the Hamiltonian. There has been examined both A and Btransformations relating functions associated with different A and B.
 Publication:

arXiv eprints
 Pub Date:
 February 1999
 arXiv:
 arXiv:quantph/9902034
 Bibcode:
 1999quant.ph..2034R
 Keywords:

 Quantum Physics
 EPrint:
 30 pages, Latex 209