Improved Lee, Oehme and Yang approximation
Abstract
The Lee, Oehme and Yang (LOY) theory of time evolution in two state subspace of states of the complete system is discussed. Some inconsistencies in assumptions and approximations used in the standard derivation of the LOY effective Hamiltonian, H(LOY), governig this time evolution are found. Eliminating these inconsistecies and using the LOY method, approximate formulae for the effective Hamiltonian, H(eff), governing the time evolution in this subspace (improving those obtained by LOY) are derived. It is found, in contradistinction to the standard LOY result, that in the case of neutral kaons (<K(0)H(eff)K(0)>  <K(0)barH(eff)K(0)bar>), cannot take the zero value if the total system the preserves CPTsymmetry. Within the use of the method mentioned above formulae for H(eff) acting in the three state (three dimensional) subspace of states are also found.
 Publication:

arXiv eprints
 Pub Date:
 March 1998
 DOI:
 10.48550/arXiv.physics/9803030
 arXiv:
 arXiv:physics/9803030
 Bibcode:
 1998physics...3030U
 Keywords:

 Mathematical Physics;
 High Energy Physics  Phenomenology
 EPrint:
 LaTex2e, 34 pages, new references are added and some parts of the paper are changed