Irreversible Quantum Mechanics in the Neutral K-System
High Energy Physics - Theory
2009-10-30 v1 Quantum Physics
Abstract
The neutral Kaon system is used to test the quantum theory of resonance scattering and decay phenomena. The two dimensional Lee-Oehme-Yang theory with complex Hamiltonian is obtained by truncating the complex basis vector expansion of the exact theory in Rigged Hilbert space. This can be done for K_1 and K_2 as well as for K_S and K_L, depending upon whether one chooses the (self-adjoint, semi-bounded) Hamiltonian as commuting or non-commuting with CP. As an unexpected curiosity one can show that the exact theory (without truncation) predicts long-time 2 pion decays of the neutral Kaon system even if the Hamiltonian conserves CP.
Keywords
Cite
@article{arxiv.hep-th/9705042,
title = {Irreversible Quantum Mechanics in the Neutral K-System},
author = {Arno Bohm},
journal= {arXiv preprint arXiv:hep-th/9705042},
year = {2009}
}
Comments
36 pages, 1 PostScript figure included