Relativistic Quantum Theory of Particles with Variable Mass, Ii.

Introduction.-In the first part of this paper,' it was shown that the following wave equation offers a new method for describing a free particle in relativistic quantum theory: (iEps ± Mc)/M = 0, (1) where M is the operator M = m + moEk l?7kq + m'eke?7. (2) Here, m, mo, m' are any scalar hermitian operators which commute with ECk, 7ki, Pi, and in particular they may be c-numbers. The momentum operators Pi also commute with ci, Eki, nl, 7kj. The operators vi, 7k1 commute with the operators Ei, eCk, and these satisfy among themselves the following commutation relations: