According to the general program proposed in the first paper, Koba, Tati and one of the
present authors have given in the second paper a perfectly relativistic formulation of the …

The first term HO in (5.13) does not contain the electromagnetic potential and has the same
form as (5.6). This part of HVM represents thus the Hamiltonian density of the free meson …

On a Relativistically Invariant Formulation. 199 which the ψ-vector depends no longer on C,
but the field quantities, on the other hand, depend on C, not only on t. Also in our …

28 S. TOMONAGA where H is the operator representing the total energy of the field which is
given by the space integral of a function of υ and λ. As we adopt here the Sehrodinger …

The validity of the rules given in previous papers for the solution of problems in quantum
electrodynamics is established. Starting with Fermi's formulation of the field as a set of …

In a series of papers I)!) T omollaga and others developed a new formalism of the quantum
field theory which was more satisfactoty than the current one from the stand-point of the …

By means of the formalism of Duffin and Kemmer there is constructed for mesons interacting
with the electromagnetic field a theory that is manifestly Lorentz invariant and also gauge …

In contrast to non-relativistic quantum mechanics, which can be considered logically
complete, we possess today only fragments of a relativistic quantum mechanics. We shall …

The radiation field is quantized by introducing four types of photons-two transverse, one
longitudinal, and one scalar. The scalar photons are treated by using an indefinite metric …

The investigations of Dirac (1936) on relativistic wave equations for particles with arbitrary
spin have recently been followed up by one of us (Fierz, 1939, referred to as (A)) It was there …