Synthesis of covariant particle equations

LL Foldy - Physical Review, 1956 - APS
By combining two irreducible representations of the proper inhomogeneous Lorentz group,
certain irreducible unitary representations of the complete Lorentz group including space …

Lorentz-covariant position operators for spinning particles

TF Jordan, N Mukunda - Physical Review, 1963 - APS
An examination is made of the consequences for the quantum mechanics of spinning
particles of equations characteristic of Lorentz-covariant position variables. These equations …

Description of a particle with arbitrary mass and spin

DL Weaver, CL Hammer, RH Good Jr - Physical Review, 1964 - APS
A Lorentz covariant description of a particle and antiparticle with spin s= 0, 1 2, 1,⋯ and finite
rest mass is given in this paper. The wave function has 2 (2 s+ 1) components so that no …

Relativistic wave equations for the elementary particles

HJ Bhabha - Reviews of Modern Physics, 1945 - APS
RELATIVISTIC WAVE EQUATIONS 201 lower values of therest mass being the stable ones
in each case. In general, it can be shown that for a particle of spin n the number of different …

Relativistic particle systems with interaction

LL Foldy - Physical Review, 1961 - APS
The possibility of covariantly describing a system of a fixed number of particles interacting
directly is explored by attempting a direct" integration" of the commutation relations for the …

On a theory of particles with half-integral spin

W Rarita, J Schwinger - Physical Review, 1941 - APS
'~ IERZ and Pauli'have developed a general theory of particles with arbitrary spin, both
integral and halfintegral. The quantities describing particles of integral spin are tensors of …

Group theoretical discussion of relativistic wave equations

V Bargmann, EP Wigner - Proceedings of the National …, 1948 - National Acad Sciences
Introduction.-The wave functions, 41, describing the possible states of a quantum
mechanical system form a linear vector spaceV which, in general, is infinite dimensional and …

Unitary representations of the inhomogeneous Lorentz group including reflections

EP Wigner - The Collected Works of Eugene Paul Wigner: Part A …, 1993 - Springer
The present notes do not relate to a subject which is now at the center of interest. To be sure,
symmetry considerations play a great and perhaps still increasing role in theoretical physics …

A No‐Interaction Theorem in Classical Relativistic Hamiltonian Particle Dynamics

JT Cannon, TF Jordan - Journal of Mathematical Physics, 1964 - pubs.aip.org
It is shown that a relativistically invariant classical mechanical Hamiltonian description of a
system of three (spinless) particles admits no interaction between the particles. If a set of ten …

On unitary representations of the inhomogeneous Lorentz group

E Wigner - Annals of mathematics, 1939 - JSTOR
The unitary operators D are determined by the physical content of the theory up to a constant
factor again, which can depend on 1 and 1'. Apart from this constant however, the operations …