2 Elementary systems on G-manifolds. 292 3 Two elementary systems:
The(GxG)-manifold and its subma- fold splitting underdiag(GxG). 293
4 Examples of internal coordinates on(GxG). 297 5 Kronecker
products and two-particle state decompositions on(Gx G). 298 6
Fusion of two elementary systems on(GxG). 300 7 Elementary systems
on the Poincare-manifold. ' 301 7. 1 Mackey and covariant ?elds.
301 7. 2 From covariant to Mackey ?elds. 302 7. 3 Obstruction of
Poincare-manifolds ' by covariant ?elds. 303 8 Relativistic
position operators and coordinates. 305 8. 1 Position operators for
relativistic Mackey ?elds. 305 8. 2 Position operators for ?elds
with spin. 306 9 From Dirac ?elds to Bargmann-Wigner ?elds by
fusion. 307 10 Elementary systems in interaction. 309 10. 1
Euclidean invariant interactions. 309 10. 2 Interacting Dirac
spinor ?elds. 310 11 Scission of an elementary system. 311 12
Conclusion. 313 13 Appendix. 313 13. 1 A: Orthogonality and
completeness of unitary represen- tions. 313 13. 2 B: Parameters,
cosets and multiplication rules forSl(2,C). 313 13. 3 C:
Observables in the relativistic 2-body system. 314 Propagation in
crossed electric and magnetic ?elds 317 T. Kramer, C. Bracher 1
Introduction 317 2 Elastic scattering and quantum sources 318 2. 1
Connection to the propagator 319 2. 2 Currents generated by quantum
sources 321 2. 3 Density of States 322 2. 4 Construction of the
Green function 322 3 Matter waves in crossed electric and magnetic
?elds 324 3. 1 The quantum propagator 324 3.
General
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