Nullplane invariance of Hamiltonian nullplane dynamics.
Abstract
Relativistic Hamiltonian fewbody dynamics [1,2] involves two unitary representations of the Poincare group on the Hilbert space H of physical states, with and without interactions. These two representations, U({Lambda}, a) and U{sub 0}({Lambda},a), coincide for a kinematic subgroup H. The ''Hamiltonians'' are the generators not in the Lie algebra of the kinematic subgroup. The kinematic subgroup of nullplane dynamics leaves the nullplane z {center_dot} x {triple_bond} x{sup 0} + x{sub 3} = 0 invariant. Fewbody Hamiltonians satisfying the required commutation relations can be constructed as functions of a mass operator and kinematic quantities. For more than two particles there are nontrivial problems in satisfying cluster separability. [3] Consistency of electroweak interactions with strong interactions also involves significant problems: Poincare covariance of current operators requires the construction of appropriate interaction currents.
 Authors:
 Publication Date:
 Research Org.:
 Argonne National Lab., IL (US)
 Sponsoring Org.:
 US Department of Energy (US)
 OSTI Identifier:
 10905
 Report Number(s):
 ANL/PHY/CP96947
TRN: US0103919
 DOE Contract Number:
 W31109ENG38
 Resource Type:
 Conference
 Resource Relation:
 Conference: 16th European Conference on FewBody Problems in Physics, Autrans (FR), 06/01/199806/06/1998; Other Information: PBD: 29 Jul 1998
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; COMMUTATION RELATIONS; HAMILTONIANS; HILBERT SPACE; POINCARE GROUPS; STRONG INTERACTIONS; MANYBODY PROBLEM; WEAK INTERACTIONS
Citation Formats
Coester, F. Nullplane invariance of Hamiltonian nullplane dynamics.. United States: N. p., 1998.
Web.
Coester, F. Nullplane invariance of Hamiltonian nullplane dynamics.. United States.
Coester, F. 1998.
"Nullplane invariance of Hamiltonian nullplane dynamics.". United States.
doi:. https://www.osti.gov/servlets/purl/10905.
@article{osti_10905,
title = {Nullplane invariance of Hamiltonian nullplane dynamics.},
author = {Coester, F.},
abstractNote = {Relativistic Hamiltonian fewbody dynamics [1,2] involves two unitary representations of the Poincare group on the Hilbert space H of physical states, with and without interactions. These two representations, U({Lambda}, a) and U{sub 0}({Lambda},a), coincide for a kinematic subgroup H. The ''Hamiltonians'' are the generators not in the Lie algebra of the kinematic subgroup. The kinematic subgroup of nullplane dynamics leaves the nullplane z {center_dot} x {triple_bond} x{sup 0} + x{sub 3} = 0 invariant. Fewbody Hamiltonians satisfying the required commutation relations can be constructed as functions of a mass operator and kinematic quantities. For more than two particles there are nontrivial problems in satisfying cluster separability. [3] Consistency of electroweak interactions with strong interactions also involves significant problems: Poincare covariance of current operators requires the construction of appropriate interaction currents.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1998,
month = 7
}



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