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Title: Null-plane invariance of Hamiltonian null-plane dynamics.

Abstract

Relativistic Hamiltonian few-body 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 null-plane dynamics leaves the null-plane z {center_dot} x {triple_bond} x{sup 0} + x{sub 3} = 0 invariant. Few-body 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 electro-weak 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/CP-96947
TRN: US0103919
DOE Contract Number:
W-31109-ENG-38
Resource Type:
Conference
Resource Relation:
Conference: 16th European Conference on Few-Body Problems in Physics, Autrans (FR), 06/01/1998--06/06/1998; 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; MANY-BODY PROBLEM; WEAK INTERACTIONS

Citation Formats

Coester, F. Null-plane invariance of Hamiltonian null-plane dynamics.. United States: N. p., 1998. Web.
Coester, F. Null-plane invariance of Hamiltonian null-plane dynamics.. United States.
Coester, F. 1998. "Null-plane invariance of Hamiltonian null-plane dynamics.". United States. doi:. https://www.osti.gov/servlets/purl/10905.
@article{osti_10905,
title = {Null-plane invariance of Hamiltonian null-plane dynamics.},
author = {Coester, F.},
abstractNote = {Relativistic Hamiltonian few-body 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 null-plane dynamics leaves the null-plane z {center_dot} x {triple_bond} x{sup 0} + x{sub 3} = 0 invariant. Few-body 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 electro-weak 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
}

Conference:
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