Null-plane invariance of Hamiltonian null-plane dynamics.

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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 ... continued below

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6 p.

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Coester, F. July 29, 1998.

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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.

Physical Description

6 p.

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INIS; OSTI as DE00010905

Medium: P; Size: 6 pages

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  • 16th European Conference on Few-Body Problems in Physics, Autrans (FR), 06/01/1998--06/06/1998

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  • Report No.: ANL/PHY/CP-96947
  • Grant Number: W-31109-ENG-38
  • Office of Scientific & Technical Information Report Number: 10905
  • Archival Resource Key: ark:/67531/metadc620313

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  • July 29, 1998

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • April 11, 2017, 1:08 p.m.

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Coester, F. Null-plane invariance of Hamiltonian null-plane dynamics., article, July 29, 1998; Illinois. (digital.library.unt.edu/ark:/67531/metadc620313/: accessed December 10, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.