Canonical representations of sp(2 n , R )

Journal Article · Wed Apr 01 04:00:00 EST 1992 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.529702· OSTI ID:7278277

Rangarajan, G ^[1]; Neri, F ^[2]

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1. Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)
2. AT Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

In this paper a rather unconventional real basis for the real symplectic algebra sp(2{ital n},{ital R}) is studied. This basis is valid for representations carried by homogeneous polynomials of the 2{ital n} phase-space variables. The utility of this basis for practical computations is demonstrated by giving a simple derivation of the second- and fourth-order indices of irreducible representations of sp(2{ital n},{ital R}).

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 7278277
• Journal Information: Journal of Mathematical Physics (New York); (United States), Journal Name: Journal of Mathematical Physics (New York); (United States) Vol. 33:4; ISSN 0022-2488; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
COMMUTATION RELATIONS
FUNCTIONS
GROUP THEORY
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
PHASE SPACE
POLYNOMIALS
SPACE
SYMMETRY GROUPS