Mathematical aspects of quantum fluids. III. Interior Clebsch representations and transformations of symplectic two-cocycles for /sup 4/He
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
The symplectic two-cocycle on the semidirect product Lie algebra gX(Wdirect-sumV*direct-sumV) is shown to be canonically related to the dual spaces of the Lie algebras (a) gX(Wdirect-sum(gXV)) and (b) gX(Wdirect-sum(gXV*)). This fact (a) explains the second Poisson bracket for irrotational /sup 4/He and (b) leads to a derivation of a new nonlinear Poisson bracket for rotating /sup 4/He.
- Research Organization:
- The University of Tennessee Space Institute, Tullahoma, Tennessee 37388 and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
- OSTI ID:
- 5085524
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:12; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640450* -- Fluid Physics-- Superfluidity
640460 -- Fluid Physics-- Other Quantum Fluids
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGEBRA
BOSE-EINSTEIN CONDENSATION
DYNAMICS
EVEN-EVEN NUCLEI
FLUIDS
GROUP THEORY
HAMILTONIANS
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
LASL
LIE GROUPS
LIGHT NUCLEI
MATHEMATICAL OPERATORS
MATHEMATICS
MATRICES
MECHANICS
MOTION
NATIONAL ORGANIZATIONS
NONLINEAR PROBLEMS
NUCLEI
QUANTUM FLUIDS
QUANTUM OPERATORS
ROTATION
STABLE ISOTOPES
SYMMETRY GROUPS
TRANSFORMATIONS
US AEC
US DOE
US ERDA
US ORGANIZATIONS
640460 -- Fluid Physics-- Other Quantum Fluids
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGEBRA
BOSE-EINSTEIN CONDENSATION
DYNAMICS
EVEN-EVEN NUCLEI
FLUIDS
GROUP THEORY
HAMILTONIANS
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
LASL
LIE GROUPS
LIGHT NUCLEI
MATHEMATICAL OPERATORS
MATHEMATICS
MATRICES
MECHANICS
MOTION
NATIONAL ORGANIZATIONS
NONLINEAR PROBLEMS
NUCLEI
QUANTUM FLUIDS
QUANTUM OPERATORS
ROTATION
STABLE ISOTOPES
SYMMETRY GROUPS
TRANSFORMATIONS
US AEC
US DOE
US ERDA
US ORGANIZATIONS