Hamiltonian hydrodynamics equations for a quantum fluid in the presence of solitons
Journal Article
·
· Sov. Phys. - JETP (Engl. Transl.); (United States)
OSTI ID:6092104
The hydrodynamics of an arbitrary quantum fluid is considered. The complete set of Poisson brackets for quantities describing the state of a quantum fluid in the presence of vortices (solitons) is found by generalizing the relations for vortex-free motion. The hydrodynamic equations of motion are written down, as well as the ensuing conservation laws for the momentum energy and the quantities connected with the intrinsic symmetry group of the system. The degrees of freedom connected with the normal motion are taken into account. The hydrodynamics of superfluid He are considered as an example. The complete set of equations and the conservation laws for rotating He/sup 4/ are found. The anisotropic superfluid He/sup 3/-A is considered. The variables required for describing the hydrodynamic motion in the presence of continuously distributed solitons, the nondissipative hydrodynamics laws, and the conservation laws are presented.
- Research Organization:
- L. D. Landau Institute for Theoretical Physics, USSR Academy of Sciences
- OSTI ID:
- 6092104
- Journal Information:
- Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 48:6; ISSN SPHJA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONSERVATION LAWS
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FLUID FLOW
FLUID MECHANICS
FLUIDS
HAMILTONIANS
HELIUM 3
HELIUM 3 A
HELIUM 4
HELIUM II
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL OPERATORS
MECHANICS
MOTION
NUCLEI
QUANTUM FLUIDS
QUANTUM OPERATORS
QUASI PARTICLES
ROTATION
SOLITONS
STABLE ISOTOPES
SYMMETRY GROUPS
VORTEX FLOW
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONSERVATION LAWS
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FLUID FLOW
FLUID MECHANICS
FLUIDS
HAMILTONIANS
HELIUM 3
HELIUM 3 A
HELIUM 4
HELIUM II
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL OPERATORS
MECHANICS
MOTION
NUCLEI
QUANTUM FLUIDS
QUANTUM OPERATORS
QUASI PARTICLES
ROTATION
SOLITONS
STABLE ISOTOPES
SYMMETRY GROUPS
VORTEX FLOW