Algebraic image of the asymmetric top
Thesis/Dissertation
·
OSTI ID:6360840
The algebraic realization of the quantum mechanical rotor by the SU(3) ..-->.. SO(3) algebra is investigated. It is shown that a hamiltonian built from rotationally invariant functions of SU(3) generators reproduces the eigenvalues of the rotor hamiltonian. The equivalence of both models is established also for the quadrupole transition rates and the D/sub 2/ symmetry of the rotor. The relation between the SU(3) ..-->.. SO(3) algebra and the nuclear shell model allows therefore a microscopic interpretation of rotational motion as a many-particle effect.
- Research Organization:
- Louisiana State Univ., Baton Rouge (USA)
- OSTI ID:
- 6360840
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
653001 -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRAIC FIELD THEORY
AXIOMATIC FIELD THEORY
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITED STATES
FIELD THEORIES
HAMILTONIANS
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MOTION
NUCLEAR STRUCTURE
QUANTUM FIELD THEORY
QUANTUM OPERATORS
ROTATION
ROTATIONAL STATES
SO GROUPS
SO-3 GROUPS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
653001 -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRAIC FIELD THEORY
AXIOMATIC FIELD THEORY
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITED STATES
FIELD THEORIES
HAMILTONIANS
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MOTION
NUCLEAR STRUCTURE
QUANTUM FIELD THEORY
QUANTUM OPERATORS
ROTATION
ROTATIONAL STATES
SO GROUPS
SO-3 GROUPS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS