Hamiltonian of a system of N particles with separated collective motion

Journal Article · Mon Nov 01 04:00:00 EST 1976 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:7308773

Ovcharenko, V I

The kinetic-energy operator for the motion of a system of N nucleons about the center of mass is transformed to 3N--3 spatial variables, six of which are collective variables and characterize the shape, dimensions, and rotation of the system, and 3N--9 of which give the orientation of three mutually orthogonal vectors in an (N--1) -dimensional space. A factorized expression is obtained for the matrix of the metric tensor which enables us on the one hand to find the explicit dependence of the Hamiltonian on all new variables and on the other hand to express it in terms of the infinitesimal operators of the representations of the groups SO (3) and O (N--1).

• Research Organization: Institute of Theoretical Physics, Ukrainian Academy of Sciences
• OSTI ID: 7308773
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 24:5; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CENTER-OF-MASS SYSTEM
COLLECTIVE MODEL
ENERGY
FUNCTIONS
HAMILTONIAN FUNCTION
KINETIC ENERGY
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
METRICS
NUCLEAR MODELS
QUANTUM OPERATORS
SO GROUPS
SYMMETRY GROUPS
TENSORS
TRANSFORMATIONS