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Titolo:
Independent eigenstates of angular momentum in a quantum N-body system - art. no. 042108
Autore:
Gu, XY; Duan, B; Ma, ZQ;
Indirizzi:
China Ctr Adv Sci & Technol, World Lab, Beijing 100080, Peoples R China China Ctr Adv Sci & Technol Beijing Peoples R China 100080 oples R China Inst High Energy Phys, Beijing 100039, Peoples R China Inst High Energy Phys Beijing Peoples R China 100039 39, Peoples R China
Titolo Testata:
PHYSICAL REVIEW A
fascicolo: 4, volume: 6404, anno: 2001,
pagine: 2108 -
SICI:
1050-2947(200110)6404:4<2108:IEOAMI>2.0.ZU;2-U
Fonte:
ISI
Lingua:
ENG
Soggetto:
SPHERICAL POLAR PARAMETRIZATION; AXIS HYPERSPHERICAL DESCRIPTION; GENERAL POLYATOMIC-MOLECULES; PARTICLE-SYSTEMS; MATRIX-ELEMENTS; ROVIBRATIONAL HAMILTONIANS; VECTOR PARAMETRIZATION; ATOM PROBLEM; STATES; REPRESENTATIONS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
--discip_EC--
Citazioni:
36
Recensione:
Indirizzi per estratti:
Indirizzo: Gu, XY China Ctr Adv Sci & Technol, World Lab, POB 8730, Beijing 100080, Peoples R China China Ctr Adv Sci & Technol POB 8730 Beijing Peoples R China 100080
Citazione:
X.Y. Gu et al., "Independent eigenstates of angular momentum in a quantum N-body system - art. no. 042108", PHYS REV A, 6404(4), 2001, pp. 2108

Abstract

The global rotational degrees of freedom in the Schrodinger equation for an N-body system are completely separated from the internal ones. After removing the motion of the center of mass, we find a complete set of (2l + 1) independent base functions with angular momentum l. These are homogeneous polynomials in the components of the coordinate vectors and the solutions of the Laplace equation, where the Euler angles do not appear explicitly. Any function with given angular momentum and given parity in the system can be expanded with respect to the base functions, where the coefficients are thefunctions of the internal variables. With the right choice of the base functions and the internal variables, we explicitly establish the equations for those functions. Only (3N-6) internal variables are involved both in the functions and in the equations. The permutation symmetry of the wave functions for identical particles is discussed.

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Documento generato il 04/07/20 alle ore 15:04:27