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APS » Journals » Phys. Rev. A » Volume 53 » Issue 5
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Phys. Rev. A 53, 2948–2952 (1996)

Solving some two-body dynamical problems in 〈ζ|-〈η| representation

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Fan Hongyi
China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China
Department of Material Science and Engineering, China University of Science and Technology, Hefei, Anhui 230026, China

Chen Bozhan
Department of Material Science and Engineering, China University of Science and Technology, Hefei, Anhui 230026, China

Received 17 July 1995; published in the issue dated May 1996

We use the common eigenvectors ‖ζ〉 of two particles’ center-of-mass position Xc=μ1X1+μ2X2 and mass-weighted relative momentum Pr=μ2P1-μ1P2, as well as the eigenvectors ‖η〉 of the other pair commutative operators X=X1-X2 and P=P1+P2 to solve the dynamics of two coupled oscillators. The coupling involves both interbond potential and kinetic coupling. This approach seems to be simple, convenient, and natural. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.53.2948
DOI:
10.1103/PhysRevA.53.2948
PACS:
03.65.Ca, 03.65.Fd
 
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