TY - JOUR
T1 - Generalized eigenstates of the rate matrix in resonance scattering theory
T2 - Trapping eigenstates
AU - Remacle, F.
AU - Levine, R. D.
PY - 1996/2/26
Y1 - 1996/2/26
N2 - For N nondegenerate quasi bound states ("resonances") coupled to K continuum channels (N > K), it is shown that the full effective Hamiltonian which describes the dynamics is diagonal in the generalized eigenstates of the rank deficient rate matrix, thereby having N - K stable ("trapping") eigenstates and K promptly decaying ones.
AB - For N nondegenerate quasi bound states ("resonances") coupled to K continuum channels (N > K), it is shown that the full effective Hamiltonian which describes the dynamics is diagonal in the generalized eigenstates of the rank deficient rate matrix, thereby having N - K stable ("trapping") eigenstates and K promptly decaying ones.
KW - Decay widths
KW - Effective hamiltonian
KW - Generalized eigenstates
KW - Overlapping resonances
KW - Resonance scattering theory
KW - Rydberg states
KW - Trapping model
UR - http://www.scopus.com/inward/record.url?scp=0001605896&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(95)00978-7
DO - 10.1016/0375-9601(95)00978-7
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AN - SCOPUS:0001605896
SN - 0375-9601
VL - 211
SP - 284
EP - 288
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5
ER -