Research output: Contribution to journal › Article › peer-review
Non-adiabatic matrix elements connecting the continuous spectrum states of the two-centre problem in quantum mechanics. / Ponomarev, L. I.; Slavyanov, S. Yu; Somov, L. N.
In: Journal of Physics B: Atomic and Molecular Physics, Vol. 13, No. 19, 017, 01.12.1980, p. 3797-3805.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Non-adiabatic matrix elements connecting the continuous spectrum states of the two-centre problem in quantum mechanics
AU - Ponomarev, L. I.
AU - Slavyanov, S. Yu
AU - Somov, L. N.
PY - 1980/12/1
Y1 - 1980/12/1
N2 - The expressions for the singular parts of the non-adiabatic matrix elements Hss'(k,R) and Qss'(k,R) connecting the states mod ks) and mod ks') of the continuous spectrum of the two-centre problem are obtained. The numerical calculations are performed for the sets of quantum numbers q=0, 1, ..., 7 and m=0 in the interval of values k=0.2(0.1)1.0(0.2)2(1)10 and R=0.1(0.1)20. The asymptotic behaviour of the matrix elements is found as R to 0 and R to infinity .
AB - The expressions for the singular parts of the non-adiabatic matrix elements Hss'(k,R) and Qss'(k,R) connecting the states mod ks) and mod ks') of the continuous spectrum of the two-centre problem are obtained. The numerical calculations are performed for the sets of quantum numbers q=0, 1, ..., 7 and m=0 in the interval of values k=0.2(0.1)1.0(0.2)2(1)10 and R=0.1(0.1)20. The asymptotic behaviour of the matrix elements is found as R to 0 and R to infinity .
UR - http://www.scopus.com/inward/record.url?scp=0011689007&partnerID=8YFLogxK
U2 - 10.1088/0022-3700/13/19/017
DO - 10.1088/0022-3700/13/19/017
M3 - Article
AN - SCOPUS:0011689007
VL - 13
SP - 3797
EP - 3805
JO - Journal of the European Optical Society Part B: Quantum Optics
JF - Journal of the European Optical Society Part B: Quantum Optics
SN - 0953-4075
IS - 19
M1 - 017
ER -
ID: 41279381