Research output: Contribution to journal › Article › peer-review
Asymptotic behavior of eigenfunctions of the three-particle schrödinger operator. II. Charged one-dimensional particles. / Buslaev, V. S.; Levin, S. B.
In: St. Petersburg Mathematical Journal, Vol. 22, No. 3, 2011, p. 379-392.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Asymptotic behavior of eigenfunctions of the three-particle schrödinger operator. II. Charged one-dimensional particles
AU - Buslaev, V. S.
AU - Levin, S. B.
PY - 2011
Y1 - 2011
N2 - A system of three one-dimensional quantum particles with Coulomb pairwise interaction is treated. A scattered plane wave type asymptotic description at infinity in the configuration space of generalized eigenfunctions is obtained. Though remaining at a heuristic level, the constructions of the paper may serve as a basis for rigorous proofs of the results.
AB - A system of three one-dimensional quantum particles with Coulomb pairwise interaction is treated. A scattered plane wave type asymptotic description at infinity in the configuration space of generalized eigenfunctions is obtained. Though remaining at a heuristic level, the constructions of the paper may serve as a basis for rigorous proofs of the results.
KW - Coulomb interaction
KW - Onedimensional particles
KW - Quantum scattering
KW - Three-particle scattering
UR - http://www.scopus.com/inward/record.url?scp=84871361400&partnerID=8YFLogxK
U2 - 10.1090/S1061-0022-2011-01147-1
DO - 10.1090/S1061-0022-2011-01147-1
M3 - Article
VL - 22
SP - 379
EP - 392
JO - St. Petersburg Mathematical Journal
JF - St. Petersburg Mathematical Journal
SN - 1061-0022
IS - 3
ER -
ID: 5375235