Metastable states of a~composite system tunneling through repulsive barriers
Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 1, pp. 27-50
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We consider a method for solving the problem of quantum tunneling through repulsive potential barriers for a composite system consisting of several identical particles coupled via pair oscillator-type potentials in the oscillator symmetrized-coordinate representation. We confirm the efficiency of the proposed approach by calculating complex energy values and analyzing metastable states of composite systems of three, four, and five identical particles on a line, which leads to the effect of quantum transparency of the repulsive barriers.
Keywords:
quantum tunneling, system of identical particles, symmetrized-coordinate representation, harmonic oscillator basis, complex energy value, metastable state, quantum transparency.
@article{TMF_2016_186_1_a1,
author = {A. A. Gusev and S. I. Vinitsky and O. Chuluunbaatar and V. L. Derbov and A. Gozdz and P. M. Krasovitskii},
title = {Metastable states of a~composite system tunneling through repulsive barriers},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {27--50},
publisher = {mathdoc},
volume = {186},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a1/}
}
TY - JOUR AU - A. A. Gusev AU - S. I. Vinitsky AU - O. Chuluunbaatar AU - V. L. Derbov AU - A. Gozdz AU - P. M. Krasovitskii TI - Metastable states of a~composite system tunneling through repulsive barriers JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2016 SP - 27 EP - 50 VL - 186 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a1/ LA - ru ID - TMF_2016_186_1_a1 ER -
%0 Journal Article %A A. A. Gusev %A S. I. Vinitsky %A O. Chuluunbaatar %A V. L. Derbov %A A. Gozdz %A P. M. Krasovitskii %T Metastable states of a~composite system tunneling through repulsive barriers %J Teoretičeskaâ i matematičeskaâ fizika %D 2016 %P 27-50 %V 186 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a1/ %G ru %F TMF_2016_186_1_a1
A. A. Gusev; S. I. Vinitsky; O. Chuluunbaatar; V. L. Derbov; A. Gozdz; P. M. Krasovitskii. Metastable states of a~composite system tunneling through repulsive barriers. Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 1, pp. 27-50. http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a1/