Abstract:
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.
Citation:
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”, TMF, 186:1 (2016), 27–50; Theoret. and Math. Phys., 186:1 (2016), 21–40