On Partial Charge Transfer Processes in Multiparticle Systems on Graphs
Keyword(s):
We assess the probability of resonances between sufficiently distant states of an N-particle disordered quantum system in a combinatorial graph Z. In the N-particle configuration space, there are arbitrarily distant pairs of configurations giving rise to pairs of local (random) Hamiltonians which are strongly coupled, so that the eigenvalue concentration (EVC) bounds are difficult to obtain. We extend to any number of particles the efficient EVC bounds, obtained earlier for the 2-particle systems.
1982 ◽
Vol 263
(1)
◽
pp. 1-16
◽
Keyword(s):
Keyword(s):
1992 ◽
Vol 176
(Part_1)
◽
pp. 121-126
Keyword(s):
1982 ◽
Vol 37
(5)
◽
pp. 649-652
◽
2004 ◽
Vol 38
(2)
◽
pp. 108-114
◽
2019 ◽
Vol 21
(31)
◽
pp. 17118-17125
◽
Keyword(s):
1979 ◽
Keyword(s):
2019 ◽
Vol 124
(3)
◽
pp. 2137-2145
◽