In:
Journal of Mathematical Physics, AIP Publishing, Vol. 28, No. 5 ( 1987-05-01), p. 1030-1031
Abstract:
Let a(t,ω) be a stationary process such that 0 & lt;E[1/a(t,ω)] & lt;∞. It is shown that the random boundary-value problem Hy=−(d/dt)a(t,ω)(dy/dt)=λy, y(0)=y′(L)=0, has a unique solution (λi(ω,L), yi(t,ω,L)) for i≥0 and λi(ω,L)/λoi(L)→1 almost surely as L→∞, where λoi(L) is the ith eigenvalue of the averaged Hamiltonian Hoy=−[1/E(1/a(t,ω))] (d2y/dt2) =λy, y(0)=y′(L)=0 .
Type of Medium:
Online Resource
ISSN:
0022-2488
,
1089-7658
Language:
English
Publisher:
AIP Publishing
Publication Date:
1987
detail.hit.zdb_id:
1472481-9
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