Spatial asymptotics of Green’s function and applications. (English) Zbl 1511.47051
Summary: We study the spatial asymptotics of Green’s function for the 1d Schrödinger operator with operator-valued decaying potential. The bounds on the entropy of the spectral measures are obtained. They are used to establish the presence of the a.c.spectrum.
MSC:
| 47B93 | Operators arising in mathematical physics |
| 81Q10 | Selfadjoint operator theory in quantum theory, including spectral analysis |
| 34L40 | Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) |
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