Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
26 (1985), S. 753-768
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
For quantum systems in R3 defined by a Hamiltonian H given as the sum of the negative Laplacian perturbed by a real-valued potential v(x), the large time behavior of the fundamental solution of the time-dependent Schrödinger equation is investigated. For a suitably restricted class of potentials that have algebraic decay as ||x||→∞, the continuous spectrum portion of the fundamental solution is characterized by an asymptotic expansion as t→±∞, which is uniform in compact subsets of R3×R3. These results are then applied to derive the large energy asymptotic expansions of the spectral kernel associated with H.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.526563
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