@article{19162464483b43398f5fa3b125b88690, title = "Time decay and spectral kernel asymptotics", abstract = "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 Schr{\"o}dinger 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 X ℝ3. These results are then applied to derive the large energy asymptotic expansions of the spectral kernel associated with H. {\textcopyright} 1985 American Institute of Physics.", author = "Osborn, {T. A.} and R. Wong", year = "1985", doi = "10.1063/1.526563", language = "English", volume = "26", pages = "753--768", journal = "Journal of Mathematical Physics", issn = "0022-2488", publisher = "A I P Publishing LLC", number = "4", }