Time decay and spectral kernel asymptotics

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

2 Scopus Citations
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Author(s)

  • T. A. Osborn
  • R. Wong

Detail(s)

Original languageEnglish
Pages (from-to)753-768
Journal / PublicationJournal of Mathematical Physics
Volume26
Issue number4
Publication statusPublished - 1985
Externally publishedYes

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 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 X ℝ3. These results are then applied to derive the large energy asymptotic expansions of the spectral kernel associated with H. © 1985 American Institute of Physics.

Citation Format(s)

Time decay and spectral kernel asymptotics. / Osborn, T. A.; Wong, R.
In: Journal of Mathematical Physics, Vol. 26, No. 4, 1985, p. 753-768.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review