On the convergence of quantum resonant-state expansion

J. M. Brown, P. Jakobsen, A. Bahl, Jerome V Moloney, Miroslav Kolesik

Research output: Contribution to journalArticle

9 Scopus citations


Completeness of the system of Stark resonant states is investigated for a one-dimensional quantum particle with the Dirac-delta potential exposed to an external homogeneous field. It is shown that the resonant series representation of a given wavefunction converges on the negative real axis while the series diverges on the positive axis. Despite the divergent nature of the resonant expansion, good approximations can be obtained in a compact spatial domain.

Original languageEnglish (US)
Article number032105
JournalJournal of Mathematical Physics
Issue number3
StatePublished - Mar 1 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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