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

8 Citations (Scopus)

Abstract

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
Volume57
Issue number3
DOIs
StatePublished - Mar 1 2016

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expansion
completeness
Series Representation
Diverge
Paul Adrien Maurice Dirac
Completeness
approximation
Converge
Series
Approximation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On the convergence of quantum resonant-state expansion. / Brown, J. M.; Jakobsen, P.; Bahl, A.; Moloney, Jerome V; Kolesik, Miroslav.

In: Journal of Mathematical Physics, Vol. 57, No. 3, 032105, 01.03.2016.

Research output: Contribution to journalArticle

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