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Discrete variable representation for highly excited states of hydrogen atoms in magnetic fields

Journal Article · · Physical Review A
; ; ;  [1];  [2]
  1. Laboratoire de Dynamique des Ions, Atomes et Molecules (URA 774 du CNRS), Universite Pierre et Marie Curie, 4 Place Jussieu T12-B75, 75252 Paris Cedex 05 (France)
  2. Institute of Physics, P.O. Box 57, 11001 Belgrade (Yugoslavia)

A discrete variable representation (DVR) appropriate for describing the highly excited states of hydrogen atoms in laboratory-strength magnetic fields is constructed by using a symmetry-adapted direct product of one-dimensional DVR{close_quote}s in parabolic coordinates related to generalized Gauss-Laguerre quadratures. The resulting sparse Hamiltonian matrix is used in an iterative (filter-diagonalization) procedure to obtain eigenvalues and eigenvectors in a given spectral domain. The method is applied to calculate eigenvalues and lifetimes of {open_quotes}circular{close_quotes} Rydberg states, as well as oscillator strengths for the excitation of highly excited states. {copyright} {ital 1997} {ital The American Physical Society}

OSTI ID:
538497
Journal Information:
Physical Review A, Journal Name: Physical Review A Journal Issue: 3 Vol. 56; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English

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