Nonsymmetric Perturbation Calculations of Excited States of Helium

Merle E. Riley, Jerome M. Schulman, and Jeremy I. Musher
Phys. Rev. A 5, 2255 – Published 1 May 1972
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Abstract

Perturbation-theoretic calculations are carried out for the lowest five states of the helium atom using a Hamiltonian which is not symmetric in the particle indices such that the zerothorder spatial functions can be written as simple products of hydrogenic orbitals. The perturbation expansions are reasonably convergent except for the fifth state which is divergent as expected. By 19th order in the expansion the energies of the first two excited states are accurate to 2 × 104 and the expectation values of 12(1±P) are accurate to 1 × 104.

  • Received 11 January 1972

DOI:https://doi.org/10.1103/PhysRevA.5.2255

©1972 American Physical Society

Authors & Affiliations

Merle E. Riley

  • Sandia Laboratories, Albuquerque, New Mexico 87115

Jerome M. Schulman*

  • Department of Chemistry, Queens College, City University of New York, Queens, New York 11367

Jeremy I. Musher

  • Belfer Graduate School of Science, Yeshiva University, New York, New York 10033

  • *Alfred P. Sloan Fellow.

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Vol. 5, Iss. 5 — May 1972

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