Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms

Koch V, Andrae D (2005)
THEORETICAL CHEMISTRY ACCOUNTS 114(4-5): 380-386.

Journal Article | Published | English

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The static dipole polarizability alpha(d, i) for an arbitrary bound state i of the non- relativistic hydrogen- like atom has been known for a long time from, e. g., the second- order perturbation theory treatment of the Stark effect. A reliable result for the ground state requires both summation over the discrete spectrum and inclusion of the continuum contribution. This continuum contribution is known to decrease for excited states, but a systematic study of this decrease has not been available so far. We present here representative results from a systematic study of alpha(d, i), whichwas performed as a first test of a new algorithm for the radial integrals involved. Partial sum approximations of the discrete contribution yield the total ad, i with a relative error of less than 1% for all states i with principal quantum number n >= 5. Corresponding results for the relativistic case, for which the radial integral algorithm was developed, will be presented elsewhere.
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Koch V, Andrae D. Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. THEORETICAL CHEMISTRY ACCOUNTS. 2005;114(4-5):380-386.
Koch, V., & Andrae, D. (2005). Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. THEORETICAL CHEMISTRY ACCOUNTS, 114(4-5), 380-386.
Koch, V., and Andrae, D. (2005). Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. THEORETICAL CHEMISTRY ACCOUNTS 114, 380-386.
Koch, V., & Andrae, D., 2005. Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. THEORETICAL CHEMISTRY ACCOUNTS, 114(4-5), p 380-386.
V. Koch and D. Andrae, “Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms”, THEORETICAL CHEMISTRY ACCOUNTS, vol. 114, 2005, pp. 380-386.
Koch, V., Andrae, D.: Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. THEORETICAL CHEMISTRY ACCOUNTS. 114, 380-386 (2005).
Koch, V, and Andrae, Dirk. “Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms”. THEORETICAL CHEMISTRY ACCOUNTS 114.4-5 (2005): 380-386.
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