article
Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms
published
yes
V
Koch
author
Dirk
Andrae
author 20327
17982
department
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.
SPRINGER2005
eng
static dipole polarizability fornon-relativistic hydrogen-like atomexcited bound statesgeneralized Laguerre polynomialsconfluenthypergeometric functionsAppell function F2
THEORETICAL CHEMISTRY ACCOUNTS
1432-881X
1432-2234
00023250050001610.1007/s00214-005-0691-7
1144-5380-386
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).
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Koch, V, and Andrae, Dirk. 2005. “Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms”. <em>THEORETICAL CHEMISTRY ACCOUNTS</em> 114 (4-5): 380-386.</div>
V. Koch and D. Andrae, “Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms”, <em>THEORETICAL CHEMISTRY ACCOUNTS</em>, vol. 114, 2005, pp. 380-386.
Koch V, Andrae D (2005) <br />Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms.<br />THEORETICAL CHEMISTRY ACCOUNTS 114(4-5): 380-386.
Koch, V, and Andrae, Dirk. “Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms”. <em>THEORETICAL CHEMISTRY ACCOUNTS</em> 114.4-5 (2005): 380-386.
Koch, V., and Andrae, D. (2005). Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. <em>THEORETICAL CHEMISTRY ACCOUNTS</em> 114, 380-386.
Koch V, Andrae D (2005) <br /><em>THEORETICAL CHEMISTRY ACCOUNTS</em> 114(4-5): 380-386.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Koch, V., & Andrae, D. (2005). Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. <em>THEORETICAL CHEMISTRY ACCOUNTS</em>, <em>114</em>(4-5), 380-386. doi:10.1007/s00214-005-0691-7</div>
Koch, V., & Andrae, D., 2005. Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. <em>THEORETICAL CHEMISTRY ACCOUNTS</em>, 114(4-5), p 380-386.
Koch V, Andrae D. Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. <em>THEORETICAL CHEMISTRY ACCOUNTS</em>. 2005;114(4-5):380-386.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Koch, V. & Andrae, D. (2005). Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. <em>THEORETICAL CHEMISTRY ACCOUNTS</em>, <em>114</em>(4-5), 380-386. SPRINGER. doi:10.1007/s00214-005-0691-7.</div>
Koch, V.; Andrae, D. (2005): Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms <em>THEORETICAL CHEMISTRY ACCOUNTS</em>,114:(4-5): 380-386.
V. Koch, and D. Andrae, “Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms”, <em>THEORETICAL CHEMISTRY ACCOUNTS</em>, <strong>2005</strong>, <em>114</em>, 380-386.
Koch, V., & Andrae, D. (2005). Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. <em>THEORETICAL CHEMISTRY ACCOUNTS</em>, <em>114</em>(4-5), 380-386. doi:10.1007/s00214-005-0691-7
V. Koch and D. Andrae, Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms, THEORETICAL CHEMISTRY ACCOUNTS <strong>114</strong>, 380 (2005).
16019182010-04-28T12:32:02Z2018-07-24T12:58:48Z