The closed orbits and the photo-excitation scaled spectrum of the hydrogen atom in crossed fields

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Published 6 June 2002 Published under licence by IOP Publishing Ltd
, , Citation Jianguo Rao and K T Taylor 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2627 DOI 10.1088/0953-4075/35/12/301

0953-4075/35/12/2627

Abstract

In a recent Letter to the Editor (J Rao, D Delande and K T Taylor 2001 J. Phys. B: At. Mol. Opt. Phys. 34 L391-9) we made a brief first report of our quantal and classical calculations for the hydrogen atom in crossed electric and magnetic fields at constant scaled energy and constant scaled electric field strength. A principal point of that communication was our statement that each and every peak in the Fourier transform of the scaled quantum photo-excitation spectrum for scaled energy value epsilon = -0.586 538 871 028 43 and scaled electric value tilde f = 0.068 537 846 207 618 71 could be identified with a scaled action value of a found and mapped-out closed orbit up to a scaled action of 20. In this follow-up paper, besides presenting full details of our quantum and classical methods, we set out the scaled action values of all 317 closed orbits involved, together with the geometries of many.

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10.1088/0953-4075/35/12/301