High-order non-born-oppenheimer electric polarizabilities for excited states of H+2 via the perturbational-variational rayleigh-ritz formalism

✍ Scribed by Jeremiah N. Silverman; David M. Bishop

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 649 KB
• Volume: 132
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(86)80690-x

✦ Synopsis

Large-order perturbation theory in the form of the perturbational-variational Rayleigh-Ritz (PV RR) formalism has been applied to excited energy levels in the Stark effect for H?+, yielding non-Born-Oppenheimer electric polarizabilities through 16th, 8th, 4th, and 2nd order, respectively, for the first four excited non-rotational states; these non-Born-Oppenheimer excited states correspond to what are normally known as vibrationally excited levels of the electronic ground state. The excited-state polarizabflity series are found to be more divergent in each corresponding order than the groundstate one, becoming increasingly so for the higher excited states. Methods for obtaining the excited-state polarizabilities to still higher order within the framework of PV RR are discussed.