1993
DOI: 10.1063/1.464836
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A new implementation of stationary perturbation theory for separable quantum-mechanical problems

Abstract: We improve a recently developed implementation of perturbation theory for separable problems. On choosing a new ansatz for the perturbed wave function that takes into account the singularities of the eigenvalue equation explicitly, the resulting perturbation equations become simpler. As an illustrative example, we consider the Stark shift of the microwave spectra of a polarizable symmetric-top molecule.

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Cited by 6 publications
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“…The acetic acid species (v as O–C–O 1545 cm –1 ) also presents a similar trend. The band at 1016 cm –1 together with the characteristic bands at 2938, 2819, and 1337 cm –1 could be assigned as the bidentate methoxy species (v a CH 3 2938 cm –1 , v s CH 3 2819 cm –1 , δCH 3 1337 cm –1 , vC–O 1016 cm –1 ) . Meanwhile, the band located at 1406 cm –1 is attributed to formate; the intensity decreases simultaneously but does not disappear when the temperature rise from 30 to 260 °C.…”
Section: Resultsmentioning
confidence: 96%
“…The acetic acid species (v as O–C–O 1545 cm –1 ) also presents a similar trend. The band at 1016 cm –1 together with the characteristic bands at 2938, 2819, and 1337 cm –1 could be assigned as the bidentate methoxy species (v a CH 3 2938 cm –1 , v s CH 3 2819 cm –1 , δCH 3 1337 cm –1 , vC–O 1016 cm –1 ) . Meanwhile, the band located at 1406 cm –1 is attributed to formate; the intensity decreases simultaneously but does not disappear when the temperature rise from 30 to 260 °C.…”
Section: Resultsmentioning
confidence: 96%