Year: 2018
Type: preprint
Abstract: The inversion potential for the ammonia molecule is approximated by a quartic function. The Hamiltonian thereby contains only even powers of p and x and a representation in terms of ladder operators a and a^+ is suggested. The frequency variable omega occurring in the operators is introduced as a free parameter, with its value to be determined such as to optimize agreement with experimental results. Using known structural parameters of the ammonia molecule, the eigenvalues for a 10 by 10 truncation of the Hamiltonian matrix are computed. The splitting between the two lowest eigenvalues corresponds to the ammonia maser frequency, 24.87 GHz, this value being reproduced by the appropriate choice of omega.
Source: arXiv (Cornell University)
Author: Blinder, S M
Institutions: University of Michigan, Wolfram Research (United States)
Language: English
Subfield: Spectroscopy
Field: Chemistry
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2891253466