# A COMPARISON OF APPROACHES FOR SOLUTIONS TO THE COUPLED TWO-DIMENSIONAL ANHARMONIC OSCILLATOR

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 dc.creator Smithson, T. L. en_US dc.creator Wieser, H. en_US dc.creator Paul, R. en_US dc.creator Briss, F. W. en_US dc.date.accessioned 2006-06-15T14:47:18Z dc.date.available 2006-06-15T14:47:18Z dc.date.issued 1983 en_US dc.identifier 1983-MH-13 en_US dc.identifier.uri http://hdl.handle.net/1811/11864 dc.description Author Institution: Department of Chemistry, University of Calgary; Department of Chemistry, University of Alberta Edmonton en_US dc.description.abstract Experience indicates that the bend/twist skeletal deformations of a number of 5- and 6- membered ring compounds should be described in terms of a coupled two-dimensional anharmonic oscillator (1). In the past, two slightly different variational approaches have been used to obtain the required solution, one using as basis the two-dimensional isotropic harmonic oscillator functions (2,4), the other the direct product formed from the one-dimensional anharmonic oscillator functions (3,4). We have explored alternative methods for obtaining the solutions, namely one using the Rayleigh-Schr$\ddot odinger$ perturbation theory with Pad\’{e} approximants, and one SCF- like modification of the variational product basis set approach. The abilities of all the methods for solving the Hamiltonian are compared for a number of molecular systems. Some of the problems associated with the methods are discussed in the context of highly coupled vibrations. (1) L. A. Carreira, R. C. Lord, and T. B. Malloy, JR., in Topics in Current Chemistry"", vol. 82, Springer-Verlag (1979). (2) L. A. Carreira, I. M. Mills, and W. B. Person. J. Chem. Phys. 56, 1444 (1972). (3) T. Ikeda and R. C. Lord, J. Chem. Phys. 56, 4450 (1972). (4) L. E. Bauman, P. M. Killough, J. M. Cooke, J. R. Villarreal, and J. Laane, J. Phys. Chem. 86, 2000 (1982). en_US dc.format.extent 119132 bytes dc.format.mimetype image/jpeg dc.language.iso English en_US dc.publisher Ohio State University en_US dc.title A COMPARISON OF APPROACHES FOR SOLUTIONS TO THE COUPLED TWO-DIMENSIONAL ANHARMONIC OSCILLATOR en_US dc.type article en_US