About Approximation of Convergence Superoperators in Quantum Perturbation Theory |
D. Bielińska-Wąża, I. Paidarovab and Ph. Durandc aInstytut Fizyki, Uniwersytet Mikolaja Kopernika, Grudziądzka 5, 87-100 Toruń, Poland bJ. Heyrovský Institute, Academy of Sciences of the Czech Republic, Dolejškova 3, 182 23 Prague 8, Czech Republic cLaboratoire de Physique Quantique, Unité Associée au CNRS no. 505, Université Paul Sabatier, 31062 Toulouse Cedex 4, France |
Received: August 2, 1996; revised version: February 6, 1997 |
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Perturbation methods are generally used for solving wave operator equations associated with the determination of effective Hamiltonians. In many cases the standard Rayleigh-Schrodinger and Brillouin-Wigner series either converge slowly or diverge. Therefore it is necessary to modify or to renormalize the standard wave equations. For that purpose derivative and convergence superoperators within the Ralyeigh-Schrodinger and Brillouin-Wigner formalisms were introduced. A new efficient otential is obtained and further application to molecular dynamics is indicated. |
DOI: 10.12693/APhysPolA.91.1061 PACS numbers: 63.10.+a, 71.10.-w |