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- W1996755005 abstract "Wave-operator equations associated with the determination of effective Hamiltonians are generally solved by perturbation methods. However, it is well known that for most actual systems the standard Rayleigh-Schrödinger and Brillouin-Wigner series either converge slowly or diverge. One way how to deal with this problem is to modify or to renormalize the standard wave equations. For that purpose, we derive new derivative and convergence superoperators within the two basic Rayleigh-Schrödinger and Brillouin-Wigner formalisms. Since the direct use of these superoperators would imply difficult operator inversions, we investigate the efficiency of various approximations of these superoperators. It is shown that these approximations can overcome convergence difficulties and also open the way to systematic infinite partial summation schemes. A numerical illustration is presented for a model system of N non-interacting hydrogen molecules. Finally, it is shown that the determination of regular two-component relativistic Hamiltonians is also relevant to this approach. © 1996 John Wiley & Sons, Inc." @default.
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- W1996755005 date "1998-12-06" @default.
- W1996755005 modified "2023-10-14" @default.
- W1996755005 title "Convergence studies in the theory of effective Hamiltonians" @default.
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- W1996755005 doi "https://doi.org/10.1002/(sici)1097-461x(1996)58:4<341::aid-qua3>3.0.co;2-y" @default.
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