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- W32554020 abstract "In treating quantum mechanical systems which do not admit of exact solutions for their energy levels and corresponding wave functions one has at one’s disposal, as mentioned in a previous chapter, the variational approach (Chapter 10). This, however, is restricted to the ground and possibly first excited state (if the Hamiltonian commutes with the parity operator). For other states (and even for the ground state if one requires greater accuracy or additional information against which to juxtapose the variational results) one must fall back on the straightforward application of perturbation theory (Chapter 11) which is generally tedious and at best only approximate. This is because, for other than the first-order results, using perturbation theory, one has to evaluate infinite sums in each order (cf. Eqs. (11.14), (11.15)). These sums one generally approximates by selecting only a few of the terms which arise to that order. One does not usually feel very comfortable with this truncation procedure however since one is then uncertain whether or not one has obtained a good enough approximation to the correct energy, or wave function" @default.
- W32554020 created "2016-06-24" @default.
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- W32554020 date "1992-01-01" @default.
- W32554020 modified "2023-09-22" @default.
- W32554020 title "The Dalgarno-Lewis Technique" @default.
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