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- W1631337301 abstract "Generalized Sturmian basis sets make it possible to solve the many-particle Schrödinger equation directly, without the use of the SCF approximation. The functions in such a basis set are solutions to the many-particle Schrödinger equation with a weighted “basis potential”, βvV0(x), the weighting factor βv being chosen in such a way as to make all the functions in the set correspond to the same energy. For a many-electron system, it is shown that when V0(x) is chosen to be the nuclear attraction potential, rapidly convergent solutions can be obtained directly from a secular equation from which the kinetic energy term has vanished. The close relationship between generalized Sturmian basis functions and hyperspherical harmonics is discussed, as well as the relationship between all the matrix elements of the theory, such as the Shibuya-Wulfman integrals, the generalized Wigner coefficients of angular momentum theory, and the Hahn polynomials of modern numerical analysis." @default.
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- W1631337301 date "2001-01-01" @default.
- W1631337301 modified "2023-09-23" @default.
- W1631337301 title "Sturmian expansions for quantum mechanical many-body problems, and hyperspherical harmonics" @default.
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- W1631337301 doi "https://doi.org/10.1016/s0065-3276(05)39006-x" @default.
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