Download Hyperspherical Harmonics and Generalized Sturmians by John S. Avery PDF

By John S. Avery

This publication explores the connections among the speculation of hyperspherical harmonics, momentum-space quantum conception, and generalized Sturmian foundation capabilities; and it introduces tools that may be used to resolve many-particle difficulties without delay, with no using the self-consistent-field approximation. the strategy of many-electron Sturmians deals an engaging and clean replacement to the standard SCF-CI equipment for calculating atomic and molecular constitution. whilst many-electron Sturmians are used, and while the foundation strength is selected to be the horny strength of the nuclei within the approach, the next merits are provided: the matrix illustration of the nuclear charm capability is diagonal; the kinetic strength time period vanishes from the secular equation; the Slater exponents of the atomic orbitals are immediately optimized; convergence is quick; a correlated method to the many-electron challenge should be bought without delay, with out using the SCF approximation; and excited states will be received with solid accuracy. viewers: The ebook may be of curiosity to complex scholars and examine employees in theoretical chemistry, physics and arithmetic.

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