Solution by Recursion of the N -Body Electrostatic Schrödinger Equation | Zendy

Dwayne L. Knirk | Zendy

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Solution by Recursion of the N -Body Electrostatic Schrödinger Equation

Author(s) -

Dwayne L. Knirk

Publication year - 1974

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.71.4.1291

Subject(s) - eigenvalues and eigenvectors , recursion (computer science) , wave function , schrödinger equation , algebraic number , algebraic solution , mathematics , mathematical physics , physics , atom (system on chip) , mathematical analysis , quantum mechanics , differential equation , computer science , differential algebraic equation , ordinary differential equation , algorithm , embedded system

A generalized partial wave expansion of atomic wavefunctions has been shown to allow exact solution of the many-electron Schrödinger equation. This solution is constructed here by an algebraic recursion method, and several analytical properties of such wave-functions are easily obtained. Eigenstates of the atom correspond to such solutions which satisfy certain boundary conditions for infinite extension of the system. A method of locating these states is presented.

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