Simple Iterative Procedures for Quantum‐Mechanical Bound States | Zendy

Burrows Brian L. | Zendy; Cohen Maurice | Zendy; Feldman Tova | Zendy

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Simple Iterative Procedures for Quantum‐Mechanical Bound States

Author(s) -

Burrows Brian L.,

Cohen Maurice,

Feldman Tova

Publication year - 1991

Publication title -

israel journal of chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.908

H-Index - 54

eISSN - 1869-5868

pISSN - 0021-2148

DOI - 10.1002/ijch.199100042

Subject(s) - anharmonicity , chemistry , simple (philosophy) , quantum , bound state , sequence (biology) , convergence (economics) , atom (system on chip) , upper and lower bounds , quantum mechanics , mathematics , statistical physics , mathematical analysis , physics , philosophy , biochemistry , epistemology , computer science , economics , embedded system , economic growth

Iterative methods are developed to obtain approximate solutions for bound states of quantum‐mechanical systems. A sequence of 2 × 2 secular equations is solved, to yield a specified eigensolution to the N × N secular equation. Our simplest procedure ensures convergence only for certain states, but a generalisation appears to converge for any state. Some sample calculations are presented, both for model (anharmonic oscillator) systems and for a two‐electron atom.

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