Position moments linearly averaged over the wave function | Zendy

Toshikatsu Koga | Zendy

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Position moments linearly averaged over the wave function

Author(s) -

Toshikatsu Koga

Publication year - 1988

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.455527

Subject(s) - position (finance) , mathematics , function (biology) , integer (computer science) , wave function , mathematical analysis , zero (linguistics) , energy (signal processing) , momentum (technical analysis) , set (abstract data type) , physics , quantum mechanics , statistics , computer science , linguistics , philosophy , finance , evolutionary biology , economics , biology , programming language

It is shown that there exists a set of relations between position moments r^k (with k being a nonnegative integer) linearly averaged over the wave function. The true wave function must satisfy all of these relations, and therefore they can be used as criteria to assess the accuracy of approximate wave functions. The zero momentum energy formula proposed previously is the simplest case of the present results

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