\(N\)-dimensional harmonic oscillator yields monotonic series for the mathematical constant \(\pi\) (Q915352)
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scientific article; zbMATH DE number 4151707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(N\)-dimensional harmonic oscillator yields monotonic series for the mathematical constant \(\pi\) |
scientific article; zbMATH DE number 4151707 |
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\(N\)-dimensional harmonic oscillator yields monotonic series for the mathematical constant \(\pi\) (English)
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1990
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By using quantum mechanical ideas of matrix elements, coupled to a harmonic oscillator in \(N\) dimensions, new expansions for \(\pi\) and 1/\(\pi\) are derived. The paper generalizes the approach in three dimensions given earlier by the second author [J. Approx. Theory 60, No. 1, 1--10 (1990; Zbl 0707.40003)].
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series for pi
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harmonic oscillator
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