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- W2952441341 abstract "In this paper we suggest a simple mathematical procedure to derive the classical probability density of quantum systems via Bohr's correspondence principle. Using Fourier expansions for the classical and quantum distributions, we assume that the Fourier coefficients coincide for the case of large quantum numbers $n$. We illustrate the procedure by analyzing the classical limit for the quantum harmonic oscillator, although the method is quite general. We find, in an analytical fashion, the classical distribution arising from the quantum one as the zeroth order term in an expansion in powers of Planck's constant. We interpret the correction terms as residual quantum effects at the microscopic-macroscopic boundary." @default.
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- W2952441341 date "2011-01-06" @default.
- W2952441341 modified "2023-09-25" @default.
- W2952441341 title "A simple mathematical formulation of the correspondence principle" @default.
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- W2952441341 doi "https://doi.org/10.48550/arxiv.1101.1242" @default.
- W2952441341 hasPublicationYear "2011" @default.
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