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Generating function and integral representation of hermite polynomials in physical problems

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Using the generating function for Hermite polynomialsH n two integrals developed in computation of the bond energy of atomic nucleus have been solved. Furthermore the probability distribution of the coordinate of quantum harmonic oscillator has been derived with the aid of suitable integral representation ofH n(x). Presented computations are simpler then usually exploited recurrence equation technique.

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References

  1. Lebeděv N. N., Speciální funkce a jejich užití (Special functions and their applications) SNTL, Prague 1956.

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Authors and Affiliations

  1. Tesla Rožnov, Rožnov pod Radhoštěm, Ul. 1. máje 1351, 756 61, Rožnov pod Radhoštěm, Czechoslovakia

    S. Dvořák

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  1. S. Dvořák
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Dvořák, S. Generating function and integral representation of hermite polynomials in physical problems. Czech J Phys 23, 1281–1285 (1973). https://doi.org/10.1007/BF01586517

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  • DOI: https://doi.org/10.1007/BF01586517

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