Multipole matrix elements

S. Yu Slavyanov

Research output


Considers an eigenfunction and an eigenvalue of a spectral problem on the whole axis for a 1D Schrodinger equation. Our goal would be to obtain recursive relations for matrix elements with a different number k and fixed n and m. Calculations are given using auxiliary differential equations and an integral transform. For an anharmonic oscillator, the basic equation is a specialization of the triconfluent Heun equation.

Original languageEnglish
Title of host publicationInternational Seminar
Subtitle of host publicationDay on Diffraction - Proceedings
EditorsV.E. Grikuro, V.M. Babic, I.V. Androno, V.S. Buldyrev, A.P. Kiselev
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages7
ISBN (Electronic)5799701569, 9785799701567
Publication statusPublished - 1 Jan 1999
EventInternational Seminar: Day on Diffraction, IS-DoD 1999 - St. Petersburg
Duration: 1 Jun 19993 Jun 1999

Publication series

NameInternational Seminar: Day on Diffraction - Proceedings


ConferenceInternational Seminar: Day on Diffraction, IS-DoD 1999
CountryRussian Federation
CitySt. Petersburg

Scopus subject areas

  • Radiation
  • Acoustics and Ultrasonics
  • Atomic and Molecular Physics, and Optics

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