Multipole matrix elements

S. Yu Slavyanov

doi:10.1109/DD.1999.816200

Multipole matrix elements

S. Yu Slavyanov

Кафедра вычислительной физики

Research output

Abstract

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 language	English
Title of host publication	International Seminar
Subtitle of host publication	Day on Diffraction - Proceedings
Editors	V.E. Grikuro, V.M. Babic, I.V. Androno, V.S. Buldyrev, A.P. Kiselev
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	189-195
Number of pages	7
ISBN (Electronic)	5799701569, 9785799701567
DOIs	https://doi.org/10.1109/DD.1999.816200
Publication status	Published - 1 Jan 1999
Event	International Seminar: Day on Diffraction, IS-DoD 1999 - St. Petersburg Duration: 1 Jun 1999 → 3 Jun 1999

Publication series

Name	International Seminar: Day on Diffraction - Proceedings

Conference

Conference	International Seminar: Day on Diffraction, IS-DoD 1999
Country	Russian Federation
City	St. Petersburg
Period	1/06/99 → 3/06/99

Scopus subject areas

Radiation
Acoustics and Ultrasonics
Atomic and Molecular Physics, and Optics

Access to Document

10.1109/DD.1999.816200

http://www.scopus.com/inward/record.url?scp=85041467530&partnerID=8YFLogxK

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Slavyanov, S. Y. (1999). Multipole matrix elements. In V. E. Grikuro, V. M. Babic, I. V. Androno, V. S. Buldyrev, & A. P. Kiselev (Eds.), International Seminar: Day on Diffraction - Proceedings (pp. 189-195). [816200] (International Seminar: Day on Diffraction - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.1999.816200

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Slavyanov, SY 1999, Multipole matrix elements. in VE Grikuro, VM Babic, IV Androno, VS Buldyrev & AP Kiselev (eds), International Seminar: Day on Diffraction - Proceedings., 816200, International Seminar: Day on Diffraction - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 189-195, International Seminar: Day on Diffraction, IS-DoD 1999, St. Petersburg, 1/06/99. https://doi.org/10.1109/DD.1999.816200

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N2 - 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.

AB - 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.

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