SL(2, C) Representations in explicitly "energy-dependent" Basis. II

K. Szegö, K. Tóth

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A systematic treatment is presented for the transformation matrix elements between different type of basis sets in the SL(2, C) representation space and for the boost matrix elements. The treatment is based on the theory of invariant bilinear functionals and makes use of the knowledge of explicit basis functions. New expressions are given for the SU(2) ↔ E(2) and SU(1, 1) ↔ E(2) overlap functions, and it is shown that they can be considered as a Fourier transform of a function, which is also known. Some relations are proved between boost functions and transformation matrix elements. In the Appendix a new and relatively simple expression is derived for the boost matrix elements djmj′ j0σ(ξ) in SU(2) basis.

Original languageEnglish
Pages (from-to)853-860
Number of pages8
JournalJournal of Mathematical Physics
Volume12
Issue number5
Publication statusPublished - 1971

Fingerprint

Transformation Matrix
acceleration (physics)
Dependent
Energy
Basis Functions
energy
Overlap
Fourier transform
matrices
functionals
Fourier transforms
Invariant
Knowledge

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

SL(2, C) Representations in explicitly "energy-dependent" Basis. II. / Szegö, K.; Tóth, K.

In: Journal of Mathematical Physics, Vol. 12, No. 5, 1971, p. 853-860.

Research output: Contribution to journalArticle

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