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pro vyhledávání: '"Bréhamet, Lionel"'
Autor:
Bréhamet, Lionel
We adapt the Gurau's proof (2008) about the asymptotic limit of Ponzano-Regge formula to supersymmetric 6jS symbols according to their intrinsic parities alpha, beta, gamma. The behaviour at a large scaling shows significant differences depending on
Externí odkaz:
http://arxiv.org/abs/1512.06541
Autor:
Bréhamet, Lionel
For each generic $(3\mbox{-}j)$ the column parities, $2(j \pm m)$, define $3$ intrinsic parities: $\alpha, \beta,\gamma$. In algebra $so(3)$ only $(3\mbox{-}j)\_{\alpha}$ exists whereas super-algebra $osp(1|2)$ admits $3$ kinds of super-symbols $(3\m
Externí odkaz:
http://arxiv.org/abs/1506.03312
Autor:
Bréhamet, Lionel
Publikováno v:
Pioneer Journal of Mathematical Physics and its Applications, 2014, 6 (1), pp.1-20
It shown that the five Regge transformations act as a spectrometric splitter on any 6-j symbol. Four unknown partitions are brought out: S4(0), S4(1), S(2) and S4(5). They are stable subsets, with well defined parameters depending only on triangles a
Externí odkaz:
http://arxiv.org/abs/1505.05408
Autor:
Bréhamet, Lionel
Egyptian decompositions of 2/D as a sum of two unit fractions are studied by means of certain divisors of D, namely r and s. Our analysis does not concern the method to find r and s, but just why the scribes have chosen a solution instead of another.
Externí odkaz:
http://arxiv.org/abs/1404.0341
Autor:
Bréhamet, Lionel
For h=3 or 4, Egyptian decompositions into h unit fractions, like 2/D = 1/D1 + ... +1/Dh, were given by using (h-1) divisors (di) of D1. This ancient modus operandi, well recognized today, provides Di=DD1/di for i greater than 1. Decompositions selec
Externí odkaz:
http://arxiv.org/abs/1403.5739
Autor:
Bréhamet, Lionel
Efficiency of intrinsic operator techniques (using only products and ranks of tensor operators) is first evidenced by condensed proofs of already known $\bigtriangledown$-triangle sum rules of su(2)/su$_q$(2). {\em A new compact} su$_q$(2)-{\em expre
Externí odkaz:
http://arxiv.org/abs/0811.2175
Autor:
Bréhamet, Lionel
From the supersymmetric version of Biedenharn-Elliott identity, two 3-term recurrence relations satisfied by the Racah coefficients are derived. Each super Racah coefficient 6j S with parities (alpha, beta or gamma) can generally be written as linear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::40bd739d116331b0046ad44e27d360cf
https://hal.archives-ouvertes.fr/hal-03232877
https://hal.archives-ouvertes.fr/hal-03232877
Autor:
Bréhamet, Lionel
12 pages; We show that Regge transformations induce five partitions on (3-j) symbols of su(2) , namely Sp(0), Sp(1), Sp(2), Sp(4), Sp(5), with an empty set Sp(3) = ∅. The super-algebra osp(1|2) admits three kinds of super-symbols (3-j) Salpha, (3-j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3515::950e5a4d0c88fe6f0ec064dcdcad2f49
https://hal.science/hal-01162475/document
https://hal.science/hal-01162475/document
Autor:
Bréhamet, Lionel
Publikováno v:
Journal of Mathematical Physics; Aug1983, Vol. 24 Issue 8, p1968-1972, 5p
