Tables of identical-particle fractional parentage coefficients

B. F. Bayman; Alexander Lande

doi:10.1016/0029-5582(66)90677-8

Tables of identical-particle fractional parentage coefficients

B. F. Bayman, Alexander Lande

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

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Abstract

The one-particle fractional parentage coefficients for totally antisymmetric states of n identical fermions have been calculated by diagonalizing the Casimir operators of the unitary and symplectic groups. They are tabulated for n up to the half-filled shell for j ≦ 11 2, and n ≦ 5 for j = 13 2 and 15 2 respectively. The coefficients for totally symmetric states of identical bosons, dⁿ (n ≦ 7), fⁿ(n ≦ 6) and gⁿ(n ≦ 5) were determined in a similar manner.

Original language	English (US)
Pages (from-to)	1-80
Number of pages	80
Journal	Nuclear Physics
Volume	77
Issue number	1
DOIs	https://doi.org/10.1016/0029-5582(66)90677-8
State	Published - Mar 1966

Bibliographical note

Funding Information:
t This work was supported by the U.S. Atomic Energy Commission and the Higgins Scientific Trust Fund. This report made use of the Princeton computer facilities supported in part by National Science Foundation Grant NSF-GP579.

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title = "Tables of identical-particle fractional parentage coefficients",

abstract = "The one-particle fractional parentage coefficients for totally antisymmetric states of n identical fermions have been calculated by diagonalizing the Casimir operators of the unitary and symplectic groups. They are tabulated for n up to the half-filled shell for j ≦ 11 2, and n ≦ 5 for j = 13 2 and 15 2 respectively. The coefficients for totally symmetric states of identical bosons, dn (n ≦ 7), fn(n ≦ 6) and gn(n ≦ 5) were determined in a similar manner.",

author = "Bayman, {B. F.} and Alexander Lande",

note = "Funding Information: t This work was supported by the U.S. Atomic Energy Commission and the Higgins Scientific Trust Fund. This report made use of the Princeton computer facilities supported in part by National Science Foundation Grant NSF-GP579.",

year = "1966",

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doi = "10.1016/0029-5582(66)90677-8",

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AU - Bayman, B. F.

AU - Lande, Alexander

N1 - Funding Information: t This work was supported by the U.S. Atomic Energy Commission and the Higgins Scientific Trust Fund. This report made use of the Princeton computer facilities supported in part by National Science Foundation Grant NSF-GP579.

PY - 1966/3

Y1 - 1966/3

N2 - The one-particle fractional parentage coefficients for totally antisymmetric states of n identical fermions have been calculated by diagonalizing the Casimir operators of the unitary and symplectic groups. They are tabulated for n up to the half-filled shell for j ≦ 11 2, and n ≦ 5 for j = 13 2 and 15 2 respectively. The coefficients for totally symmetric states of identical bosons, dn (n ≦ 7), fn(n ≦ 6) and gn(n ≦ 5) were determined in a similar manner.

AB - The one-particle fractional parentage coefficients for totally antisymmetric states of n identical fermions have been calculated by diagonalizing the Casimir operators of the unitary and symplectic groups. They are tabulated for n up to the half-filled shell for j ≦ 11 2, and n ≦ 5 for j = 13 2 and 15 2 respectively. The coefficients for totally symmetric states of identical bosons, dn (n ≦ 7), fn(n ≦ 6) and gn(n ≦ 5) were determined in a similar manner.

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JO - Nuclear Physics

JF - Nuclear Physics

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ER -

Tables of identical-particle fractional parentage coefficients

Abstract

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