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Title: Projection of angular momentum via linear algebra

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 6; Related Information: CHORUS Timestamp: 2017-12-01 10:07:40; Journal ID: ISSN 2469-9985
American Physical Society
Country of Publication:
United States

Citation Formats

Johnson, Calvin W., and O'Mara, Kevin D. Projection of angular momentum via linear algebra. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.064304.
Johnson, Calvin W., & O'Mara, Kevin D. Projection of angular momentum via linear algebra. United States. doi:10.1103/PhysRevC.96.064304.
Johnson, Calvin W., and O'Mara, Kevin D. 2017. "Projection of angular momentum via linear algebra". United States. doi:10.1103/PhysRevC.96.064304.
title = {Projection of angular momentum via linear algebra},
author = {Johnson, Calvin W. and O'Mara, Kevin D.},
abstractNote = {},
doi = {10.1103/PhysRevC.96.064304},
journal = {Physical Review C},
number = 6,
volume = 96,
place = {United States},
year = 2017,
month =

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on December 1, 2018
Publisher's Accepted Manuscript

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  • Recently, the restricted angular momentum variation after projection method, using the quadrupole degree of freedom as a variational coordinate in conjunction with effective interactions of the Skyrme or Gogny type, has been used very successfully to study a variety of phenomena concerning the quadrupole degree of freedom. In this paper, we study the quality of such an approach by considering additional degrees of freedom as variational coordinates: the hexadecapole moment and the fluctuations on the quadrupole moment, particle number, and angular momentum operators. The study has been performed with the Gogny interaction (D1S parametrization) for the nuclei {sup 32}Mg andmore » {sup 34}Mg. The results of the angular momentum projection and the subsequent generator coordinate calculations show that the extra degrees of freedom considered are irrelevant for the description of the lowest lying states for each angular momentum.« less
  • In this paper we study the Wigner operators of angular momentum in the phase space, which are obtained from the well-known operators of angular momentum by virtue of Wigner representation. In the sequel we construct the Lie algebra of these operators, as well as the corresponding Lie group, and we examine two representations of this group. We find also the eigenfunction and the eigenvalues of these operators.
  • The Virasoro generators are realized in 2+1 dimensions as moments of T/sub 0//sub t//sub h//sub e//sub t//sub a/. L/sub 0/ is the angular momentum of the theory. Some simple examples of angular momentum fractionalization are explored.