Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Canadian Journal of Physics

Antisymmetric Bosons in Nuclear Structure

M. Banville, P. A. Simard

Published Jan 1, 1973• 1 citation
Publisher

Abstract

The concept of an ideal space of bosons and ideal particles is applied directly to systems of ordinary particles with a transcription of the particle into that ideal space that preserves both the Pauli principle and the transformation properties of the one- and two-body operators. We treat systems up to four particles.
DOI
10.1139/p73-006

Related papers

BOSON-FERMION HYBRID REPRESENTATION OF THE ANTISYMMETRIZER AND AN EFFECTIVE HAMILTONIAN IN HYBRID SPACE

王如琳, 潘辑智, Bao Cheng-guang +3 more

•Jan 1, 1986•0 citations

Etude de la transcription de la quasi-particule dans l'espace idéal

M. Banville, P. A. Simard

The transcription of the quasi-particle in the ideal space has been studied in such a way that all terms in the Hamiltonian in the QTD approximation for the system of four quasi-particles can be found. It is found that an infinity of solutions exists which verify the commutator {α, α+} while yielding correct Hamiltonian matrix elements. Finally, particular solutions which do not verify this commutator are found. Their particular invariance properties under canonical transformations make them relatively easy to obtain. Nonphysical states are eliminated by these transcriptions and all the physical states appear properly antisymmetrized.

Canadian Journal of Physics•Apr 1, 1970•4 citations

Ideal Bosons and Fermions

A. Isihara

Elsevier eBooks•Jan 1, 1971•2 citations

Interplay of Pairing and Intrinsic Modes of Excitation in Nuclei. I: Transcription of Nucleon System into Ideal Boson-Quasi-Particle Space

T. Suzuki, K. Matsuyanagi

A new method treating the interplay of pairing and intrinsic modes of excitation is proposed. In this method, the pairing mode associated with the J = 0-coupled nucleon pairs is represented by pairing bosons and the intrinsic mode characterized by the seniority quantum number is explicitly treated by ideal quasi-particle operators. We obtain a closed expression of the single-nucleon operator in terms of pairing bosons and ideal quasi-particles. As a simple illustration, the superconducting system is treated by introducing the coherent state of pairing bosons and the relation to the Bogoliubov transformation is discussed. The relation between this method and the canonical transformation method with auxiliary variables is also clarified.

Progress of Theoretical Physics•Oct 1, 1976•46 citations

Effects of the Pauli principle for nucleons in a classical phase space

Björn Boll, Peter Krämer

Physica A Statistical Mechanics and its Applications•Aug 1, 1982•2 citations

Transcription de la quasi-particule dans l'espace ideal et la méthode des bosons

P. A. Simard

A transcription of the quasi-particle into the ideal space is written in such a way that all the terms which contribute for the three quasi-particles system in QTD approximation can be found. Canonical transformations between the ideal quasi-particles are studied. An application to one shell is done with the result that the boson method gives exactly the same spectra as the Kuo method.

Canadian Journal of Physics•Jan 1, 1969•6 citations
The transcription of the quasi-particle in the ideal space has been studied in such a way that all terms in the Hamiltonian in the QTD approximation for the system of four quasi-particles can be found. It is found that an infinity of solutions exists which verify the commutator {α, α+} while yielding correct Hamiltonian matrix elements. Finally, particular solutions which do not verify this commutator are found. Their particular invariance properties under canonical transformations make them relatively easy to obtain. Nonphysical states are eliminated by these transcriptions and all the physical states appear properly antisymmetrized.
A new method treating the interplay of pairing and intrinsic modes of excitation is proposed. In this method, the pairing mode associated with the J = 0-coupled nucleon pairs is represented by pairing bosons and the intrinsic mode characterized by the seniority quantum number is explicitly treated by ideal quasi-particle operators. We obtain a closed expression of the single-nucleon operator in terms of pairing bosons and ideal quasi-particles. As a simple illustration, the superconducting system is treated by introducing the coherent state of pairing bosons and the relation to the Bogoliubov transformation is discussed. The relation between this method and the canonical transformation method with auxiliary variables is also clarified.