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

1970 ◽  
Vol 48 (7) ◽  
pp. 819-826 ◽  
Author(s):  
M. Banville ◽  
P. A. Simard
Keyword(s):  
Ideal Space ◽  
Hamiltonian Matrix ◽  
Canonical Transformations ◽  
Matrix Elements ◽  
Quasi Particle ◽  
Invariance Properties ◽  
Particular Solutions ◽  
The Ideal

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.

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

1969 ◽  
Vol 47 (1) ◽  
pp. 103-111 ◽  
Author(s):  
P. A. Simard
Keyword(s):  
Ideal Space ◽  
Canonical Transformations ◽  
Quasi Particle ◽  
The Ideal

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.

SUR L'APPROXIMATION DES BOSONS ET L'ANTISYMÉTRIE

1967 ◽  
Vol 45 (10) ◽  
pp. 3241-3245 ◽  
Author(s):  
P. A. Simard
Keyword(s):  
Ideal Space ◽  
Quasi Particle ◽  
Anharmonic Corrections ◽  
Spherical Nuclei ◽  
Unified Description ◽  
Boson Approximation ◽  
The Ideal

A method is presented in the scheme of the boson approximation such that the antisymmetry between the quasi-particles is introduced naturally. Based on the transcription of the quasi-particle into the ideal space, the method enables one to give a unified description of the anharmonic corrections in the even–even and odd spherical nuclei.

Nuclear structure in a hierarchy of ideal spaces

1981 ◽  
Vol 59 (11) ◽  
pp. 1670-1673
Author(s):  
M. Banville ◽  
P.-A. Simard
Keyword(s):  
Nuclear Structure ◽  
Arbitrary Number ◽  
Ideal Space ◽  
Hamiltonian Matrix ◽  
Matrix Elements ◽  
Fractional Parentage ◽  
The Matrix ◽  
Nuclear Structure Calculations ◽  
The One ◽  
Nuclear Shell

A new method permitting nuclear structure calculations for a system with an arbitrary number of fermions in an arbitrary number of subshells is developed through a generalization of the ideal space concept used in the boson methods. The nuclear shell problem is transcribed into a hierarchy of ideal spaces; the one-to-one correspondence between the states in each ideal space permits the generation of complete bases of antisymmetric states. The Hamiltonian matrix elements for the system are given. A generalization of the fractional parentage coefficients for such systems is obtained. The symmetries of those coefficients lead to a very important reduction in the complexity of the matrix elements.

Construction d'une base antisymétrique dans l'espace idéal

1969 ◽  
Vol 47 (23) ◽  
pp. 2645-2650 ◽  
Author(s):  
P. A. Simard
Keyword(s):  
Particle System ◽  
Exclusion Principle ◽  
Ideal Space ◽  
Particle State ◽  
Quasi Particle ◽  
Linearized Equations ◽  
Set Up ◽  
The One ◽  
Number Of Particles ◽  
The Ideal

An antisymmetric basis has been set up in the ideal space as a combination of one boson and one ideal quasi-particle state; in this way a three quasi-particle system may be studied. The knowledge of solutions of linearized equations for two quasi-particles is a requisite for the setting up of this basis. The exclusion principle is thus introduced correctly. The spurious states coming from the non-conservation of the number of particles are separated out and can be rejected easily. The method can be used only in QTD approximation. The one-shell case is discussed as a verification of the method.

Franciscan Books and their Readers

2022 ◽  
Author(s):  
René Hernández
Keyword(s):  
Space Form ◽  
Northern Italy ◽  
Ideal Space ◽  
Skilled Readers ◽  
Personal Library ◽  
Key Aspects ◽  
Cultural Agency ◽  
First Time ◽  
The Ideal

The book explores the manuscripts written, read, and studied by Franciscan friars from the thirteenth to the fifteenth centuries in Northern Italy, and specifically Padua, assessing four key aspects: ideal, space, form and readership. The ideal is studied through the regulations that determined what manuscripts should aim for. Space refers to the development and role of Franciscan libraries. The form is revealed by the assessment of the physical configuration of a set of representative manuscripts read, written, and manufactured by the friars. Finally, the study of the readership shows how Franciscans were skilled readers who employed certain forms of the manuscript as a portable, personal library, and as a tool for learning and pastoral care. By comparing the book collections of Padua’s reformed and unreformed medieval Franciscan libraries for the first time, this study reveals new features of the ground-breaking cultural agency of medieval friars.

Homeomorphic Analytic Maps into the Maximal Ideal Space of H∞

1999 ◽  
Vol 51 (1) ◽  
pp. 147-163 ◽  
Author(s):  
Daniel Suárez
Keyword(s):  
Maximal Ideal ◽  
Maximal Ideal Space ◽  
Ideal Space ◽  
Gleason Part ◽  
Interpolating Sequences ◽  
Closed Subalgebra ◽  
Analytic Maps ◽  
The Ideal

AbstractLet m be a point of the maximal ideal space of H∞ with nontrivial Gleason part P(m). If Lm : D → P(m) is the Hoffman map, we show that H∞ ° Lm is a closed subalgebra of H∞. We characterize the points m for which Lm is a homeomorphism in terms of interpolating sequences, and we show that in this case H∞ ° Lm coincides with H∞. Also, if Im is the ideal of functions in H∞ that identically vanish on P(m), we estimate the distance of any f ϵ H∞ to Im.

scholarly journals Scaling property of ideal granitic sequences

2007 ◽  
Vol 14 (3) ◽  
pp. 237-246 ◽  
Author(s):  
D. Xu ◽  
Q. Cheng ◽  
F. Agterberg
Keyword(s):  
Lake Area ◽  
Fine Grained ◽  
Multi Scale ◽  
Invariance Properties ◽  
The Past ◽  
Ideal Granite ◽  
Markov Properties ◽  
The Ideal

Abstract. Quantification of granite textures and structures using a mathematical model for characterization of granites has been a long-term attempt of mathematical geologists over the past four decades. It is usually difficult to determine the influence of magma properties on mineral crystallization forming fined-grained granites due to its irregular and fine-grained textures. The ideal granite model was originally developed for modeling mineral sequences from first and second-order Markov properties. This paper proposes a new model for quantifying scale invariance properties of mineral clusters and voids observed within mineral sequences. Sequences of the minerals plagioclase, quartz and orthoclase observed under the microscope for 104 aplite samples collected from the Meech Lake area, Gatineau Park, Québec were used for validation of the model. The results show that the multi-scale approaches proposed in this paper may enable quantification of the nature of the randomness of mineral grain distributions. This, in turn, may be related to original properties of the magma.

Space configurations for empowering university-community interactions

2019 ◽  
Vol 46 (5) ◽  
pp. 689-701 ◽  
Author(s):  
Jens Dorland ◽  
Christian Clausen ◽  
Michael Søgaard Jørgensen
Keyword(s):  
Science And Technology Studies ◽  
Qualitative Data ◽  
Ideal Space ◽  
Community Interactions ◽  
Policy Makers ◽  
Societal Challenges ◽  
Relational Perspective ◽  
Local Contexts ◽  
Shed Light ◽  
The Ideal

Abstract Some see universities as a possible source of solutions to enable a sustainable transition and overcome societal challenges. Findings from three multisite case studies of Desis Labs, FabLabs, and Science Shops shed light on how universities can help empower communities and solve societal challenges locally. Adopting a sociotechnical and flat relational perspective inspired by science and technology studies (STS), we focus on the material and spatial aspects of how these spaces are configured, thereby ensuring practical relevance for policy makers and practitioners. Applying an analytical generalization methodology, we condense the qualitative data into a typology of three ideal space-types (i.e. affording, mediating, and impact-oriented) that represent specific configurations of actors, researchers, students, communities, spaces, infrastructure, equipment, facilitators, etc. The ideal space-types empower communities in different ways, require different resources to create and operate, and translate differently into specific local contexts.

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