Interacting Boson Model from Energy Density Functionals

Interacting Boson Model from Energy Density Functionals PDF Author: Kosuke Nomura
Publisher: Springer Science & Business Media
ISBN: 4431542345
Category : Technology & Engineering
Languages : en
Pages : 195

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Book Description
This thesis describes a novel and robust way of deriving a Hamiltonian of the interacting boson model based on microscopic nuclear energy density functional theory. Based on the fact that the multi-nucleon induced surface deformation of finite nucleus can be simulated by effective boson degrees of freedom, observables in the intrinsic frame, obtained from self-consistent mean-field method with a microscopic energy density functional, are mapped onto the boson analog. Thereby, the excitation spectra and the transition rates for the relevant collective states having good symmetry quantum numbers are calculated by the subsequent diagonalization of the mapped boson Hamiltonian. Because the density functional approach gives an accurate global description of nuclear bulk properties, the interacting boson model is derived for various situations of nuclear shape phenomena, including those of the exotic nuclei investigated at rare-isotope beam facilities around the world. This work provides, for the first time, crucial pieces of information about how the interacting boson model is justified and derived from nucleon degrees of freedom in a comprehensive manner.

Interacting Boson Model from Energy Density Functionals

Interacting Boson Model from Energy Density Functionals PDF Author: Kosuke Nomura
Publisher: Springer Science & Business Media
ISBN: 4431542345
Category : Technology & Engineering
Languages : en
Pages : 195

Get Book Here

Book Description
This thesis describes a novel and robust way of deriving a Hamiltonian of the interacting boson model based on microscopic nuclear energy density functional theory. Based on the fact that the multi-nucleon induced surface deformation of finite nucleus can be simulated by effective boson degrees of freedom, observables in the intrinsic frame, obtained from self-consistent mean-field method with a microscopic energy density functional, are mapped onto the boson analog. Thereby, the excitation spectra and the transition rates for the relevant collective states having good symmetry quantum numbers are calculated by the subsequent diagonalization of the mapped boson Hamiltonian. Because the density functional approach gives an accurate global description of nuclear bulk properties, the interacting boson model is derived for various situations of nuclear shape phenomena, including those of the exotic nuclei investigated at rare-isotope beam facilities around the world. This work provides, for the first time, crucial pieces of information about how the interacting boson model is justified and derived from nucleon degrees of freedom in a comprehensive manner.

Energy Density Functional Theory of Many-Electron Systems

Energy Density Functional Theory of Many-Electron Systems PDF Author: Eugene S. Kryachko
Publisher: Springer Science & Business Media
ISBN: 9400919700
Category : Science
Languages : en
Pages : 862

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Book Description


Capture Gamma-ray Spectroscopy And Related Topics - Proceedings Of The Fourteenth International Symposium

Capture Gamma-ray Spectroscopy And Related Topics - Proceedings Of The Fourteenth International Symposium PDF Author: Paul E Garrett
Publisher: World Scientific
ISBN: 9814513830
Category : Science
Languages : en
Pages : 680

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Book Description
The book contains the proceedings of the 14th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics held at the University of Guelph from August 28 through September 2, 2011. The proceedings cover topics of nuclear structure, nuclear reactions, nuclear astrophysics, fundamental symmetries in nuclei, statistical aspects of nuclei, and new techniques and applications, from forefront researchers in their fields.

Nuclear Structure Problems - Proceedings of the French-Japanese Symposium

Nuclear Structure Problems - Proceedings of the French-Japanese Symposium PDF Author: Hideaki Otsu
Publisher: World Scientific
ISBN: 9814417955
Category : Science
Languages : en
Pages : 288

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Book Description
The book contains the papers presented in the FrenchOCoJapan Symposium on Nuclear Structure Problems, held in January 2011 at RIKEN Wako Campus with 100 participants.Based on the long history of collaboration between France and Japan in the field of nuclear physics, various problems in recent and future studies are discussed. Emphasis is on the structure of nuclei far from the stability, reactions involving stable and unstable nuclei, nuclear processes and properties of astrophysical interest, synthesis of super-heavy elements, and instrumentation and accelerator projects."

Progress in Physics, vol. 3/2016

Progress in Physics, vol. 3/2016 PDF Author: Dmitri Rabounski
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 158

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Book Description
The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Mathematics

Quantal Density Functional Theory

Quantal Density Functional Theory PDF Author: Viraht Sahni
Publisher: Springer Science & Business Media
ISBN: 3662096242
Category : Science
Languages : en
Pages : 265

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Book Description
Density functional theory is an important and widely used tool in many-body physics that has found applications in atomic, molecular, solid-state and nuclear physics. It is used principally to determine the electronic structure of these complex systems. Sahni has developed a new approach, termed quantal density functional theory, which simplifies the process of solving the computational problem and at the same time, gives insight into the underlying quantum mechanics. Further, the book describes Schrödinger theory from the new perspective of fields and quantal sources. It also explains the physics underlying the functionals and functional derivatives of traditional DFT

Perspectives For The Interacting Boson Model - Proceedings On The Occasion Of Its 20th Anniversary

Perspectives For The Interacting Boson Model - Proceedings On The Occasion Of Its 20th Anniversary PDF Author: Richard F Casten
Publisher: World Scientific
ISBN: 9814549975
Category :
Languages : en
Pages : 780

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Book Description
These proceedings comprise the contents of a major international conference on Perspectives of the Interacting Boson Model. Occasioned by the 20th Anniversary of this model, and attended by approx. 130 scientists from 29 countries, the topics focused on current and future research, which relates to the IBM. This model has now become one of the standard approaches to nuclear structure and has helped usher in a renaissance in that field and a new, unified perspective that focuses on dynamical symmetries and the key role of the valence nucleons. The algebraic approach fostered by the model is being extended to other fields, including nuclear reactions, molecular physics and baryon structure.

Quantal Density Functional Theory II

Quantal Density Functional Theory II PDF Author: Viraht Sahni
Publisher: Springer Science & Business Media
ISBN: 3540922296
Category : Science
Languages : en
Pages : 426

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Book Description
In my original proposal to Springer for a book on Quantal Density Functional Theory, I had envisaged one that was as complete in its presentation as possible, describing the basic theory as well as the approximation methods and a host of applications. However,after workingon the bookforabout ?ve years, I realizedthat the goal was too ambitious, and that I would be writing for another ?ve years for it to be achieved. Fortunately,there was a natural breakin the material, and I proposed to my editor, Dr. Claus Ascheron, that we split the book into two components: the ?rst on the basic theoretical framework, and the second on approximation methods and applications. Dr. Ascheron consented, and I am thankful to him for agreeing to do so. Hence, we published Quantal Density Functional Theory in 2004, and are now publishing Quantal Density Functional Theory II: Approximation Methods and Applications. One signi?cant advantage of this, as it turns out, is that I have been able to incorporate in each volume the most recent understandings available. This volume, like the earlier one, is aimed at advanced undergraduates in physics and chemistry, graduate students and researchers in the ?eld. It is written in the same pedagogical style with details of all proofs and numerous ?gures provided to explain the physics. The book is independent of the ?rst volume and stands on its own. However, proofs given in the ?rst volume are not repeated here.

Energy Research Abstracts

Energy Research Abstracts PDF Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 972

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Book Description


Regularization of the Particle-particle Interaction in the Nuclear Density Functional Theory

Regularization of the Particle-particle Interaction in the Nuclear Density Functional Theory PDF Author: Piotr Jerzy Borycki
Publisher:
ISBN:
Category :
Languages : en
Pages : 84

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Book Description
In this work we show how to regularize the ultraviolet divergences appearing in the local pairing term of the energy density functional. Our approach, entirely rooted in the framework of the Density Functional Theory, is based on the regularization of local densities and currents and can be applied to various classes of energy density functionals. We demonstrated, that for the particular choice of the pairing term of energy density functional, our procedure gives the same regularization scheme to the one obtained earlier by the means of the pairing gap regularization. We also investigated the non-unitarity of the Bogoliubov transformation due to the energy cutoff in the quasiparticle space. We developed and tested the method of restoring the unitarity of the Bogoliubov transformation. We demonstrated that by applying this method one can perform HFB calculations for significantly lower cutoff energies, without losing accuracy.