Single-Particle Energy and Effective Mass and the Binding Energy of Many-Body Systems

1958 ◽  
Vol 110 (3) ◽  
pp. 597-600 ◽  
Author(s):  
Keith A. Brueckner
Keyword(s):  
Binding Energy ◽  
Effective Mass ◽  
Single Particle ◽  
Particle Energy ◽  
Single Particle Energy ◽  
Many Body ◽  
Many Body Systems

NOTE ON THE SINGLE-PARTICLE ENERGY AND THE BINDING ENERGY OF MANY-BODY, SATURATED SYSTEMS

1958 ◽  
Vol 36 (10) ◽  
pp. 1261-1264
Author(s):  
George A. Baker Jr.
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Particle Energy ◽  
The Self ◽  
Exclusion Principle ◽  
Single Particle Energy ◽  
Many Body ◽  
Self Consistent ◽  
Particle Potential ◽  
Single Particle Potential

Brueckner has recently pointed out that, for saturation, (Eav−E(pF)) does not vanish in general because of "important many-body contributions to the single particle energy which arise from the effects of the exclusion principle and from the variation of the self-consistent excitation spectrum with density." It is the purpose of this note to evaluate this difference in terms of the properties of the single-particle potential.

THE SURPRISING PHENOMENON OF LEVEL MERGING IN FINITE FERMI SYSTEMS

2008 ◽  
Vol 22 (25n26) ◽  
pp. 4452-4463
Author(s):  
JOHN W. CLARK ◽  
VICTOR A. KHODEL ◽  
HAOCHEN LI ◽  
MIKHAIL V. ZVEREV
Keyword(s):  
Single Particle ◽  
Energy Levels ◽  
Fermi System ◽  
Particle Energy ◽  
Particle Spectrum ◽  
Many Body ◽  
Occupation Numbers ◽  
Inherent Feature ◽  
Wide Range ◽  
Many Body Systems

When applied to a finite Fermi system having a degenerate single-particle spectrum, the Landau-Migdal Fermi-liquid approach leaves room for the possibility that different single-particle energy levels merge with one another. It will be argued that the opportunity for this behavior exists over a wide range of strongly interacting quantum many-body systems. An inherent feature of the mergence phenomenon is the presence of nonintegral quasiparticle occupation numbers, which implies a radical modification of the standard quasiparticle picture. Consequences of this alteration are surveyed for nuclear, atomic, and solid-state systems.

scholarly journals Effects of isovector scalar δ–meson on Λ–hypernuclei

2015 ◽  
Vol 24 (03) ◽  
pp. 1550019
Author(s):  
M. Ikram ◽  
S. K. Singh ◽  
S. K. Biswal ◽  
S. K. Patra
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Energy Levels ◽  
Mean Field Theory ◽  
Mean Field ◽  
Particle Energy ◽  
Spin Orbit ◽  
Single Particle Energy ◽  
Relativistic Mean Field ◽  
Meson Coupling

We analyze the effects of δ–meson on hypernuclei within the framework of relativistic mean field theory. The δ–meson is included into the Lagrangian for hypernuclei. The extra nucleon–meson coupling (gδ) affects every piece of physical observables, like binding energy, radii and single-particle energies of hypernuclei. Magnitude of effects in hypernuclei is found to be relatively less than their normal nuclei because of the presence of Λ hyperon. Flipping of single-particle energy levels are observed with the strength of gδ in the considered hypernuclei as well as normal nuclei. The spin-orbit potentials are observed for considered hypernuclei and the effect of gδ on spin-orbit potentials is also analyzed. The calculated Λ binding energy (BΛ) are quite agreeable with experimental data. The sensitivity of BΛ for s- and p- orbitals with the strength of gδ is also analyzed. Lambda mean potential is investigated which is found to be consistent with other predictions.

On the single-particle-energy spectrum of a Λ particle in nuclear matter

1970 ◽  
Vol 48 (23) ◽  
pp. 2804-2808 ◽  
Author(s):  
K. F. Chong ◽  
Y. Nogami ◽  
E. Satoh
Keyword(s):  
Energy Spectrum ◽  
Nuclear Matter ◽  
Single Particle ◽  
Short Range ◽  
Particle Energy ◽  
Pair Approximation ◽  
Single Particle Energy ◽  
Short Range Repulsion ◽  
Separable Potentials ◽  
Independent Pair

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.

scholarly journals Feynman diagrams and rooted maps

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 149-167 ◽  
Author(s):  
Andrea Prunotto ◽  
Wanda Maria Alberico ◽  
Piotr Czerski
Keyword(s):  
Single Particle ◽  
Feynman Diagram ◽  
Feynman Diagrams ◽  
Topological Properties ◽  
Many Body ◽  
Perturbative Order ◽  
Original Definition ◽  
Many Body Systems ◽  
Definition Of ◽  
Particle Propagator

Abstract The rooted maps theory, a branch of the theory of homology, is shown to be a powerful tool for investigating the topological properties of Feynman diagrams, related to the single particle propagator in the quantum many-body systems. The numerical correspondence between the number of this class of Feynman diagrams as a function of perturbative order and the number of rooted maps as a function of the number of edges is studied. A graphical procedure to associate Feynman diagrams and rooted maps is then stated. Finally, starting from rooted maps principles, an original definition of the genus of a Feynman diagram, which totally differs from the usual one, is given.

Shell-Tunneling Spectroscopy of the Single-Particle Energy Levels of Insulating Quantum Dots

Nano Letters ◽  
2001 ◽  
Vol 1 (10) ◽  
pp. 551-556 ◽  
Author(s):  
E. P. A. M. Bakkers ◽  
Z. Hens ◽  
A. Zunger ◽  
A. Franceschetti ◽  
L. P. Kouwenhoven ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Single Particle ◽  
Energy Levels ◽  
Tunneling Spectroscopy ◽  
Particle Energy ◽  
Single Particle Energy

A SOLVABLE MODEL OF INTERACTING MANY BODY SYSTEMS EXHIBITING A BREAKDOWN OF THE BOLTZMANN EQUATION

2014 ◽  
Vol 28 (03) ◽  
pp. 1450046
Author(s):  
B. H. J. McKELLAR
Keyword(s):  
Boltzmann Equation ◽  
Time Dependence ◽  
Single Particle ◽  
Density Operator ◽  
Particle Density ◽  
Solvable Model ◽  
Many Body ◽  
Single Particle Density ◽  
The Boltzmann Equation ◽  
Many Body Systems

In a particular exactly solvable model of an interacting system, the Boltzmann equation predicts a constant single particle density operator, whereas the exact solution gives a single particle density operator with a nontrivial time dependence. All of the time dependence of the single particle density operator is generated by the correlations.

scholarly journals Capturing excitonic and polaronic effects in lead iodide perovskites from many-body perturbation theory

2021 ◽  
Author(s):  
Pooja Basera ◽  
Arunima Singh ◽  
Deepika Gill ◽  
Saswata Bhattacharya
Keyword(s):  
Optical Properties ◽  
Perturbation Theory ◽  
Binding Energy ◽  
Electronic Properties ◽  
Effective Mass ◽  
Exciton Binding Energy ◽  
Many Body ◽  
Energy Materials ◽  
Lead Iodide ◽  
Many Body Perturbation Theory

Lead iodide perovskites have attracted considerable interest as promising energy-materials. However, till date, several key electronic properties such as optical properties, effective mass, exciton binding energy and the radiative exciton...

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