ONE-PARTICLE ENERGY SPECTRUM OF AN ELECTRON SYSTEM IN A PERIODIC FIELD

1965 ◽  
Vol 43 (7) ◽  
pp. 1358-1372
Author(s):  
Noboru Matsudaira
Keyword(s):  
Energy Spectrum ◽  
Random Phase ◽  
Electron System ◽  
Field Method ◽  
Particle Energy ◽  
Metallic Hydrogen ◽  
Periodic Field ◽  
Self Consistent Field ◽  
Main Approximation ◽  
Correction Terms

The energy spectrum of an electron in the vicinity of the Fermi surface of an electron system in a periodic field is determined approximately by applying the generalized self-consistent field method of Cohen. The main approximation involved may be regarded as an extension of the random phase approximation usually applied to the interelectronic interaction of an electron gas, to the case including a periodic field. The effect of the periodic field is treated by a secondorder perturbation.The result is expressed as[Formula: see text]The correction terms are roughly estimated numerically and are shown to be small for a simple model of a metal, metallic hydrogen. A brief discussion of the extension of the approximation is given.

scholarly journals NEUTRAL AND CHARGED ANYON FLUIDS

1993 ◽  
Vol 07 (12) ◽  
pp. 2219-2323 ◽  
Author(s):  
YUTAKA HOSOTANI
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Vortex Formation ◽  
Field Method ◽  
Early Analysis ◽  
Hartree Fock ◽  
Hydrodynamic Approach ◽  
Flux Quantization ◽  
Self Consistent Field ◽  
Chern Simons

Properties of neutral and charged anyon fluids are examined, with the main focus on the question of whether or not a charged anyon fluid exhibits a superconductivity at zero and finite temperature. Quantum mechanics of anyon fluids is precisely described by Chern-Simons gauge theory. The random phase approximation (RPA), the linearized self-consistent field method (SCF), and the hydrodynamic approach employed in the early analysis of anyon fluids are all equivalent. Relations and differences between neutral and charged anyon fluids are discussed. It is necessary to go beyond RPA and the linearized SCF, and possively beyond the Hartree-Fock approximation, to correctly describe various phenomena such as the flux quantization, vortex formation, and phase transition.

EFFECTS OF DIELECTRIC MISMATCH ON THE PLASMONS IN QUANTUM WELL SYSTEMS

2003 ◽  
Vol 17 (31n32) ◽  
pp. 6073-6083
Author(s):  
XI-LI ZHANG ◽  
XUE-HUA WANG ◽  
XIN-HAI LIU ◽  
BEN-YUAN GU
Keyword(s):  
Quantum Well ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Field Method ◽  
Single Quantum Well ◽  
One Dimensional ◽  
Self Consistent Field ◽  
The One ◽  
Plasmon Modes ◽  
Dielectric Mismatch

In the framework of random-phase approximation theory and applying the self-consistent field method, we study the properties of collective charge density excitations in single quantum well in consideration of dielectric mismatch. We analytically give the general solution of the image potential to the one dimensional Green's function. Our numerical results demonstrate that the dielectric mismatch between the barrier and well materials significantly changes the frequency of the intra- and inter-subband plasmon modes in contrast with dielectric match. We reasonably conclude that the image potential affects the intra- and inter-subband plasmon modes in a different way.

A First Principles Approach for Partitioning Linear Response Properties into Additive and Cooperative Contributions

2018 ◽  
Author(s):  
Daniel Lambrecht ◽  
Eric Berquist
Keyword(s):  
First Principles ◽  
Linear Response ◽  
Building Blocks ◽  
Field Method ◽  
Response Property ◽  
Response Properties ◽  
Consistent Field ◽  
Molecular Building Blocks ◽  
Self Consistent ◽  
Self Consistent Field

We present a first principles approach for decomposing molecular linear response properties into orthogonal (additive) plus non-orthogonal/cooperative contributions. This approach enables one to 1) identify the contributions of molecular building blocks like functional groups or monomer units to a given response property and 2) quantify cooperativity between these contributions. In analogy to the self consistent field method for molecular interactions, SCF(MI), we term our approach LR(MI). The theory, implementation and pilot data are described in detail in the manuscript and supporting information.

Quantum mechanical computations on very large molecular systems: The local self-consistent field method

1994 ◽  
Vol 15 (3) ◽  
pp. 269-282 ◽  
Author(s):  
Vincent Théry ◽  
Daniel Rinaldi ◽  
Jean-Louis Rivail ◽  
Bernard Maigret ◽  
György G. Ferenczy
Keyword(s):  
Field Method ◽  
Quantum Mechanical ◽  
Molecular Systems ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Quantum Mechanical Computations

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.

Trapped particle energy spectrum in shuttle middeck

1996 ◽  
Vol 18 (12) ◽  
pp. 149-157
Author(s):  
Gautam D Badhwar ◽  
Jagdish U Patel ◽  
Anderi Konradi ◽  
Francis A Cucinotta ◽  
John W Kern
Keyword(s):  
Energy Spectrum ◽  
Particle Energy
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