scholarly journals AUTOMATIC GENERATION OF VACUUM AMPLITUDE MANY-BODY PERTURBATION SERIES

2003 ◽  
Vol 14 (08) ◽  
pp. 1135-1141 ◽  
Author(s):  
P. D. STEVENSON
Keyword(s):  
Ground State ◽  
Code Generation ◽  
State Energy ◽  
Automatic Generation ◽  
Perturbation Series ◽  
Post Processing ◽  
Many Body ◽  
The Many ◽  
Automatic Code ◽  
Diagram Representation

An algorithm and a computer program in Fortran 95 are presented which enumerate the Hugenholtz diagram representation of the many-body perturbation series for the ground state energy with a two-body interaction. The output is in a form suitable for post-processing such as automatic code generation. The result of a particular application, generation of LATEX code to draw the diagrams, is shown.

EXACT MANY BODY FERMI-BOSE TRANSMUTATION IN 2+1 DIMENSIONS

1992 ◽  
Vol 06 (22) ◽  
pp. 3543-3553
Author(s):  
D.M. GAITONDE ◽  
SUMATHI RAO
Keyword(s):  
Gauge Field ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Mean Field ◽  
Scalar Interaction ◽  
Many Body ◽  
Ground State Wavefunction ◽  
The Many ◽  
Chern Simons

We show that the low energy limit of relativistic fermions interacting with a statistical gauge field also includes a scalar interaction. When the Chern-Simons (CS) parameter µ=e2/2π and the scalar interaction is precisely that which is obtained through relativistic reduction, the many-body Hamiltonian can be solved exactly, directly in the fermion gauge, for the ground state energy which is zero and the ground state wavefunction which is gauge equivalent to one, characteristic of free bosons. Conversely, for N bosons interacting with a CS gauge field with µ=e2/2π, the mean-field ground state energy is πN2/m, which is characteristic of N free fermions.

scholarly journals Many-body blow-up profile of boson stars with external potentials

2019 ◽  
Vol 31 (10) ◽  
pp. 1950034 ◽  
Author(s):  
Dinh-Thi Nguyen
Keyword(s):  
Ground State ◽  
State Energy ◽  
Blow Up ◽  
Interaction Strength ◽  
Coupling Constant ◽  
Many Body ◽  
Boson Stars ◽  
The Many ◽  
Chandrasekhar Limit ◽  
Strength Formula

We consider a 3D quantum system of [Formula: see text] identical bosons in a trapping potential [Formula: see text], with [Formula: see text], interacting via a Newton potential with an attractive interaction strength [Formula: see text]. For a fixed large [Formula: see text] and the coupling constant [Formula: see text] smaller than a critical value [Formula: see text] (Chandrasekhar limit mass), in an appropriate sense, the many-body system admits a ground state. We investigate the blow-up behavior of the ground state energy as well as the ground states when [Formula: see text] approaches [Formula: see text] sufficiently slowly in the limit [Formula: see text]. The blow-up profile is given by the Gagliardo–Nirenberg solutions.

scholarly journals THE METHOD OF INCREMENTS — A WAVEFUNCTION-BASED AB-INITIO CORRELATION METHOD FOR SOLIDS

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2204-2214 ◽  
Author(s):  
BEATE PAULUS
Keyword(s):  
Experimental Data ◽  
Ab Initio ◽  
Ground State ◽  
Infinite System ◽  
Correlation Energy ◽  
Correlation Method ◽  
Many Body ◽  
Hartree Fock ◽  
The Many ◽  
Good Agreement

The method of increments is a wavefunction-based ab initio correlation method for solids, which explicitly calculates the many-body wavefunction of the system. After a Hartree-Fock treatment of the infinite system the correlation energy of the solid is expanded in terms of localised orbitals or of a group of localised orbitals. The method of increments has been applied to a great variety of materials with a band gap, but in this paper the extension to metals is described. The application to solid mercury is presented, where we achieve very good agreement of the calculated ground-state properties with the experimental data.

Enterprise WAE: A Lightweight UML Extension for the Characterization of the Presentation Tier of Enterprise Applications with MDD-Based Mockup Generation

2017 ◽  
Vol 27 (08) ◽  
pp. 1291-1331
Author(s):  
Humberto Cortés ◽  
Antonio Navarro
Keyword(s):  
Code Generation ◽  
Web Application ◽  
Service Oriented Architecture ◽  
Low Cost ◽  
Unified Modeling Language ◽  
Automatic Generation ◽  
Role Based Access Control ◽  
Enterprise Applications ◽  
Uml Extension ◽  
Automatic Code

Nowadays, the Unified Modeling Language (UML) is the most successful notation for the design of object-oriented applications. However, plain UML is not enough to characterize the web presentation tier of enterprise applications, including the navigational, structural and role-based access control (RBAC) features present in these applications. In this paper, we present Enterprise Web Application Extension (E-WAE), a lightweight UML extension for the modeling of these elements, which permits the inclusion of multitier, Service-Oriented Architecture (SOA) and security design-level patterns in the models. Our approach follows a Model-Driven Development (MDD) approach, which enables the automatic generation of intermediate platform-specific models and automatic code generation for JavaServer Faces (JSF) and Active Server Pages.NET Model-View-Controller (ASP.NET MVC) frameworks. In addition, this generated code can be used as a low-cost mockup for early client validation of the navigational, structural and RBAC features of enterprise applications. E-WAE has been used with different applications. In this paper, we refer to the checkout process in the Amazon website, the delete resources use case in OdAJ2EE, an educational application developed by us, and the US Library of Congress Online Catalog search facility as examples of its applicability.

scholarly journals Automatic code generation for many-body electronic structure methods: the tensor contraction engine‡‡

2006 ◽  
Vol 104 (2) ◽  
pp. 211-228 ◽  
Author(s):  
Alexander A. Auer ◽  
Gerald Baumgartner ◽  
David E. Bernholdt ◽  
Alina Bibireata ◽  
Venkatesh Choppella ◽  
...  
Keyword(s):  
Electronic Structure ◽  
Code Generation ◽  
Automatic Code Generation ◽  
Many Body ◽  
Electronic Structure Methods ◽  
Tensor Contraction ◽  
Automatic Code

AlexandRIA

2014 ◽  
pp. 303-322
Keyword(s):  
Code Generation ◽  
Automatic Generation ◽  
Cloud Services ◽  
Software Modeling ◽  
Application Development ◽  
Internet Applications ◽  
Model Driven ◽  
Rich Internet Applications ◽  
Ui Design ◽  
Automatic Code

Model-Driven Development (MDD) tools for Rich Internet Applications (RIAs) development are focused on software modeling, and they leave automatic code generation in a second term. On the other hand, Rapid Application Development (RAD) tools for RIAs development enable developers to save development time and effort by leveraging reusable software components. AlexandRIA is a RAD tool that allows developers to automatically generate both source and native code of multi-device RIAs from a set of preferences selected throughout a wizard following the phases of a User Interface (UI) pattern-based code generation approach for multi-device RIAs. In this chapter, the use of the UI design process behind AlexandRIA is demonstrated by means of a sample development scenario addressing the development of a cloud services Application Programming Interfaces (APIs)-based cross-platform mobile RIA. This scenario is further revisited in a case study that addresses the automatic generation of an equivalent application using AlexandRIA.

scholarly journals Non-Hermitian fractional quantum Hall states

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Tsuneya Yoshida ◽  
Koji Kudo ◽  
Yasuhiro Hatsugai
Keyword(s):  
Ground State ◽  
Cold Atoms ◽  
Quantum Hall ◽  
Quantum Zeno Effect ◽  
Many Body ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Zeno Effect ◽  
Quantum Hall States ◽  
The Many

AbstractWe demonstrate the emergence of a topological ordered phase for non-Hermitian systems. Specifically, we elucidate that systems with non-Hermitian two-body interactions show a fractional quantum Hall (FQH) state. The non-Hermitian Hamiltonian is considered to be relevant to cold atoms with dissipation. We conclude the emergence of the non-Hermitian FQH state by the presence of the topological degeneracy and by the many-body Chern number for the ground state multiplet showing Ctot = 1. The robust topological degeneracy against non-Hermiticity arises from the manybody translational symmetry. Furthermore, we discover that the FQH state emerges without any repulsive interactions, which is attributed to a phenomenon reminiscent of the continuous quantum Zeno effect.

EFFECTS OF CORE POLARIZATION AND PAIRING CORRELATIONS ON SOME GROUND-STATE PROPERTIES OF DEFORMED ODD-MASS NUCLEI WITHIN THE HIGHER TAMM–DANCOFF APPROACH

2011 ◽  
Vol 20 (02) ◽  
pp. 252-258 ◽  
Author(s):  
LUDOVIC BONNEAU ◽  
JULIEN LE BLOAS ◽  
PHILIPPE QUENTIN ◽  
NIKOLAY MINKOV
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Energy Difference ◽  
Pair Type ◽  
Many Body ◽  
Hartree Fock ◽  
Ground State Properties ◽  
Pairing Correlations ◽  
The Many ◽  
The Impact

In self-consistent mean-field approaches, the description of odd-mass nuclei requires to break the time-reversal invariance of the underlying one-body hamiltonian. This induces a polarization of the even-even core to which the odd nucleon is added. To properly describe the pairing correlations (in T = 1 and T = 0 channels) in such nuclei, we implement the particle-number conserving Higher Tamm–Dancoff approximation with a residual δ interaction in each isospin channel by restricting the many-body basis to two-particle–two–hole excitations of pair type (nn, pp and np) on top of the Hartree–Fock solution. We apply this approach to the calculation of two ground-state properties of well-deformed nuclei |Tz| = 1 nuclei around 24 Mg and 48 Cr , namely the isovector odd-even binding-energy difference and the magnetic dipole moment, focusing on the impact of pairing correlations.

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