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Many-Body Methods for Chern-Simons Systems

Lucjan Jacak, Piotr Sitko, Konrad Wieczorek, and Arkadiusz Wojs

in Quantum Hall systems: Braid groups, composite fermions and fractional charge

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528708
eISBN:
9780191713477
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528708.003.0005
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter addresses the quantum theory of many-body systems with Chern–Simons field in order to describe the change of statistics in two-dimensional systems. The random phase approximation is used ... More


Anyon Superconductivity

Lucjan Jacak, Piotr Sitko, Konrad Wieczorek, and Arkadiusz Wojs

in Quantum Hall systems: Braid groups, composite fermions and fractional charge

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528708
eISBN:
9780191713477
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528708.003.0006
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter considers the Meissner effect in an anyon gas at T=0. The gas of anyons at finite temperatures is also studied. The Higgs mechanism in an anyon superconductor and its relations with ... More


Interacting Fermion Systems

Xiao-Gang Wen

in Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons

Published in print:
2007
Published Online:
February 2010
ISBN:
9780199227259
eISBN:
9780191713019
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227259.003.05
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter first studies the interaction effect of a Fermi sea on a single particle propagator and the related phenomenon of orthogonality catastrophe in X-ray spectrum. It then looks at a weakly ... More


Quantum mechanics in semiconductor nanostructures

Thomas Ihn

in Semiconductor Nanostructures: Quantum states and electronic transport

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199534425
eISBN:
9780191715297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534425.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter derives the general effective mass many-particle hamiltonian for semiconductor nanostructures, including the effects of ionized dopants and other localized charges; the effect of gate ... More


Short Review of Electronic Structure Methods

Stephan P. A. Sauer

in Molecular Electromagnetism: A Computational Chemistry Approach

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199575398
eISBN:
9780191775109
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575398.003.0009
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter reviews the most important wavefunction-based computational chemistry methods for calculating ground state energies and electronic wavefunctions of molecules. These include the ... More


Elementary atomic physics

Efstratios Manousakis

in Practical Quantum Mechanics: Modern Tools and Applications

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.003.0026
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter applies quantum mechanics and its approximations to some elementary atomic physics questions. It also applies the so-called Hartree–Fock approximation and discuss how one can go beyond ... More


Hartree–Fock and Density Functional Theory

J. B. Ketterson

in The Physics of Solids

Published in print:
2016
Published Online:
December 2016
ISBN:
9780198742906
eISBN:
9780191821523
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742906.003.0015
Subject:
Physics, Condensed Matter Physics / Materials

This chapter continues the analysis initiated in Chapter 14 of the effects resulting from the mutual Coulomb repulsion between electrons, by discussing the Hartree and the Hartree–Fock theories. It ... More


Practical Quantum Mechanics: Modern Tools and Applications

Efstratios Manousakis

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

The book contains lectures notes for a graduate two-semester course in quantum mechanics. It differs from other quantum mechanics textbooks as various parts of the book are inspired by rather recent ... More


Quantum Chemistry Calculations

Robert N. Compton and Michael A. Duncan

in Laser Experiments for Chemistry and Physics

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198742975
eISBN:
9780191816932
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742975.003.0015
Subject:
Physics, Atomic, Laser, and Optical Physics

Lasers are employed in this book to obtain many molecular properties, from IR and Raman vibrational frequencies, to molecular energy levels, to optical rotary dispersion values. This chapter ... More


Equations of Motion with Particle–Particle Interactions and Approximations

Norman J. Morgenstern Horing

in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198791942
eISBN:
9780191834165
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791942.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Starting with the equation of motion for the field operator ψ(x,t) of an interacting many-particle system, the n-particle Green’s function (Gn) equation of motion is developed, with interparticle ... More


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