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GENERAL RESULTS

A.M. Stoneham

in Theory of Defects in Solids: Electronic Structure of Defects in Insulators and Semiconductors

Published in print:
2001
Published Online:
September 2007
ISBN:
9780198507802
eISBN:
9780191709920
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507802.003.0009
Subject:
Physics, Condensed Matter Physics / Materials

This chapter addresses important formal results. Given a potential (here representing a defect or impurity), what can be said about the number of bound states, the symmetries and relative order of ... More


Topological superconducting phases in one dimension

Felix von Oppen, Yang Peng, and Falko Pientka

in Topological Aspects of Condensed Matter Physics: Lecture Notes of the Les Houches Summer School: Volume 103, August 2014

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198785781
eISBN:
9780191827600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198785781.003.0009
Subject:
Physics, Condensed Matter Physics / Materials

These lecture notes give a pedagogical account of the basic physics of Majorana bound states and the topological superconductors that host them. They introduce the basic concepts, as well as possible ... More


Bound states in one dimension

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/9780198749349.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

In this and in the following chapter, it reviews an important part of undergraduate material, namely solving for bound states and for scattering in one-dimension for the case where the potential is ... More


Introduction to superconductivity

Tero T. Heikkilä

in The Physics of Nanoelectronics: Transport and Fluctuation Phenomena at Low Temperatures

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199592449
eISBN:
9780191747618
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199592449.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the main phenomena related to superconductivity. It explains the basics of the BCS theory and applies it in calculating the superconducting density of states and describing the ... More


Exact S-Matrices

Giuseppe Mussardo

in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

Published in print:
2020
Published Online:
May 2020
ISBN:
9780198788102
eISBN:
9780191830082
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788102.003.0018
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The Ising model in a magnetic field is one of the most beautiful examples of an integrable model. This chapter presents its exact S-matrix and the exact spectrum of its excitations, which consist of ... More


Particle Spectrum by Semi-classical Methods

Giuseppe Mussardo

in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

Published in print:
2020
Published Online:
May 2020
ISBN:
9780198788102
eISBN:
9780191830082
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788102.003.0023
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 23 discusses the setting of a semi-classical method—based on the Lagrangian density of the model, irrespective of whether or not it describes an integrable system—to address the computation ... More


S-matrix Theory

Giuseppe Mussardo

in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

Published in print:
2020
Published Online:
May 2020
ISBN:
9780198788102
eISBN:
9780191830082
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788102.003.0017
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 17 discusses the S-matrix theory of two-dimensional integrable models. From a mathematical point of view, the two-dimensional nature of the systems and their integrability are the crucial ... More


The S-Matrix and Its Analysis

John A. Adam

in Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691148373
eISBN:
9781400885404
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691148373.003.0024
Subject:
Mathematics, Applied Mathematics

This chapter focuses on the scattering matrix, or S-matrix, an infinite-dimensional matrix or operator that expresses the state of a scattering system consisting of waves or particles or both in the ... More


Interacting Fermions and Supersymmetric Models

Giuseppe Mussardo

in Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics

Published in print:
2020
Published Online:
May 2020
ISBN:
9780198788102
eISBN:
9780191830082
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788102.003.0024
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 24 discusses interacting fermions and supersymmetry (SUSY) models. The chapter addresses the semi-classical formalism relative to a fermion field in a bosonic background. It covers topics ... More


Quantum mechanics I–few body systems

Joseph F. Boudreau and Eric S. Swanson

in Applied Computational Physics

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198708636
eISBN:
9780191858598
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198708636.003.0021
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Several techniques for obtaining the eigenspectrum and scattering properties of one- and two-body quantum systems are presented. More unusual topics, such as solving the Schrödinger equation in ... More


A Sturm-Liouville Equation: The Time-Independent One-Dimensional Schrödinger Equation

John A. Adam

in Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691148373
eISBN:
9781400885404
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691148373.003.0023
Subject:
Mathematics, Applied Mathematics

This chapter examines the mathematical properties of the time-independent one-dimensional Schrödinger equation as they relate to Sturm-Liouville problems. The regular Sturm-Liouville theory was ... More


Fusion in the Sun: A Primer in Quantum Physics

E. L. Wolf

in Physics and Technology of Sustainable Energy

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198769804
eISBN:
9780191822636
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198769804.003.0004
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

Protons in the Sun’s core are a dense plasma allowing fusion events where two protons initially join to produce a deuteron. Eventually this leads to alpha particles, the mass-four nucleus of helium, ... More


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