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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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