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Essential Quantum Mechanics

Gary Bowman

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228928
eISBN:
9780191711206
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228928.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

Quantum mechanics — central not only to physics, but also to chemistry, materials science, and other fields — is notoriously abstract and difficult. This book is a concise, explanatory book that ... More


Probability and Statistical Distributions

Željko Ivezi, Andrew J. Connolly, Jacob T. VanderPlas, Alexander Gray, Željko Ivezi, Andrew J. Connolly, Jacob T. VanderPlas, and Alexander Gray

in Statistics, Data Mining, and Machine Learning in Astronomy: A Practical Python Guide for the Analysis of Survey Data

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691151687
eISBN:
9781400848911
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691151687.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter reviews notation and basic concepts in probability and statistics. The coverage of various topics cannot be complete, and it is aimed at concepts needed to understand material covered in ... More


Wavefunctions

Gary E. Bowman

in Essential Quantum Mechanics

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228928
eISBN:
9780191711206
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228928.003.0012
Subject:
Physics, Condensed Matter Physics / Materials

This chapter focuses on a basic but systematic treatment of wavefunctions. By comparison with a spin 1/2 system, the concept of a wavefunction as a collection of coefficients is developed, followed ... More


Symmetry in Crystals

Wai-Kee Li, Gong-Du Zhou, and Thomas Chung Wai Mak

in Advanced Structural Inorganic Chemistry

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199216949
eISBN:
9780191711992
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199216949.003.0009
Subject:
Physics, Crystallography

The symmetry properties of molecules were discussed in Chapter 6, and the corresponding properties of crystals are presented here. In contrast to discrete molecules, crystals have a lattice structure ... More


Dirac notation

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/9780198749349.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter considers a two-state system in order to review the Dirac notation in the simplest realization of quantum mechanics, that is, a Hilbert space spanned by a basis of just two states.


Quantum mechanics

Vlatko Vedral

in Introduction to Quantum Information Science

Published in print:
2006
Published Online:
January 2010
ISBN:
9780199215706
eISBN:
9780191706783
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199215706.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter reviews all the rules of quantum mechanics and their mathematical notation. It also considers quantum entanglement, a fundamental resource in quantum information. There are four basic ... More


The Structure of Quantum States

Gary E. Bowman

in Essential Quantum Mechanics

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228928
eISBN:
9780191711206
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228928.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

The quantum state is the fundamental entity in quantum mechanics. This chapter develops the basic mathematical structure of quantum states by developing the correspondence between states and ordinary ... More


Essential Quantum Mechanics

Mike Finnis

in Interatomic Forces in Condensed Matter

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198509776
eISBN:
9780191709180
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509776.003.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter reviews the general concepts in quantum mechanics that are essential for the purpose of deriving models of interatomic forces in condensed matter. It assumes a familiarity with the usual ... More


The principles of mechanics before Hertz

JESPER LÜTZEN

in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.003.0002
Subject:
Physics, History of Physics

The period until 1860 saw a steady flow of interesting new theoretical discoveries in mechanics, even in the area of mechanics of systems of finitely many mass points. Moreover, there was a continued ... More


Linear Operators and Dyadics

Oliver Johns

in Analytical Mechanics for Relativity and Quantum Mechanics

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567264
eISBN:
9780191717987
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567264.003.0007
Subject:
Physics, Atomic, Laser, and Optical Physics

Linear vector functions of vectors, and the related dyadic notation, are important in the study of rigid body motion and the covariant formulations of relativistic mechanics. These functions have a ... More


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