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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


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


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


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


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


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.


Linear Algebra and the Dirac Notation

Phillip Kaye, Raymond Laflamme, and Michele Mosca

in An Introduction to Quantum Computing

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198570004
eISBN:
9780191916724
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198570004.003.0005
Subject:
Computer Science, Computer Architecture and Logic Design

We assume the reader has a strong background in elementary linear algebra. In this section we familiarize the reader with the algebraic notation used in quantum ... More


Dirac Notation and Transformation Theory

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/9780198791942.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 1 opens with a brief review of some basic features of quantum mechanics, including the Schrödinger equation, linear and angular momentum and the theory of the hydrogenic atom: It also ... More


Simplest Quantum Devices: Polarizers and Beam Splitters

M. Suhail Zubairy

in Quantum Mechanics for Beginners: With Applications to Quantum Communication and Quantum Computing

Published in print:
2020
Published Online:
June 2020
ISBN:
9780198854227
eISBN:
9780191888649
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198854227.003.0009
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Maxwell showed that light consists of electric and magnetic fields that oscillate in directions perpendicular to the direction of propagation. Associated with this picture of light as an ... More


Review of basic quantum physics

Ian R. Kenyon

in Quantum 20/20: Fundamentals, Entanglement, Gauge Fields, Condensates and Topology

Published in print:
2019
Published Online:
November 2019
ISBN:
9780198808350
eISBN:
9780191846052
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198808350.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

Basic experimental evidence is sketched: the black body radiation spectrum, the photoeffect, Compton scattering and electron diffraction; the Bohr model of the atom. Quantum mechanics is reviewed ... More


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