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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


Field quantization

J. C. Garrison and R. Y. Chiao

in Quantum Optics

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198508861
eISBN:
9780191708640
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508861.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

The cavity-mode quantization conjecture of Chapter 2 is replaced by local commutation relations — which are independent of the size and shape of the cavity — between field-operator components. This ... More


Can the World be Only Wavefunction?

Tim Maudlin

in Many Worlds?: Everett, Quantum Theory, and Reality

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199560561
eISBN:
9780191721380
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199560561.003.0005
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

A common understanding of both the many-worlds theory and the original version of the GRW theory holds that they are ontologically monistic, postulating only the existence of the wavefunction and ... More


Atomic properties: one-electron atoms

Arne Haaland

in Molecules and Models: The molecular structures of main group element compounds

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199235353
eISBN:
9780191715594
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235353.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the application of quantum mechanics to the description of hydrogen and other one-electron atoms. The variation of ionization energy and atomic size with nuclear charge or ... More


Introduction to Quantum Theory

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/9780199216949.003.0001
Subject:
Physics, Crystallography

This chapter covers the rudiments of quantum theory, including the dual nature of light and matter, the Uncertainty Principle and probability concept, the electronic wavefunction, and the probability ... More


The master equation

J. C. Garrison and R. Y. Chiao

in Quantum Optics

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198508861
eISBN:
9780191708640
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508861.003.0019
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter examines the evolution of an open system — the sample — with the quantum Liouville equation for the world density operator. The fundamental approximation is that the action of the sample ... More


Why Is the State Complex?

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/9780199228928.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

This chapter begins with basic complex numbers, including their polar form and their representation with Argand diagrams. This leads naturally into a discussion of the phase of a complex number, and ... More


HOLOMORPHY

John Terning

in Modern Supersymmetry: Dynamics and Duality

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567639
eISBN:
9780191718243
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567639.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Two of the early exciting observations about ☐ = 1 SUSY gauge theories were the absence of quadratic loop corrections to scalar masses and the absence of renormalization for many superpotentials. ... More


Periodic systems: Crystal orbitals and lattice dynamics

ANGELO GAVEZZOTTI

in Molecular Aggregation: Structure analysis and molecular simulation of crystals and liquids

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198570806
eISBN:
9780191718779
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570806.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics

A molecular crystal is an array of molecular objects related by symmetry operations, including pure translation: a system endowed by periodic translational symmetry. This chapter considers atomic ... More


The Wave Function: Essays on the Metaphysics of Quantum Mechanics

Alyssa Ney and David Z Albert (eds)

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199790807
eISBN:
9780199979660
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199790807.001.0001
Subject:
Philosophy, Philosophy of Science

This is a new volume of original essays on the metaphysics of quantum mechanics, in particular the ontological status of the wave function. The essays address questions such as: What fundamental ... 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


Continuity equation and wavefunction properties

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/9780198749349.003.0007
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter discusses the continuity equation and continuity properties of the wavefunction and its spatial derivatives. In addition, it discusses other theorems which are useful for calculations, ... More


Vibrational Contributions to Molecular Properties

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/9780199575398.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter considers corrections to the molecular electromagnetic properties introduced in the previous chapters due to the vibrational motion of the nuclei. It illustrates this for the static ... More


Introduction

E. L. Wolf

in Graphene: A New Paradigm in Condensed Matter and Device Physics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780199645862
eISBN:
9780191767852
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645862.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

Graphene, the single layer of graphite, is a hexagonal network of carbon atoms of high electrical conductivity and great tensile strength. One atom thick, it was first successfully isolated from ... More


Electron bands of graphene

E. L. Wolf

in Graphene: A New Paradigm in Condensed Matter and Device Physics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780199645862
eISBN:
9780191767852
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645862.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

The Schrödinger tight-binding band theory of solids is applied to graphene. The symmetry of the honeycomb lattice leads to cancellation of terms in the conventional approach, such that the ... More


Quantum Mechanics

Nicholas Manton and Nicholas Mee

in The Physical World: An Inspirational Tour of Fundamental Physics

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

In this chapter, the main features of quantum theory are presented. The chapter begins with a historical account of the invention of quantum mechanics. The meaning of position and momentum in quantum ... More


Von Neumann and the Problem of Quantum Measurement: The ‘Collapse of the Wavefunction’

Jim Baggott

in The Quantum Cookbook: Mathematical Recipes for the Foundations for Quantum Mechanics

Published in print:
2020
Published Online:
January 2020
ISBN:
9780198827856
eISBN:
9780191866579
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198827856.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Heisenberg was an ‘anti-realist’. Although Bohr was infamously obscure in many of his writings, it seems that he adopted a generally anti-realist interpretation, too. As their debate became more ... More


Introductory Quantum Chemistry

Wai-Kee Li, Hung Kay Lee, Dennis Kee Pui Ng, Yu-San Cheung, Kendrew Kin Wah Mak, and Thomas Chung Wai Mak

in Problems in Structural Inorganic Chemistry

Published in print:
2018
Published Online:
January 2019
ISBN:
9780198823902
eISBN:
9780191862724
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198823902.003.0002
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter presents 33 problems covering the subject of introductory quantum chemistry, along with the corresponding solutions.


Atomic Orbitals

Wai-Kee Li, Hung Kay Lee, Dennis Kee Pui Ng, Yu-San Cheung, Kendrew Kin Wah Mak, and Thomas Chung Wai Mak

in Problems in Structural Inorganic Chemistry

Published in print:
2018
Published Online:
January 2019
ISBN:
9780198823902
eISBN:
9780191862724
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198823902.003.0003
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

This chapter presents 23 problems covering the subject of atomic orbitals, along with the corresponding solutions.


Schrödinger’s Derivation of the Wave Equation: Quantization as an Eigenvalue Problem

Jim Baggott

in The Quantum Cookbook: Mathematical Recipes for the Foundations for Quantum Mechanics

Published in print:
2020
Published Online:
January 2020
ISBN:
9780198827856
eISBN:
9780191866579
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198827856.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Bohr’s theory of the atom was in trouble as soon as it was formulated. Further detailed spectroscopy studies encouraged a proliferation of quantum numbers and ‘selection rules’ in what became known ... More


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