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The Bohr–Sommerfeld Theory

Helge Kragh

in Niels Bohr and the Quantum Atom: The Bohr Model of Atomic Structure 1913–1925

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199654987
eISBN:
9780191741692
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199654987.003.0004
Subject:
Physics, History of Physics, Atomic, Laser, and Optical Physics

With A. Sommerfeld’s extension of the Bohr theory in 1915–1916, it was turned into a powerful tool of atomic research and adopted and further developed by German physicists in particular. The new and ... More


Atomic Origins of Magnetism

Kannan M. Krishnan

in Fundamentals and Applications of Magnetic Materials

Published in print:
2016
Published Online:
December 2016
ISBN:
9780199570447
eISBN:
9780191813504
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570447.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

A semi-classical formulation to calculate atomic magnetic moments, including some essential concepts of quantum mechanics, is presented. Electrons in orbit are defined by four quantum numbers, to ... More


The Hydrogen Atom and Its Colorful Photons

Frank S. Levin

in Surfing the Quantum World

Published in print:
2017
Published Online:
November 2017
ISBN:
9780198808275
eISBN:
9780191846014
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198808275.003.0010
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The energies, kets and wave functions obtained from the Schrödinger equation for the hydrogen atom are examined in Chapter 9. Three quantum numbers are identified. The energies turn out to be the ... More


Solutions to Schrödinger’s equation

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/9780198808350.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

Eigenstates of the square well potential are calculated and displayed. Barrier penetration and the connection to total internal reflection are explained. α‎–decay by barrier penetration is calculated ... More


π-electron theories of conjugated polymers

William Barford

in Electronic and Optical Properties of Conjugated Polymers

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199677467
eISBN:
9780191757402
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199677467.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

Semi-empirical π‐electron theories of conjugated polymers are introduced, starting from the fundamentals of the Born-Oppenheimer approximation and sp-hybridization. The models described include the ... More


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