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Practical quantum mechanics: modern tools and applications

Practical quantum mechanics: modern tools and applications
Catalogue Information
Field name Details
Dewey Class 530.12 (DDC 23)
Title Practical quantum mechanics : modern tools and applications ([Ebook]) / Efstratios Manousakis
Author Manousakis, Efstratios
Other name(s) Oxford Scholarship Online
Publication Oxford, UK : Oxford University Press , 2015
Physical Details 1 online resource
ISBN 9780191813474
Note Print publication date: 2015 : Print ISBN-13: 9780198749349. - Published to Oxford Scholarship Online: December 2015
Summary Note The book contains lectures notes for a graduate two-semester course in quantum mechanics. It differs from other quantum mechanics textbooks as various parts of the book are inspired by rather recent advances in various areas of physics. For example, the book begins by putting the Schrödinger equation on a spatial discrete lattice, inspired by Hamiltonian lattice gauge theories (HLGT). The book also discusses the path integral formulation of quantum mechanics and emphasize the adiabatic time evolution in the case of a time-dependent Hamiltonian. As an example of how to use symmetry in quantum mechanics, the book treats one-dimensional periodic potentials. The book also discusses atoms and molecules using mean-field-like treatment, such as the Hartree–Fock approximation, including a discussion on how to go beyond it. Electron–electron correlations in the hydrogen molecule are taken into account with a first quantized formulation of the two-site Hubbard model, which is solved analytically. The book also uses the canonical Hamiltonian quantization of quantum electrodynamics after finding the normal modes, in an analogy with the treatment of the normal modes of an array of atoms, the photons emerge as the quanta of such normal modes, in the same way as the phonons emerge in the treatment of the normal modes of the coupled array of atoms. This Hamiltonian quantization of the electromagnetic field is used later to treat its interaction with atomic matter, without having to follow the usual semiclassical treatment.:
Mode of acces to digital resource Digital reproduction. Oxford : Oxford University Press, 2009. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in HTML format.
System details note Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1093/acprof:oso/9780198749349.001.0001
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