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Lecture 5 Motion of a charged particle in a magnetic field
What is effect of a static electromagnetic field on a charged particle? Classically, in electric and magnetic field, particles experience a Lorentz force: F = q (E + v × B) q denotes charge (notation: q = −e for electron). Velocity-dependent force qv × B very different from that derived from scalar potential, and programme for ...
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Operator methods in quantum mechanics
www.tcm.phy.cam.ac.ukthe quantum mechanics of bound and unbound particles, some properties can not be represented through a wave-like description. For example, the electron spin degree of freedom does not translate to the action of a gradient operator. It is therefore useful to reformulate quantum mechanics in a framework that involves only operators.
Bandstructures and Density of States - TCM Group
www.tcm.phy.cam.ac.ukBandstructures and Density of States P.J. Hasnip DFT Spectroscopy Workshop 2009. Recap The Brillouin zone Band structure DOS Phonons ... Because the density is fixed for the band structure/DOS calculation itself, it can be quite a lot quicker than the ground state …
Quantum mechanics in one dimension - TCM Group
www.tcm.phy.cam.ac.ukChapter 2 Quantum mechanics in one dimension Following the rules of quantum mechanics, we have seen that the state of a quantum particle, subject to a scalar potential V(r), is described by the time-dependent Schr¨odinger equation,
A Beginner’s Guide to Materials Studio and DFT ...
www.tcm.phy.cam.ac.ukA Beginner’s Guide to Materials Studio and DFT Calculations with Castep P. Hasnip (pjh503@york.ac.uk) September 18, 2007
A Beginner’s Guide to Materials Studio and DFT ...
www.tcm.phy.cam.ac.ukA Beginner’s Guide to Materials Studio and DFT Calculations with Castep P. Hasnip (pjh503@york.ac.uk) September 18, 2007
Physics of ferroelectrics - TCM Group
www.tcm.phy.cam.ac.ukFor further references on the physics (as opposed to the technology or the materials science) of ferroelectrics, one of the best books is an old one (F.Jona and G.Shirane, Ferroelectric Crystals, Dover 1993 (republication of
Lecture 6 Quantum mechanical spin - TCM Group
www.tcm.phy.cam.ac.ukNuclear magnetic resonance The general principles exemplified by paramagnetic resonance underpin methodology of Nuclear magnetic resonance (NMR). NMR principally used to determine structure of molecules in chemistry and biology, and for studying condensed matter in solid or liquid state. Method relies on nuclear magnetic moment of atomic nucleus,
Quantum mechanics in one dimension - TCM Group
www.tcm.phy.cam.ac.ukQuantum mechanics in one dimension Following the rules of quantum mechanics, we have seen that the state of a quantum particle, subject to a scalar potential V(r), is described by the time-dependent Schr¨odinger equation, i!∂tΨ(r,t)=HˆΨ(r,t), (2.1) where Hˆ = −!2∇2 2m + V(r) denotes the Hamiltonian. To explore its proper-
Introduction to the calculation of phonons and of ...
www.tcm.phy.cam.ac.ukchemical bonding and thus of the electronic structure ... • Molecular Dynamics: spectra can be extracted from Molecular Dynamics runs, via the Fourier Transform of the velocity-velocity autocorrelation function f(ω) = 1 ... Density-Functional Perturbation Theory II
Lecture 2 Quantum mechanics in one dimension
www.tcm.phy.cam.ac.ukThe Fourier transform of a normalized Gaussian wave packet, ψ(x)= " 1 2πα # 1/4 eik0x e− x2 4α. (moving at velocity v = !k 0/m) is also a Gaussian, ψ(k)= " 2α π # 1/4 e−α(k−k0) 2, Although we can localize a wave packet to a region of space, this …
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