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Lecture 4
Lecture 4

... crystal. They are changed by collisions with the vibrating crystal lattice. In these collisions energy between the particles and the lattice is exchanged. This is modeled by the creation and destruction of pseudo particles (phonons). In crystals this is by far the most important collision mechanism ...
Developments of the Theory of Spin Susceptibility in Metals
Developments of the Theory of Spin Susceptibility in Metals

... operator as in Eq. (1) does not have an exact scattering theory [3]. It is obvious that it cannot be treated rigorously in a Schrodinger equation: let the negative three dimensional Dirac operator be represented by a cubic well of width a and depth a;3 . A Schrodinger wave squeezed into this well ...
useful relations in quantum field theory
useful relations in quantum field theory

Lecture 9.
Lecture 9.

... All nucleons, that is neutrons and protons, composing any atomic nucleus, have the intrinsic quantum property of spin. The overall spin of the nucleus is determined by the spin quantum number S. If the number of both the protons and neutrons in a given nuclide are even then S = 0, i.e. there is no o ...
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Δk/k

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Slides - MAGNETISM.eu

... quantum mechanics mechanics Spin The core of quantum mechanics: • principle of linear superposition of wave functions, also of a single particle => interference (Young experiment works with a single photon, electron, …) • not all the solutions of a given Schroedinger equation (wave functions) repres ...
Strong-Disorder Fixed Point in the Dissipative Random Transverse-Field Ising Model
Strong-Disorder Fixed Point in the Dissipative Random Transverse-Field Ising Model

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Theoretical Question T3
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... vacuum are repulsive to each other. However, in some metals, the net force between electrons can become attractive due to the lattice vibrations. When the temperature of the metal is low enough, lower than some critical temperature Tc, electrons with opposite momenta and opposite spins can form pair ...
Get PDF - OSA Publishing
Get PDF - OSA Publishing

M. J. Gilbert and J. P. Bird,"Application of Split-Gate Structures as Tunable Spin Filters," Applied Physics Letters , 77 , 1050 (2000).
M. J. Gilbert and J. P. Bird,"Application of Split-Gate Structures as Tunable Spin Filters," Applied Physics Letters , 77 , 1050 (2000).

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An introduction to the dynamical mean

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pptx, 11Mb - ITEP Lattice Group
pptx, 11Mb - ITEP Lattice Group

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Spin-Orbital Liquid on a Triangular Lattice
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... are R = N rs /π and ω0 = CF ~2 π 2 /(32mrs2 ). The Heisenberg coupling energy of the model Hamiltonian can be fitted to the splitting of the lowest band (vibrational ground state) at a given angular momentum. For example, for six electrons J can be determined from the energy difference of the lowest ...
Bosonic Symmetry Protected Topological States: Theory, Numerics
Bosonic Symmetry Protected Topological States: Theory, Numerics

... • The spirit: spherical chicken Leonard Hofstadter from the Big Bang Theory: There's this farmer, and he has these chickens, but they won't lay any eggs. So, he calls a physicist to help. The physicist then does some calculations, and he says, um, I have a solution, but it only works with spherical ...
Optical Pumping of Rubidium - University of San Diego Home Pages
Optical Pumping of Rubidium - University of San Diego Home Pages

... an optically pumped system will output a constant maximum on the oscilloscope, RF radiation from a variable source is used to defeat optical pumping and cause dips to appear on the oscilloscope as less light is transmitted. The RF radiation does this by providing energy to the atoms which can be use ...
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Statistical Physics (PHY831), Part 2-Exact results and solvable models

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Chemistry 453 March 17, 2008 Enter answers in a Blue Book Final
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Q.M3 Home work 1 Due date 8.11.15 1

Poster PDF (4.4mb)
Poster PDF (4.4mb)

... [2] Y.-J. Lin, R. L. Compton, K. Jimenez-Garcia, J. V. Porto, and I. Spielman, Nature 462, 628 (2009). [3] K. Jimenez-Garcia, L. J. LeBlanc, R. A. Williams, M. C. Beeler, A. R. Perry, and I. B. Spielman, Phys. Rev. Lett. 108, 225303 (2012). [4] M. Aidelsburger, M. Atala, S. Nascimbène, S. Trotzky, Y ...
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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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