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Quantum graphs and the integer quantum Hall effect
Quantum graphs and the integer quantum Hall effect

... energy spectra of independent electron’s model, a result which led Osadchy and Avron [11] to draw the phase diagram for Hofstadter’s model [12]. This phase diagram is fractal and depicts infinitely many phases, each one characterized by the integer value of the Hall conductance. Such fractal phase d ...
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chemical equation - Central Lyon CSD

... numbers are called coefficients—small whole numbers that are placed in front of the formulas in an equation in order to balance it. ...
PHYS 1443 – Section 501 Lecture #1
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... final velocities of the automobile are vi= -15.0i m/s and vf=2.60i m/s. If the collision lasts for 0.150 seconds, what would be the impulse caused by the collision and the average force exerted on the automobile? Let’s assume that the force involved in the collision is a lot larger than any other fo ...
Spontaneous persistent currents in a quantum spin Hall insulator D. Soriano
Spontaneous persistent currents in a quantum spin Hall insulator D. Soriano

... Ordered electronic phases can emerge in condensed matter with properties fundamentally different from those of the constituent atoms. Two main different scenarios are known that result in the emergence of nontrivial electronic order. On one side, spontaneous symmetry breaking driven by manybody inte ...
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the problem book

... Hint: In two dimensional problems the system is considered to be very long in the z direction compared to its length in the x or y directions. Hence, we may use the approximation that Φ is independent of z, i.e., Φ is a function of x and y only. ...
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Is the Zero-Point Energy Real? - General Guide To Personal and

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... Viewing a magnetic dipole as a rotating charged sphere brings out the close connection between magnetic moment and angular momentum. Both the magnetic moment and the angular momentum increase with the rate of rotation of the sphere. The ratio of the two is called the gyromagnetic ratio, usually deno ...
Copyright c 2016 by Robert G. Littlejohn Physics 221A Fall 2016
Copyright c 2016 by Robert G. Littlejohn Physics 221A Fall 2016

... on both x and R. Similar concerns could also be raised when defining the translation operators. We will ignore this possible complication as it turns out to be unnecessary in kinetic-plus-potential problems, and we will just work with the definition (3). Problems with magnetic fields, however, force ...
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Spin Excitations in the Spin-Tetrahedral

... Precision tests of the Standard Model of Particle Physics require, besides accurate measurements, precise calculations. Recently we obtained a breakthrough in the field of precision calculations for many-particle reactions. Using newly developed methods we evaluated the complete first-order electrow ...
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Physics of Magnetism - University of Oxford

... In Ferromagnetic materials applied magnetic fields induce a magnetization parallel to the applied field, which can be retained after removal of the applied field, giving rise to a remanent magnetization. The magnetization does not exhibit a linear relationship with the applied field and for a given ...
Titles and Abstracts
Titles and Abstracts

N.M. Atakishiyev, S.M. Chumakov, A.L. Rivera y K.B. Wolf
N.M. Atakishiyev, S.M. Chumakov, A.L. Rivera y K.B. Wolf

... in phase space for a quasi-periodic motion, which leads to the SchrSdinger cat states [ 13,151. It is a “global phenomenon” since the quantum state spreads over the whole phase volume allowed by the conservation laws. It reveals itself usually at times longer than the fundamental period of the oscil ...
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the origins of the quantum theory

... The second, dating from roughly the same period, was thermodynamics and statistical mechanics, governing transformations of energy and its behavior in time. A pressing question was whether these two grand theories could be fused into one, since they started from different fundamental notions. Beginn ...
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... establishing the approximate slow dynamics as a reduced Lindblad master equation (15). The first goal builds on a typical Lyapunov-LaSalle strategy, with additional care needed due to the infinite dimension. For the second goal, we resort to a separation of the quantum dynamics into fast and slow co ...
Density matrix renormalization group method (Swapan K Pati)
Density matrix renormalization group method (Swapan K Pati)

Charging of particles in a plasma
Charging of particles in a plasma

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Quantum Mathematics Table of Contents

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Chapter 7: Quantum Theory and the Electronic Structure of Atoms

old notes - Brandeis
old notes - Brandeis

Properties of atoms result from electron configuration
Properties of atoms result from electron configuration

... you  cannot  know  its  location  exactly  at   the  same  moment.   •  So,  the  location  and  movement  of   electrons  cannot  be  known  precisely   at  any  particular  moment.   •  Heisenberg’s  work  supported  that  of   Schrödinge ...
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Relativistic quantum mechanics

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