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... an action on K-theory. In particular, the K-theoretic action is linear over KG (pt) = Rep(G), the ring of finite dimensional representations of G, and any monodromy operator can be written as a matrix with entires in KG (pt). Under the character map to cohomology, an element V ∈ KG (pt) is quite lit ...
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introduction to the many-body problem

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... If the uncertainty of an electron’s position is .14 nm, what is the minimum uncertainty of its velocity? (3) xp > h/2 p = mv m = 9.11 x 10-31 kg (.14 x 10-9 m)p > (6.626 x 10-34 Js)/2 p = 7.5 x 10-25 kg m/s p = mv (7.5 x 10-25 kg m/s) = (9.11 x 10-31 kg)v v = 8.3 x 105 m/s v = 8.3 x 105 m/s ...
The Learnability of Quantum States
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... Counterfeiter only gets s: scheme is private-key Counterfeiter gets both s and es: scheme is public-key Goal: A public-key scheme where completeness error  and soundness error  are both exponentially small ...
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QUANTUM CLAUSTROPHOBIA
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... strikingly in a condensate, in which millions gather in the same exact quantum state. Fermions, in contrast, are quantum individualists, and it is impossible to put two of them into an identical state in the same place. Thus, fermions, named in honor of Italian physicist Enrico Fermi, obey the Pauli ...
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Lecture 22: Simon`s Problem and towards Shor 1 Overview 2

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Applied Quantum Mechanics - Assets

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As we know, the measurement of a static (specific

... states, and perhaps quantum states only, a view adopted by Einstein. Let us call this view “physical state realism.” Or, one might hold that an electron has physical properties with definite values independently of minds or measurements. This last view can be taken in (at least) two ways. One may cl ...
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February 2012 - Liz Roe

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Multi-electron atoms have interactions between electrons, not just
Multi-electron atoms have interactions between electrons, not just

... Quantum mechanics treats the electrons as waves and models THAT behavior! - To describe the electrons, we use WAVEFUNCTIONs - which are mathematical descriptions of the behavior or electrons. - The wavefunction describes the probability of finding an electron in a given space - For larger objects, t ...
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Chapter 3: Planck`s theory of blackbody radiation

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Essentials of Particle Physics

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Quantum Physics - The University of Sydney
Quantum Physics - The University of Sydney

... General goals of this module Quantum mechanics has revolutionised our understanding of both electromagnetic radiation and matter and has facilitated rapid progress in most branches of science and engineering. Devices such as transistors and lasers, based on quantum mechanics, have had an enormous im ...
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NEW COVER SLIDE- qinfo with p & a

... What makes a computer quantum? If a quantum "bit" is described by two numbers: |> = c0|0> + c 1|1>, then n quantum bits are described by 2n coeff's: |> = c00..0|00..0>+c 00..1|00..1>+...c11..1|11..1>; this is exponentially more information than the 2n coefficients it would take to describe n inde ...
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DYNAMICS AND INFORMATION (Published by Uspekhi

... When, however, there is a weak link with the irreversible outside world, the pattern of dynamic behavior may change dramatically. In a classical gas this change occurs because of strong dynamic instability ì that it, because of the fast divergence of paths in the phase space. Because of this, even a ...
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Renormalization Group Seminar Exact solution to the Ising model

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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