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Quantum Aspects of Resolving Discrete Charges
Quantum Aspects of Resolving Discrete Charges

4. Non-Abelian Quantum Hall States
4. Non-Abelian Quantum Hall States

Quantum Mechanics in One Dimension
Quantum Mechanics in One Dimension

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... we find that the physics is governed by a dimensionless quantity ν defined in (2.9), which is inversely proportional to the Fayet-Iliopoulos parameter θ. The quantity ν dictates whether the Higgs branch or the Coulomb branch is the dominant description of the dynamics. In studying the wave functions ...
The Nobel Prize in Physics 2008
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Hot gases: The transition from the line spectra to

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Dynamic quantum vacuum and relativity

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Bilayer fractional quantum Hall states with dipoles

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The Facets of Relativistic Quantum Field Theory1

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Introduction to Quantum Information and Computation for Chemistry

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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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