In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It attempts...
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(music) Quantization (physics) Canonical quantization Geometric quantization Discrete spectrum, or otherwise discrete quantity Spatial quantization Charge...
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generalization involving infinite degrees of freedom is field quantization, as in the "quantization of the electromagnetic field", referring to photons as field...
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context, it is also called the second quantization of fields, in contrast to the semi-classical first quantization of single particles. When it was first...
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Canonical quantization First quantization Geometric quantization Quantization (physics) Schrödinger functional Scalar field theory Second quantization on Wikiversity...
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Lagrangian foliation (category Mathematical quantization)
Lagrangian submanifolds. It is one of the steps involved in the geometric quantization of a square-integrable functions on a symplectic manifold. Kenji...
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which led to the first geometric interpretation of spin at a classical level. He also suggested a program of geometric quantization and developed a more...
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single particle either. Canonical quantization Geometric quantization Quantization Second quantization This statement is not unique since it can be argued...
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insight into the Landau level quantization. This alternative way is based on the semiclassical Bohr–Sommerfeld quantization condition ℏ ∮ d r ⋅ k − e ∮...
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and geometric quantization. Communications in mathematical physics, 131(2), 347–380. Axelrod, S., Della Pietra, S., & Witten, E. (1991). Geometric quantization...
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geometric quantization, quantization commutes with reduction states that the space of global sections of a line bundle L satisfying the quantization condition...
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abstractions include deformation quantization and geometric quantization.) Expectation values in phase-space quantization are obtained isomorphically to...
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relatively rigorous mathematical approach to quantizing a field theory with a gauge symmetry. Quantization rules in earlier quantum field theory (QFT)...
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Gauge theory (redirect from Quantization of gauge theories)
variety of means. Methods for quantization are covered in the article on quantization. The main point to quantization is to be able to compute quantum...
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E8. He has been one of the principal developers of the theory of geometric quantization. His introduction of the theory of prequantization has led to the...
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Tensor field (section Geometric introduction)
in areas such as defining integral operators on manifolds, and geometric quantization. When M is a Euclidean space and all the fields are taken to be...
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In computer science, geometric hashing is a method for efficiently finding two-dimensional objects represented by discrete points that have undergone...
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and geometric quantisation. Lie Groups and Quantum Mechanics, Springer Lecture Notes in Mathematics Number 52, 1968 Lectures on Geometric Quantization, (with...
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broad applications in physics, e.g. geometrical optics, classical mechanics, thermodynamics, geometric quantization, integrable systems and to control...
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completely integrable system Darboux chart deformation quantization deformation quantization. dilating derived symplectic geometry Derived algebraic...
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2020 New Year Honours for services to mathematics. Lectures on Geometric Quantization, with D J Simms, Lecture Notes in Physics, Springer, 1976 Introduction...
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Witten, E., 1991. Geometric quantization of Chern–Simons gauge theory. representations, 34, p. 39. Witten, E., 1991. Quantization of Chern-Simons gauge theory...
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algebras and many more. The Poisson algebras are considered in geometric quantization. They carry two multiplications, turning them into commutative algebras...
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Brylinski, Jean-Luc (2007), Loop Spaces, Characteristic Classes and Geometric Quantization, Progress in Mathematics, vol. 107, Springer, p. 32, ISBN 9780817647308...
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view has been significantly advanced by Kostant in his theory of geometric quantization of coadjoint orbits. For a Lie group G {\displaystyle G} , the Kirillov...
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1002/cpa.3160310405. Guillemin, V.; Sternberg, S. (October 1, 1982). "Geometric quantization and multiplicities of group representations". Inventiones Mathematicae...
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renormalization of the norm). This is related to the quantization of constrained systems and quantization of gauge theories. It is also possible to formulate...
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S2CID 123138009. Odzijewicz, Anatol (1 November 1992). "Coherent states and geometric quantization". Communications in Mathematical Physics. 150 (2): 385–413. Bibcode:1992CMaPh...
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K-means clustering (section Vector quantization)
k-means clustering is a method of vector quantization, originally from signal processing, that aims to partition n observations into k clusters in which...
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Quantum gravity (redirect from Third quantization)
Carlo Rovelli and Lee Smolin to derive naturally from a non-perturbative quantization of general relativity. Spin networks do not represent quantum states...
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