In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It attempts...

processing) Color quantization Vector quantization Quantization (music) Quantization (physics) Canonical quantization Geometric quantization Discrete spectrum...

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...

generalization involving infinite degrees of freedom is field quantization, as in the "quantization of the electromagnetic field", referring to photons as field...

single particle either. Canonical quantization Geometric quantization Quantization Second quantization This statement is not unique since it can be argued...

insight into the Landau level quantization. This alternative way is based on the semiclassical Bohr–Sommerfeld quantization condition ℏ ∮ d r ⋅ k − e ∮...

relatively rigorous mathematical approach to quantizing a field theory with a gauge symmetry. Quantization rules in earlier quantum field theory (QFT)...

Canonical quantization First quantization Geometric quantization Quantization (physics) Schrödinger functional Scalar field theory Second quantization on Wikiversity...

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...

Lagrangian submanifolds. It is one of the steps involved in the geometric quantization of a square-integrable functions on a symplectic manifold. Kenji...

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...

and geometric quantization. Communications in mathematical physics, 131(2), 347–380. Axelrod, S., Della Pietra, S., & Witten, E. (1991). Geometric quantization...

geometric quantization, quantization commutes with reduction states that the space of global sections of a line bundle L satisfying the quantization condition...

Witten, E., 1991. Geometric quantization of Chern–Simons gauge theory. representations, 34, p. 39. Witten, E., 1991. Quantization of Chern-Simons gauge theory...

In mathematics, the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence...

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...

abstractions include deformation quantization and geometric quantization.) Expectation values in phase-space quantization are obtained isomorphically to...

broad applications in physics, e.g. geometrical optics, classical mechanics, thermodynamics, geometric quantization, integrable systems and to control...

conjecture" (PDF). Max Planck Institute for Mathematics. July 19, 2024. "QUANTIZATION OF HITCHIN'S INTEGRABLE SYSTEM AND HECKE". University of Chicago. 1991...

and geometric quantisation. Lie Groups and Quantum Mechanics, Springer Lecture Notes in Mathematics Number 52, 1968 Lectures on Geometric Quantization, (with...

renormalization of the norm). This is related to the quantization of constrained systems and quantization of gauge theories. It is also possible to formulate...

completely integrable system Darboux chart deformation quantization deformation quantization. dilating derived symplectic geometry Derived algebraic...

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...

algebras and many more. The Poisson algebras are considered in geometric quantization. They carry two multiplications, turning them into commutative algebras...

Brylinski, Jean-Luc (1993), Loop space, characteristic classes and geometric quantization, Birkhäuser Verlag, ISBN 0-8176-3644-7. Constructions with Bundle...

In condensed matter physics, geometrical frustration (or in short, frustration) is a phenomenon where the combination of conflicting inter-atomic forces...

with < replaced by ≤. GIT quotient Geometric complexity theory Geometric quotient Categorical quotient Quantization commutes with reduction K-stability...

propose quantization of Nambu dynamics. Quantizing Nambu dynamics leads to intriguing structures that coincide with conventional quantization ones when...

possible noise level is the error caused by the quantization of the signal, sometimes called quantization noise. This noise level is non-linear and signal-dependent;...

Brylinski, Jean-Luc (2007), Loop Spaces, Characteristic Classes and Geometric Quantization, Progress in Mathematics, vol. 107, Springer, p. 32, ISBN 9780817647308...