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

(music) Quantization (physics) Canonical quantization Geometric quantization Discrete spectrum, or otherwise discrete quantity Spatial quantization Charge...

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

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...

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

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

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 ∮...

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

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

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...

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...

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

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

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

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...

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...

2020 New Year Honours for services to mathematics. Lectures on Geometric Quantization, with D J Simms, Lecture Notes in Physics, Springer, 1976 Introduction...

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

1002/cpa.3160310405. Guillemin, V.; Sternberg, S. (October 1, 1982). "Geometric quantization and multiplicities of group representations". Inventiones Mathematicae...

In computer science, geometric hashing is a method for efficiently finding two-dimensional objects represented by discrete points that have undergone...

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...

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

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

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

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

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

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

well-defined) without some transversality conditions. Notes He means geometric quantization. Sources Weinstein, Alan (2009). "Symplectic Categories". arXiv:0911...

Jauslin, D. Sugny, Dynamics of mixed classical-quantum systems, geometric quantization and coherent states[permanent dead link], Lecture Note Series, IMS...