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Geometric quantization

In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It attempts to carry out quantization, for which there is in general no exact recipe, in such a way that certain analogies between the classical theory and the quantum theory remain manifest. For example, the…

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Geometric quantization

Nodes38
Edges37
Triples50
Avg. degree1.95
Density0.052632
Components1

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Geometric quantization

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related to External links · 13
Geometric quantization → Applications, Baez's, Blau's, Echeverria-Enriquez, Fields, Fluids, Geometric, John Baez, Mathematical, Munoz-Lecanda, Roman-Roy, Sardanashvily, William Ritter's
related to Origins · 13
Geometric quantization → Alexandre Kirillov's, Bertram Kostant, Groenewold, Heisenberg, Here, Hermann Weyl, Hilbert, In, Jean-Marie Souriau, One, The, This, Weyl
related to Types · 8
Geometric quantization → Bargmann, Hilbert, Nevertheless, Poisson, Poisson-commuting, Prequantization, Segal, The
related to Polarization · 6
Geometric quantization → Hamiltonian, Hilbert, If, Lagrangian, The, Typically
related to Example · 4
Geometric quantization → Assuming, Hilbert, In, SU
related to Poisson manifolds · 4
Geometric quantization → For, Geometric, Hamiltonian, Poisson
is a · 2
Geometric quantization → choice of a polarization, mathematical approach to defining a quantum theory corresponding to a given classical theory

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Important terminology

displaystyle quantization space quantum hilbert polarization geometric classical functions case hbar half-form example one prequantum symplectic theory correction also physics

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SubjectPredicateObjectConfidenceSrc
Geometric quantizationis amathematical approach to defining a quantum theory corresponding to a given classical theory0.90text
Geometric quantizationis achoice of a polarization0.90text
Geometric quantizationrelated to ExampleIn0.60section
Geometric quantizationrelated to ExampleAssuming0.60section
Geometric quantizationrelated to ExampleHilbert0.60section
Geometric quantizationrelated to ExampleSU0.60section
Geometric quantizationrelated to External linksWilliam Ritter's0.60section
Geometric quantizationrelated to External linksBaez's0.60section
Geometric quantizationrelated to External linksJohn Baez0.60section
Geometric quantizationrelated to External linksBlau's0.60section
Geometric quantizationrelated to External linksEcheverria-Enriquez0.60section
Geometric quantizationrelated to External linksMunoz-Lecanda0.60section

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