Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Wigner–Weyl_transform> ?p ?o }
- Wigner–Weyl_transform abstract "In quantum mechanics, the Wigner–Weyl transform or Weyl–Wigner transform is the invertible mapping between functions in the quantum phase space formulation and Hilbert space operators in the Schrödinger picture. Often the mapping from phase space to operators is called the Weyl transform, whereas the mapping from operators to phase space is called the Wigner transform. This mapping was originally devised by Hermann Weyl in 1927 in an attempt to map symmetrized classical phase space functions to operators, a procedure known as Weyl quantization. It is now understood that Weyl quantization is not always well defined and sometimes yields unphysical answers. Nevertheless, the actual formal mapping within quantum mechanics between the phase-space and operator representations is well defined and is given by the Wigner–Weyl transform. Most importantly, the Wigner quasi-probability distribution is the Wigner transform of the quantum density matrix, and, conversely, the density matrix is the Weyl transform of the Wigner function. In some contrast to Weyl's original intentions in seeking a consistent quantization scheme, this map merely amounts to a change of representation. It need not connect "classical" with "quantum" quantities: the starting phase-space function may well depend on Planck's constant ħ. Indeed, in some familiar cases involving angular momentum, it does. This invertible representation change then allows one to express quantum mechanics in phase space, as was appreciated in the 1940s by Groenewold and Moyal.".
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- Wigner–Weyl_transform wikiPageWikiLink American_Journal_of_Physics.
- Wigner–Weyl_transform wikiPageWikiLink Binomial_coefficient.
- Wigner–Weyl_transform wikiPageWikiLink Bohr_model.
- Wigner–Weyl_transform wikiPageWikiLink Canonical_commutation_relation.
- Wigner–Weyl_transform wikiPageWikiLink Category:Concepts_in_physics.
- Wigner–Weyl_transform wikiPageWikiLink Category:Foundational_quantum_physics.
- Wigner–Weyl_transform wikiPageWikiLink Category:Mathematical_physics.
- Wigner–Weyl_transform wikiPageWikiLink Category:Mathematical_quantization.
- Wigner–Weyl_transform wikiPageWikiLink Category:Quantum_mechanics.
- Wigner–Weyl_transform wikiPageWikiLink Classical_limit.
- Wigner–Weyl_transform wikiPageWikiLink Commutator.
- Wigner–Weyl_transform wikiPageWikiLink Correspondence_principle.
- Wigner–Weyl_transform wikiPageWikiLink Deformation_theory.
- Wigner–Weyl_transform wikiPageWikiLink Density_matrix.
- Wigner–Weyl_transform wikiPageWikiLink Dirac_delta_function.
- Wigner–Weyl_transform wikiPageWikiLink Eratosthenes.
- Wigner–Weyl_transform wikiPageWikiLink Exponential_map_(Lie_theory).
- Wigner–Weyl_transform wikiPageWikiLink Functor.
- Wigner–Weyl_transform wikiPageWikiLink Gabor–Wigner_transform.
- Wigner–Weyl_transform wikiPageWikiLink Group_contraction.
- Wigner–Weyl_transform wikiPageWikiLink Group_representation.
- Wigner–Weyl_transform wikiPageWikiLink Heisenberg_algebra.
- Wigner–Weyl_transform wikiPageWikiLink Heisenberg_group.
- Wigner–Weyl_transform wikiPageWikiLink Hermann_Weyl.
- Wigner–Weyl_transform wikiPageWikiLink Hilbert_space.
- Wigner–Weyl_transform wikiPageWikiLink Hilbrand_J._Groenewold.
- Wigner–Weyl_transform wikiPageWikiLink Hyperbolic_function.
- Wigner–Weyl_transform wikiPageWikiLink José_Enrique_Moyal.
- Wigner–Weyl_transform wikiPageWikiLink Kac–Moody_algebra.
- Wigner–Weyl_transform wikiPageWikiLink Kontsevich_quantization_formula.
- Wigner–Weyl_transform wikiPageWikiLink Lie_algebra.
- Wigner–Weyl_transform wikiPageWikiLink Lie_group.
- Wigner–Weyl_transform wikiPageWikiLink Moyal_bracket.
- Wigner–Weyl_transform wikiPageWikiLink Moyal_product.
- Wigner–Weyl_transform wikiPageWikiLink Non-commutative_geometry.
- Wigner–Weyl_transform wikiPageWikiLink Noncommutative_geometry.
- Wigner–Weyl_transform wikiPageWikiLink Operator_(mathematics).
- Wigner–Weyl_transform wikiPageWikiLink Oscillator_representation.
- Wigner–Weyl_transform wikiPageWikiLink Phase_space_formulation.
- Wigner–Weyl_transform wikiPageWikiLink Planck_constant.
- Wigner–Weyl_transform wikiPageWikiLink Poisson_bivector.
- Wigner–Weyl_transform wikiPageWikiLink Poisson_bracket.
- Wigner–Weyl_transform wikiPageWikiLink Poisson_manifold.
- Wigner–Weyl_transform wikiPageWikiLink Poisson–Lie_group.
- Wigner–Weyl_transform wikiPageWikiLink Quantum_harmonic_oscillator.
- Wigner–Weyl_transform wikiPageWikiLink Quantum_mechanics.
- Wigner–Weyl_transform wikiPageWikiLink Real-valued_function.
- Wigner–Weyl_transform wikiPageWikiLink Reduced_Planck_constant.
- Wigner–Weyl_transform wikiPageWikiLink Schrödinger_picture.
- Wigner–Weyl_transform wikiPageWikiLink Schwartz_space.
- Wigner–Weyl_transform wikiPageWikiLink Self-adjoint.
- Wigner–Weyl_transform wikiPageWikiLink Square-integrable_function.
- Wigner–Weyl_transform wikiPageWikiLink Square_integrable.
- Wigner–Weyl_transform wikiPageWikiLink Stone–von_Neumann_theorem.
- Wigner–Weyl_transform wikiPageWikiLink Symplectic_manifold.
- Wigner–Weyl_transform wikiPageWikiLink Trace-class.
- Wigner–Weyl_transform wikiPageWikiLink Trace_class.
- Wigner–Weyl_transform wikiPageWikiLink Unbounded_operator.
- Wigner–Weyl_transform wikiPageWikiLink Weyl_algebra.
- Wigner–Weyl_transform wikiPageWikiLink Wigner_quasi-probability_distribution.
- Wigner–Weyl_transform wikiPageWikiLink Wigner_quasiprobability_distribution.
- Wigner–Weyl_transform wikiPageWikiLinkText ""Moyal–Weyl" ★-product".
- Wigner–Weyl_transform wikiPageWikiLinkText "Weyl map".
- Wigner–Weyl_transform wikiPageWikiLinkText "Weyl transform".
- Wigner–Weyl_transform wikiPageWikiLinkText "Weyl transformation".
- Wigner–Weyl_transform wikiPageWikiLinkText "Wigner map".
- Wigner–Weyl_transform wikiPageWikiLinkText "Wigner transform".
- Wigner–Weyl_transform wikiPageWikiLinkText "Wigner–Weyl representation".
- Wigner–Weyl_transform wikiPageWikiLinkText "Wigner–Weyl transform".
- Wigner–Weyl_transform wikiPageWikiLinkText "deformation quantization".
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- Wigner–Weyl_transform title "Weyl quantization".
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- Wigner–Weyl_transform subject Category:Concepts_in_physics.
- Wigner–Weyl_transform subject Category:Foundational_quantum_physics.
- Wigner–Weyl_transform subject Category:Mathematical_physics.
- Wigner–Weyl_transform subject Category:Mathematical_quantization.
- Wigner–Weyl_transform subject Category:Quantum_mechanics.
- Wigner–Weyl_transform comment "In quantum mechanics, the Wigner–Weyl transform or Weyl–Wigner transform is the invertible mapping between functions in the quantum phase space formulation and Hilbert space operators in the Schrödinger picture. Often the mapping from phase space to operators is called the Weyl transform, whereas the mapping from operators to phase space is called the Wigner transform.".
- Wigner–Weyl_transform label "Wigner–Weyl transform".