About: Method of quantum characteristics

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Quantum characteristics are phase-space trajectories that arise in the phase space formulation of quantum mechanics through the Wigner transform of Heisenberg operators of canonical coordinates and momenta. These trajectories obey the Hamilton equations in quantum form and play the role of characteristics in terms of which time-dependent Weyl's symbols of quantum operators can be expressed. In the classical limit, quantum characteristics reduce to classical trajectories. The knowledge of quantum characteristics is equivalent to the knowledge of quantum dynamics.

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rdf:type	yago:WikicatPartialDifferentialEquations yago:Abstraction100002137 yago:Communication100033020 yago:DifferentialEquation106670521 yago:Equation106669864 yago:MathematicalStatement106732169 yago:Message106598915 yago:PartialDifferentialEquation106670866 yago:Statement106722453
rdfs:label	Method of quantum characteristics (en)
rdfs:comment	Quantum characteristics are phase-space trajectories that arise in the phase space formulation of quantum mechanics through the Wigner transform of Heisenberg operators of canonical coordinates and momenta. These trajectories obey the Hamilton equations in quantum form and play the role of characteristics in terms of which time-dependent Weyl's symbols of quantum operators can be expressed. In the classical limit, quantum characteristics reduce to classical trajectories. The knowledge of quantum characteristics is equivalent to the knowledge of quantum dynamics. (en)
dcterms:subject	Partial differential equations
Wikipage page ID	27289973 (xsd:integer)
Wikipage revision ID	1123557605 (xsd:integer)
Link from a Wikipage to another Wikipage	Quantum mechanics De Broglie–Bohm theory Deformation theory Vladimir Arnold Canonical transformations Victor Pavlovich Maslov Classical limit Classical mechanics Liouville's theorem (Hamiltonian) Density matrix Phase space formulation Symplectic manifold Wigner distribution function Wigner quasiprobability distribution Heisenberg picture Euclidean space Partial differential equation Hamiltonian mechanics Hermann Weyl Hilbert space Taylor series Partial differential equations Modified Wigner distribution function Wigner–Weyl transform Poisson bracket Method of characteristics Ordinary differential equation Moyal bracket Schrödinger picture Negative probability Liouville theorem (Hamiltonian) Wigner quasi-probability distribution Weyl–Wigner transform
sameAs	Method of quantum characteristics Method of quantum characteristics Method of quantum characteristics Method of quantum characteristics
dbp:wikiPageUsesTemplate	dbt:Math dbt:Mvar
has abstract	Quantum characteristics are phase-space trajectories that arise in the phase space formulation of quantum mechanics through the Wigner transform of Heisenberg operators of canonical coordinates and momenta. These trajectories obey the Hamilton equations in quantum form and play the role of characteristics in terms of which time-dependent Weyl's symbols of quantum operators can be expressed. In the classical limit, quantum characteristics reduce to classical trajectories. The knowledge of quantum characteristics is equivalent to the knowledge of quantum dynamics. (en)
gold:hypernym	Trajectories
prov:wasDerivedFrom	wikipedia-en:Method_of_quantum_characteristics?oldid=1123557605&ns=0
page length (characters) of wiki page	26220 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Method_of_quantum_characteristics
is Link from a Wikipage to another Wikipage of	Monte Carlo methods for electron transport De Broglie–Bohm theory Phase-space formulation Phase space Wigner quasiprobability distribution Hamiltonian mechanics Method of characteristics List of things named after Joseph Liouville
is foaf:primaryTopic of	wikipedia-en:Method_of_quantum_characteristics

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