Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Position_and_momentum_space> ?p ?o }
- Position_and_momentum_space abstract "In physics and geometry, there are two intertwined vector spaces.Position space (also real space or coordinate space) is the set of all position vectors r of an object in space (usually 3D). The position vector defines a point in space. If the position vector varies with time it will trace out a path or surface, such as the trajectory of a particle. Momentum space is the set of all momentum vectors p of an object in space (again usually 3D). The momentum vector corresponds to the motion of the object. The idea transcends all of physics, classical and quantum mechanics. However, in quantum mechanics, the De Broglie relation p = ħk states that momentum and wavevectors for a free particle are proportional to each other. The set of all wavevectors k forms k-space. and when it is unambiguous, the terms "momentum" (symbol p, also a vector) and "wavevector" are used interchangeably. The De Broglie relation is not true in a crystal.The duality between position and momentum is an example of Pontryagin duality.The position vector r has dimensions of length, the momentum vector has units of [mass][length][time]−1, and the k-vector has dimensions of reciprocal length, so k is the frequency analogue of r, just as angular frequency ω is the inverse quantity and frequency analogue of time t. Physical phenomena can be described using either the positions of particles, or their momenta, both formulations equivalently provide the same information about the system in consideration. Usually r is more intuitive and simpler than k, though the converse is also true, such as in solid-state physics.".
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- Position_and_momentum_space wikiPageLength "13022".
- Position_and_momentum_space wikiPageOutDegree "77".
- Position_and_momentum_space wikiPageRevisionID "678591439".
- Position_and_momentum_space wikiPageWikiLink Aliasing.
- Position_and_momentum_space wikiPageWikiLink Angular_frequency.
- Position_and_momentum_space wikiPageWikiLink Basis_(linear_algebra).
- Position_and_momentum_space wikiPageWikiLink Brillouin_zone.
- Position_and_momentum_space wikiPageWikiLink Category:Particle_physics.
- Position_and_momentum_space wikiPageWikiLink Category:Quantum_mechanics.
- Position_and_momentum_space wikiPageWikiLink Configuration_space.
- Position_and_momentum_space wikiPageWikiLink Coordinate_system.
- Position_and_momentum_space wikiPageWikiLink Crystal_momentum.
- Position_and_momentum_space wikiPageWikiLink Crystal_structure.
- Position_and_momentum_space wikiPageWikiLink De_Broglie_relation.
- Position_and_momentum_space wikiPageWikiLink Differential_of_a_function.
- Position_and_momentum_space wikiPageWikiLink Dimensional_analysis.
- Position_and_momentum_space wikiPageWikiLink Domain_of_a_function.
- Position_and_momentum_space wikiPageWikiLink Eigenfunction.
- Position_and_momentum_space wikiPageWikiLink Eigenvalues.
- Position_and_momentum_space wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Position_and_momentum_space wikiPageWikiLink Electron.
- Position_and_momentum_space wikiPageWikiLink Envelope_(waves).
- Position_and_momentum_space wikiPageWikiLink Euler–Lagrange_equation.
- Position_and_momentum_space wikiPageWikiLink First_Brillouin_zone.
- Position_and_momentum_space wikiPageWikiLink Fourier_transform.
- Position_and_momentum_space wikiPageWikiLink Frequency.
- Position_and_momentum_space wikiPageWikiLink Frequency_domain.
- Position_and_momentum_space wikiPageWikiLink Generalized_coordinate.
- Position_and_momentum_space wikiPageWikiLink Generalized_coordinates.
- Position_and_momentum_space wikiPageWikiLink Geometry.
- Position_and_momentum_space wikiPageWikiLink Hamiltonian_mechanics.
- Position_and_momentum_space wikiPageWikiLink Image_(mathematics).
- Position_and_momentum_space wikiPageWikiLink Integral.
- Position_and_momentum_space wikiPageWikiLink K·p_perturbation_theory.
- Position_and_momentum_space wikiPageWikiLink Lagrangian_mechanics.
- Position_and_momentum_space wikiPageWikiLink Legendre_transformation.
- Position_and_momentum_space wikiPageWikiLink Length.
- Position_and_momentum_space wikiPageWikiLink Linear_combination.
- Position_and_momentum_space wikiPageWikiLink Linear_span.
- Position_and_momentum_space wikiPageWikiLink Matrix_calculus.
- Position_and_momentum_space wikiPageWikiLink Matter_wave.
- Position_and_momentum_space wikiPageWikiLink Momentum.
- Position_and_momentum_space wikiPageWikiLink Momentum_operator.
- Position_and_momentum_space wikiPageWikiLink Momentum_space.
- Position_and_momentum_space wikiPageWikiLink Momentum_vector.
- Position_and_momentum_space wikiPageWikiLink Particle.
- Position_and_momentum_space wikiPageWikiLink Phase_space.
- Position_and_momentum_space wikiPageWikiLink Physics.
- Position_and_momentum_space wikiPageWikiLink Pontryagin_duality.
- Position_and_momentum_space wikiPageWikiLink Position_(vector).
- Position_and_momentum_space wikiPageWikiLink Position_and_momentum_space.
- Position_and_momentum_space wikiPageWikiLink Position_operator.
- Position_and_momentum_space wikiPageWikiLink Position_vector.
- Position_and_momentum_space wikiPageWikiLink Product_rule.
- Position_and_momentum_space wikiPageWikiLink Proportionality_(mathematics).
- Position_and_momentum_space wikiPageWikiLink Quantum_mechanics.
- Position_and_momentum_space wikiPageWikiLink Quantum_state.
- Position_and_momentum_space wikiPageWikiLink Quantum_superposition.
- Position_and_momentum_space wikiPageWikiLink Reciprocal_lattice.
- Position_and_momentum_space wikiPageWikiLink Reciprocal_space.
- Position_and_momentum_space wikiPageWikiLink Schrödinger_equation.
- Position_and_momentum_space wikiPageWikiLink Solid-state_physics.
- Position_and_momentum_space wikiPageWikiLink Space.
- Position_and_momentum_space wikiPageWikiLink Spectrum_(functional_analysis).
- Position_and_momentum_space wikiPageWikiLink Three-dimensional_space.
- Position_and_momentum_space wikiPageWikiLink Three-dimensional_space_(mathematics).
- Position_and_momentum_space wikiPageWikiLink Time.
- Position_and_momentum_space wikiPageWikiLink Time_derivative.
- Position_and_momentum_space wikiPageWikiLink Total_differential.
- Position_and_momentum_space wikiPageWikiLink Trajectory.
- Position_and_momentum_space wikiPageWikiLink Tuple.
- Position_and_momentum_space wikiPageWikiLink Unit_cell.
- Position_and_momentum_space wikiPageWikiLink Unitary_operator.
- Position_and_momentum_space wikiPageWikiLink Unitary_representation.
- Position_and_momentum_space wikiPageWikiLink Vector_space.
- Position_and_momentum_space wikiPageWikiLink Wave_function.
- Position_and_momentum_space wikiPageWikiLink Wave_vector.
- Position_and_momentum_space wikiPageWikiLink Wavevector.
- Position_and_momentum_space wikiPageWikiLink Weight_function.
- Position_and_momentum_space wikiPageWikiLink Weighted_sum.
- Position_and_momentum_space wikiPageWikiLinkText "Position and momentum space".
- Position_and_momentum_space wikiPageWikiLinkText "in the position space".
- Position_and_momentum_space wikiPageWikiLinkText "momentum basis".
- Position_and_momentum_space wikiPageWikiLinkText "momentum representation".
- Position_and_momentum_space wikiPageWikiLinkText "momentum space".
- Position_and_momentum_space wikiPageWikiLinkText "position and momentum space".
- Position_and_momentum_space wikiPageWikiLinkText "position basis".
- Position_and_momentum_space wikiPageWikiLinkText "position space".
- Position_and_momentum_space wikiPageWikiLinkText "real space representation".
- Position_and_momentum_space wikiPageWikiLinkText "real space".
- Position_and_momentum_space hasPhotoCollection Position_and_momentum_space.
- Position_and_momentum_space wikiPageUsesTemplate Template:Further.
- Position_and_momentum_space wikiPageUsesTemplate Template:Main.
- Position_and_momentum_space wikiPageUsesTemplate Template:Redirect.
- Position_and_momentum_space wikiPageUsesTemplate Template:Reflist.
- Position_and_momentum_space subject Category:Particle_physics.
- Position_and_momentum_space subject Category:Quantum_mechanics.
- Position_and_momentum_space hypernym Space.