enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Position and momentum spaces - Wikipedia

    en.wikipedia.org/wiki/Position_and_momentum_spaces

    Quantum mechanics provides two fundamental examples of the duality between position and momentum, the Heisenberg uncertainty principle ΔxΔp ≥ ħ/2 stating that position and momentum cannot be simultaneously known to arbitrary precision, and the de Broglie relation p = ħk which states the momentum and wavevector of a free particle are ...

  3. Geometric quantization - Wikipedia

    en.wikipedia.org/wiki/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.

  4. Quantum geometry - Wikipedia

    en.wikipedia.org/wiki/Quantum_geometry

    Each theory of quantum gravity uses the term "quantum geometry" in a slightly different fashion. String theory, a leading candidate for a quantum theory of gravity, uses it to describe exotic phenomena such as T-duality and other geometric dualities, mirror symmetry, topology-changing transitions [clarification needed], minimal possible distance scale, and other effects that challenge intuition.

  5. Quantization (physics) - Wikipedia

    en.wikipedia.org/wiki/Quantization_(physics)

    For example, the similarity between the Heisenberg equation in the Heisenberg picture of quantum mechanics and the Hamilton equation in classical physics should be built in. A more geometric approach to quantization, in which the classical phase space can be a general symplectic manifold, was developed in the 1970s by Bertram Kostant and Jean ...

  6. Noncommutative quantum field theory - Wikipedia

    en.wikipedia.org/wiki/Noncommutative_quantum...

    The implication is that a quantum field theory on noncommutative spacetime can be interpreted as a low energy limit of the theory of open strings. Two papers, one by Sergio Doplicher , Klaus Fredenhagen and John Roberts [ 5 ] and the other by D. V. Ahluwalia, [ 6 ] set out another motivation for the possible noncommutativity of space-time.

  7. Curvilinear coordinates - Wikipedia

    en.wikipedia.org/wiki/Curvilinear_coordinates

    A Cartesian coordinate surface in this space is a coordinate plane; for example z = 0 defines the x-y plane. In the same space, the coordinate surface r = 1 in spherical coordinates is the surface of a unit sphere, which is curved. The formalism of curvilinear coordinates provides a unified and general description of the standard coordinate ...

  8. Wightman axioms - Wikipedia

    en.wikipedia.org/wiki/Wightman_axioms

    Quantum mechanics is described according to von Neumann; in particular, the pure states are given by the rays, i.e. the one-dimensional subspaces, of some separable complex Hilbert space. In the following, the scalar product of Hilbert space vectors Ψ and Φ is denoted by Ψ , Φ {\displaystyle \langle \Psi ,\Phi \rangle } , and the norm of Ψ ...

  9. Quantum graph - Wikipedia

    en.wikipedia.org/wiki/Quantum_graph

    A metric graph embedded in the plane with three open edges. The dashed line denotes the metric distance between two points and .. A metric graph is a graph consisting of a set of vertices and a set of edges where each edge = (,) has been associated with an interval [,] so that is the coordinate on the interval, the vertex corresponds to = and to = or vice versa.