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  2. Heisenberg picture - Wikipedia

    en.wikipedia.org/wiki/Heisenberg_picture

    In physics, the Heisenberg picture or Heisenberg representation [1] is a formulation (largely due to Werner Heisenberg in 1925) of quantum mechanics in which observables incorporate a dependency on time, but the states are time-independent.

  3. Matrix mechanics - Wikipedia

    en.wikipedia.org/wiki/Matrix_mechanics

    Heisenberg went on to say that Born and Jordan's contribution to quantum mechanics cannot be changed by "a wrong decision from the outside". [28] In 1954, Heisenberg wrote an article honoring Max Planck for his insight in 1900. In the article, Heisenberg credited Born and Jordan for the final mathematical formulation of matrix mechanics and ...

  4. Quantum Heisenberg model - Wikipedia

    en.wikipedia.org/wiki/Quantum_Heisenberg_model

    It is common to name the model depending on the values of , and : if , the model is called the Heisenberg XYZ model; in the case of = = =, it is the Heisenberg XXZ model; if = = =, it is the Heisenberg XXX model. The spin 1/2 Heisenberg model in one dimension may be solved exactly using the Bethe ansatz. [1]

  5. Dynamical pictures - Wikipedia

    en.wikipedia.org/wiki/Dynamical_pictures

    The Heisenberg picture is closest to classical Hamiltonian mechanics (for example, the commutators appearing in the above equations directly correspond to classical Poisson brackets). The Schrödinger picture, the preferred formulation in introductory texts, is easy to visualize in terms of Hilbert space rotations of state vectors, although it ...

  6. Schrödinger equation - Wikipedia

    en.wikipedia.org/wiki/Schrödinger_equation

    The meaning of the Schrödinger equation and how the mathematical entities in it relate to physical reality depends upon the interpretation of quantum mechanics that one adopts. In the views often grouped together as the Copenhagen interpretation , a system's wave function is a collection of statistical information about that system.

  7. Schrödinger picture - Wikipedia

    en.wikipedia.org/wiki/Schrödinger_picture

    In physics, the Schrödinger picture or Schrödinger representation is a formulation of quantum mechanics in which the state vectors evolve in time, but the operators (observables and others) are mostly constant with respect to time (an exception is the Hamiltonian which may change if the potential changes).

  8. Interaction picture - Wikipedia

    en.wikipedia.org/wiki/Interaction_picture

    In quantum mechanics, the interaction picture (also known as the interaction representation or Dirac picture after Paul Dirac, who introduced it) [1] [2] is an intermediate representation between the Schrödinger picture and the Heisenberg picture.

  9. Quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Quantum_mechanics

    Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms. [2]: 1.1 It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science.