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  2. Quantum speed limit - Wikipedia

    en.wikipedia.org/wiki/Quantum_speed_limit

    In quantum mechanics, a quantum speed limit (QSL) is a limitation on the minimum time for a quantum system to evolve between two distinguishable (orthogonal) states. [1] QSL theorems are closely related to time-energy uncertainty relations.

  3. Lieb–Robinson bounds - Wikipedia

    en.wikipedia.org/wiki/Lieb–Robinson_bounds

    The Lieb–Robinson bound is a theoretical upper limit on the speed at which information can propagate in non-relativistic quantum systems. It demonstrates that information cannot travel instantaneously in quantum theory, even when the relativity limits of the speed of light are ignored.

  4. List of equations in quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    A fundamental physical constant occurring in quantum mechanics is the Planck constant, h. A common abbreviation is ħ = h /2 π , also known as the reduced Planck constant or Dirac constant . Quantity (common name/s)

  5. Quantum limit - Wikipedia

    en.wikipedia.org/wiki/Quantum_limit

    A quantum limit in physics is a limit on measurement accuracy at quantum scales. [1] Depending on the context, the limit may be absolute (such as the Heisenberg limit), or it may only apply when the experiment is conducted with naturally occurring quantum states (e.g. the standard quantum limit in interferometry) and can be circumvented with advanced state preparation and measurement schemes.

  6. Introduction to quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Introduction_to_quantum...

    It requires quantum theory to converge to classical limits. [ 9 ] : 29 A related concept is Ehrenfest's theorem , which shows that the average values obtained from quantum mechanics (e.g. position and momentum) obey classical laws.

  7. Relativistic quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Relativistic_quantum_mechanics

    Relativistic quantum mechanics (RQM) is quantum mechanics applied with special relativity. Although the earlier formulations, like the Schrödinger picture and Heisenberg picture were originally formulated in a non-relativistic background, a few of them (e.g. the Dirac or path-integral formalism) also work with special relativity.

  8. 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. Quantum mechanics can describe many systems that classical physics cannot.

  9. Quantum tunnelling - Wikipedia

    en.wikipedia.org/wiki/Quantum_tunnelling

    In particular, the group velocity of a wave packet does not measure its speed, but is related to the amount of time the wave packet is stored in the barrier. Moreover, if quantum tunneling is modeled with the relativistic Dirac equation, well established mathematical theorems imply that the process is completely subluminal. [42] [43]