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  2. 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.

  3. List of equations in quantum mechanics - Wikipedia

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

    One particle: N particles: One dimension ^ = ^ + = + ^ = = ^ + (,,) = = + (,,) where the position of particle n is x n. = + = = +. (,) = /.There is a further restriction — the solution must not grow at infinity, so that it has either a finite L 2-norm (if it is a bound state) or a slowly diverging norm (if it is part of a continuum): [1] ‖ ‖ = | |.

  4. Glossary of elementary quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_elementary...

    A common example of quantum numbers is the possible state of an electron in a central potential: (,,,), which corresponds to the eigenstate of observables (in terms of ), (magnitude of angular momentum), (angular momentum in -direction), and .

  5. Applications of quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Applications_of_quantum...

    Quantum physics is a branch of modern physics in which energy and matter are described at their most fundamental level, that of energy quanta, elementary particles, and quantum fields. Quantum physics encompasses any discipline concerned with systems that exhibit notable quantum-mechanical effects, where waves have properties of particles, and ...

  6. Quantum fluctuation - Wikipedia

    en.wikipedia.org/wiki/Quantum_fluctuation

    3D visualization of quantum fluctuations of the quantum chromodynamics (QCD) vacuum [1]. In quantum physics, a quantum fluctuation (also known as a vacuum state fluctuation or vacuum fluctuation) is the temporary random change in the amount of energy in a point in space, [2] as prescribed by Werner Heisenberg's uncertainty principle.

  7. Theory of everything - Wikipedia

    en.wikipedia.org/wiki/Theory_of_everything

    Quantum mechanics successfully implemented the Standard Model that describes the three non-gravitational forces: strong nuclear, weak nuclear, and electromagnetic force – as well as all observed elementary particles. [4]: 122 General relativity and quantum mechanics have been repeatedly validated in their separate fields of relevance.

  8. Quantum cosmology - Wikipedia

    en.wikipedia.org/wiki/Quantum_cosmology

    Quantum cosmology [1] [2] is the attempt in theoretical physics to develop a quantum theory of the universe. This approach attempts to answer open questions of classical physical cosmology , particularly those related to the first phases of the universe.

  9. Complementarity (physics) - Wikipedia

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

    Experiments like the quantum eraser verify the key ideas in complementarity; modern exploration of quantum entanglement builds directly on complementarity: [24] The most sensible position, according to quantum mechanics, is to assume that no such waves preexist before any measurement. [24] —