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  2. Quantum - Wikipedia

    en.wikipedia.org/wiki/Quantum

    Quantum is a discrete quantity of energy proportional in magnitude to the frequency of the radiation it represents. The fundamental notion that a property can be "quantized" is referred to as "the hypothesis of quantization ". [ 1 ]

  3. 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.

  4. Energy operator - Wikipedia

    en.wikipedia.org/wiki/Energy_operator

    In quantum mechanics, energy is defined in terms of the energy operator, acting on the wave function of the system as a consequence of time translation symmetry. Definition [ edit ]

  5. Zero-point energy - Wikipedia

    en.wikipedia.org/wiki/Zero-point_energy

    Zero-point energy (ZPE) is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly fluctuate in their lowest energy state as described by the Heisenberg uncertainty principle. [1] Therefore, even at absolute zero, atoms and molecules retain some vibrational motion.

  6. Introduction to quantum mechanics - Wikipedia

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

    The idea of quantum field theory began in the late 1920s with British physicist Paul Dirac, when he attempted to quantize the energy of the electromagnetic field; just as in quantum mechanics the energy of an electron in the hydrogen atom was quantized. Quantization is a procedure for constructing a quantum theory starting from a classical theory.

  7. Quantization (physics) - Wikipedia

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

    The energy quantum referred to in this paper was later called "photon". In July 1913, Niels Bohr used quantization to describe the spectrum of a hydrogen atom in his paper "On the constitution of atoms and molecules". The preceding theories have been successful, but they are very phenomenological theories.

  8. 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.

  9. Energy - Wikipedia

    en.wikipedia.org/wiki/Energy

    In quantum mechanics, energy is defined in terms of the energy operator (Hamiltonian) as a time derivative of the wave function. The Schrödinger equation equates the energy operator to the full energy of a particle or a system. Its results can be considered as a definition of measurement of energy in quantum mechanics.