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  2. Zero-point energy - Wikipedia

    en.wikipedia.org/wiki/Zero-point_energy

    The zero point oscillations act on an electron in the same way as ordinary electrical oscillations do. They can change the eigenstate of the electron, but only in a transition to a state with the lowest energy, since empty space can only take away energy, and not give it up.

  3. Quantum harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Quantum_harmonic_oscillator

    Third, the lowest achievable energy (the energy of the n = 0 state, called the ground state) is not equal to the minimum of the potential well, but ħω/2 above it; this is called zero-point energy. Because of the zero-point energy, the position and momentum of the oscillator in the ground state are not fixed (as they would be in a classical ...

  4. Lamb shift - Wikipedia

    en.wikipedia.org/wiki/Lamb_shift

    In quantum electrodynamics the electromagnetic field is quantized and, like the harmonic oscillator in quantum mechanics, its lowest state is not zero. Thus, there exist small zero-point oscillations that cause the electron to execute rapid oscillatory motions.

  5. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    A simple harmonic oscillator is an oscillator that is neither driven nor damped.It consists of a mass m, which experiences a single force F, which pulls the mass in the direction of the point x = 0 and depends only on the position x of the mass and a constant k.

  6. Quantum vacuum state - Wikipedia

    en.wikipedia.org/wiki/Quantum_vacuum_state

    The video of an experiment showing vacuum fluctuations (in the red ring) amplified by spontaneous parametric down-conversion.. If the quantum field theory can be accurately described through perturbation theory, then the properties of the vacuum are analogous to the properties of the ground state of a quantum mechanical harmonic oscillator, or more accurately, the ground state of a measurement ...

  7. Pycnonuclear fusion - Wikipedia

    en.wikipedia.org/wiki/Pycnonuclear_fusion

    'dense, compact, thick') is a type of nuclear fusion reaction which occurs due to zero-point oscillations of nuclei around their equilibrium point bound in their crystal lattice. [1] [2] In quantum physics, the phenomenon can be interpreted as overlap of the wave functions of neighboring ions, and is proportional to the overlapping amplitude. [3]

  8. File:Zero-point energy of harmonic oscillator.svg - Wikipedia

    en.wikipedia.org/wiki/File:Zero-point_energy_of...

    English: Vectorization of File:Zero-point energy of harmonic oscillator.png with background removed. Original Description: The oscillator consists of an electron attached to an ideal, frictionless spring. When the electron is set in motion, it oscillates about its point of equilibrium, emitting electromagnetic radiation at the frequency of ...

  9. Franck–Condon principle - Wikipedia

    en.wikipedia.org/wiki/Franck–Condon_principle

    In the semiclassical picture of vibrations (oscillations) of a simple harmonic oscillator, the necessary conditions can occur at the turning points, where the momentum is zero. Classically, the Franck–Condon principle is the approximation that an electronic transition is most likely to occur without changes in the positions of the nuclei in ...