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  2. Ground state - Wikipedia

    en.wikipedia.org/wiki/Ground_state

    The ground state of a quantum-mechanical system is its stationary state of lowest energy; the energy of the ground state is known as the zero-point energy of the system. An excited state is any state with energy greater than the ground state. In quantum field theory, the ground state is usually called the vacuum state or the vacuum.

  3. Variational method (quantum mechanics) - Wikipedia

    en.wikipedia.org/wiki/Variational_method...

    The ground state energy would then be 8E 1 = −109 eV, where E 1 is the Rydberg constant, and its ground state wavefunction would be the product of two wavefunctions for the ground state of hydrogen-like atoms: [2]: 262 (,) = (+) /. where a 0 is the Bohr radius and Z = 2, helium's nuclear charge.

  4. 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 ...

  5. QED vacuum - Wikipedia

    en.wikipedia.org/wiki/QED_vacuum

    The QED vacuum or quantum electrodynamic vacuum is the field-theoretic vacuum of quantum electrodynamics. It is the lowest energy state (the ground state ) of the electromagnetic field when the fields are quantized . [ 1 ]

  6. Perturbation theory (quantum mechanics) - Wikipedia

    en.wikipedia.org/wiki/Perturbation_theory...

    Perturbation theory is an important tool for describing real quantum systems, as it turns out to be very difficult to find exact solutions to the Schrödinger equation for Hamiltonians of even moderate complexity.

  7. Geometrical frustration - Wikipedia

    en.wikipedia.org/wiki/Geometrical_frustration

    Each O–O bond has two positions for a proton, leading to 2 2N possible configurations. However, among the 16 possible configurations associated with each oxygen, only 6 are energetically favorable, maintaining the H 2 O molecule constraint. Then an upper bound of the numbers that the ground state can take is estimated as Ω < 2 2N (⁠ 6 / 16 ...

  8. Electron-on-helium qubit - Wikipedia

    en.wikipedia.org/wiki/Electron-on-Helium_Qubit

    The binding energies of the ground (n = 1) and first excited (n = 2) states are -7.6 K and -1.9 K respectively and, as the energy required for excitation is higher than the typical experimental temperature (1 K), the electron remains in the ground state, trapped several nanometres above the liquid surface. The first spectroscopic evidence for ...

  9. List of states of matter - Wikipedia

    en.wikipedia.org/wiki/List_of_states_of_matter

    Fractional Chern insulator: A generalization of fractional quantum Hall state to electrons on a lattice. Berezinskii-Kosterlitz-Thouless state: A 2D state with unbound vortex-antivortex pairs. String-net liquid: Atoms in this state have unstable arrangements, like a liquid, but are still consistent in the overall pattern, like a solid ...