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  2. Quantum potential - Wikipedia

    en.wikipedia.org/wiki/Quantum_potential

    The quantum potential or quantum potentiality is a central concept of the de Broglie–Bohm formulation of quantum mechanics, introduced by David Bohm in 1952.. Initially presented under the name quantum-mechanical potential, subsequently quantum potential, it was later elaborated upon by Bohm and Basil Hiley in its interpretation as an information potential which acts on a quantum particle.

  3. Potential well - Wikipedia

    en.wikipedia.org/wiki/Potential_well

    Energy may be released from a potential well if sufficient energy is added to the system such that the local maximum is surmounted. In quantum physics, potential energy may escape a potential well without added energy due to the probabilistic characteristics of quantum particles; in these cases a particle may be imagined to tunnel through the walls of a potential well.

  4. Particle in a one-dimensional lattice - Wikipedia

    en.wikipedia.org/wiki/Particle_in_a_one...

    Assuming the spacing between two ions is a, the potential in the lattice will look something like this: The mathematical representation of the potential is a periodic function with a period a. According to Bloch's theorem, [1] the wavefunction solution of the Schrödinger equation when the potential is periodic, can be written as:

  5. 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] ‖ ‖ = | |.

  6. Particle in a box - Wikipedia

    en.wikipedia.org/wiki/Particle_in_a_box

    However, since the particle is not entirely free but under the influence of a potential, the energy of the particle is = +, where T is the kinetic and V the potential energy. Therefore, the energy of the particle given above is not the same thing as E = p 2 / 2 m {\displaystyle E=p^{2}/2m} (i.e. the momentum of the particle is not given by p ...

  7. Rayleigh's quotient in vibrations analysis - Wikipedia

    en.wikipedia.org/wiki/Rayleigh's_quotient_in...

    In the previous equation it is also possible to observe that the numerator is proportional to the potential energy while the denominator depicts a measure of the kinetic energy. Moreover, the equation allow us to calculate the natural frequency only if the eigenvector (as well as any other displacement vector) u m {\displaystyle {\textbf {u ...

  8. List of unsolved problems in physics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    However, it is unclear what mechanism causes those particles to initially have energies high enough for Fermi acceleration to work on them. [94] Alfvénic turbulence: In the solar wind and the turbulence in solar flares, coronal mass ejections, and magnetospheric substorms are major unsolved problems in space plasma physics. [95]

  9. Quantum tunnelling - Wikipedia

    en.wikipedia.org/wiki/Quantum_tunnelling

    In physics, quantum tunnelling, barrier penetration, or simply tunnelling is a quantum mechanical phenomenon in which an object such as an electron or atom passes through a potential energy barrier that, according to classical mechanics, should not be passable due to the object not having sufficient energy to pass or surmount the barrier.

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