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  2. Matter wave - Wikipedia

    en.wikipedia.org/wiki/Matter_wave

    The concept that matter behaves like a wave was proposed by French physicist Louis de Broglie (/ d ə ˈ b r ɔɪ /) in 1924, and so matter waves are also known as de Broglie waves. The de Broglie wavelength is the wavelength , λ , associated with a particle with momentum p through the Planck constant , h : λ = h p . {\displaystyle \lambda ...

  3. Schrödinger equation - Wikipedia

    en.wikipedia.org/wiki/Schrödinger_equation

    The equation was postulated by Schrödinger based on a postulate of Louis de Broglie that all matter has an associated matter wave. The equation predicted bound states of the atom in agreement with experimental observations. [ 4 ] :

  4. Wave function - Wikipedia

    en.wikipedia.org/wiki/Wave_function

    The wave function of an initially very localized free particle. In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common symbols for a wave function are the Greek letters ψ and Ψ (lower-case and capital psi, respectively). Wave functions are complex ...

  5. Dispersion relation - Wikipedia

    en.wikipedia.org/wiki/Dispersion_relation

    Elementary particles, considered as matter waves, have a nontrivial dispersion relation, even in the absence of geometric constraints and other media. In the presence of dispersion, a wave does not propagate with an unchanging waveform, giving rise to the distinct frequency-dependent phase velocity and group velocity .

  6. Relativistic wave equations - Wikipedia

    en.wikipedia.org/wiki/Relativistic_wave_equations

    In physics, specifically relativistic quantum mechanics (RQM) and its applications to particle physics, relativistic wave equations predict the behavior of particles at high energies and velocities comparable to the speed of light. In the context of quantum field theory (QFT), the equations determine the dynamics of quantum fields.

  7. Planck relation - Wikipedia

    en.wikipedia.org/wiki/Planck_relation

    The de Broglie relation, [10] [11] [12] also known as de Broglie's momentum–wavelength relation, [4] generalizes the Planck relation to matter waves. Louis de Broglie argued that if particles had a wave nature, the relation E = hν would also apply to them, and postulated that particles would have a wavelength equal to λ = ⁠ h / p ⁠.

  8. Atom interferometer - Wikipedia

    en.wikipedia.org/wiki/Atom_interferometer

    An atom interferometer uses the wave-like nature of atoms in order to produce interference. In atom interferometers, the roles of matter and light are reversed compared to the laser based interferometers, i.e. the beam splitter and mirrors are lasers while the source emits matter waves (the atoms) rather than light.

  9. Probability amplitude - Wikipedia

    en.wikipedia.org/wiki/Probability_amplitude

    A wave function for a single electron on 5d atomic orbital of a hydrogen atom. The solid body shows the places where the electron's probability density is above a certain value (here 0.02 nm −3): this is calculated from the probability amplitude. The hue on the colored surface shows the complex phase of the wave function.