Statistics of interacting identical particles (=when their wave functions overlap). In the most restricted usage in quantum mechanics, the wavefunction associated with a particle such as an electron, is a complex-valued square integrable function ψ defined over a portion of space normalized in such a way that In Max Borns probabilistic interpretation of the wavefunction, the amplitude squared...
Definition of wave function in quantum mechanics results in two distinct statistics of identical particles (depending on their spin) - Fermi-Dirac statistics (for semi-integer spin particles which are called fermions) and Bose-Einstein statistics (for integer spin particles which are called bosons). In the most restricted usage in quantum mechanics, the wavefunction associated with a particle such as an electron, is a complex-valued square integrable function ψ defined over a portion of space normalized in such a way that In Max Borns probabilistic interpretation of the wavefunction, the amplitude squared... A simple introduction to this subject is provided in Basics of quantum mechanics. ... The terms spin and SPIN have several meanings, including those primarily discussed as spinning: For spin in sub-atomic physics, see spin (physics) For the stalled aircraft maneuver or any of several forms of loss of control in aircraft, see spin (flight) For the periodical, see Spin Magazine For the... Fermi-Dirac statistics - Wikipedia, the free encyclopedia /**/ @import /skins-1. ... Fermions, named after Enrico Fermi, are particles which form totally-antisymmetric composite quantum states. ... In statistical mechanics, Bose-Einstein statistics determines the statistical distribution of identical indistinguishable bosons over the energy states in thermal equilibrium. ... The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. ... Boson (game) Bosons, named after Satyendra Nath Bose, are particles which form totally-symmetric composite quantum states. ...
In case of large separation of identical particles (wave functions do not overlap) both statistics result in the same Boltzmann statistics (which sometimes is called classical statistics as a limiting case of quantum ones). In statistics, confidence intervals are the most prevalent form of interval estimation. ...
quantum theory modern physical theory concerned with the emission and absorption of energy by matter and with the motion of material particles; the quantum theory and the theory of relativity together form the theoretical basis of modern physics.
Aspects of the quantum theory have provoked vigorous philosophical debates concerning, for example, the uncertainty principle and the statistical nature of all the predictions of the theory.
Quantum mechanics was combined with the theory of relativity in the formulation of P. Dirac (1928), which, in addition, predicted the existence of antiparticles.
According to the quantum theory, energy is emitted and absorbed in a small packet, called a quantum (pl. quanta), which in some situations behaves as particles of matter do; particles exhibit certain wavelike properties when in motion and are no longer viewed as localized in a given region but as spread out to some degree.
Quantum mechanics is needed to explain many properties of matter, such as the temperature dependence of the specific heat of solids, as well as when very small quantities of matter or energy are involved, as in the interaction of elementary particles and fields, but the theory of
Niels Bohr used the quantum theory in 1913 to explain both atomic structure and atomic spectra, showing the connection between the energy levels of an atom's electrons and the frequencies of light given off and absorbed by the atom.
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