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Chapter 3 Symmetry in quantum mechanics
Chapter 3 Symmetry in quantum mechanics

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WAVE PARTICLE DUALITY, THE OBSERVER AND

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Quantum Interference 3 Claude Cohen-Tannoudji Scott Lectures Cambridge, March 9

... /2), one is sure that Sz is equal to -1 for the second spin. Idem if one measures Sx or Sy (Isotropy of the singlet state). Einstein, Podolsky et Rosen (1935) conclude that the quantum description of phenomena is incomplete. Their argument: measuring Sz or Sx on the first spin does not influence th ...
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... character and the problem must be treated accordingly [20,21]. The physical properties of any quantum particle for open quantum systems are much more complicated due to having strongly time and position dependant energies; potential, kinetic or overall mechanical energy. The exchange energy, of the ...
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Identical particles

Identical particles, also called indistinguishable or indiscernible particles, are particles that cannot be distinguished from one another, even in principle. Species of identical particles include, but are not limited to elementary particles such as electrons, composite subatomic particles such as atomic nuclei, as well as atoms and molecules. Quasiparticles also behave in this way. Although all known indistinguishable particles are ""tiny"", there is no exhaustive list of all possible sorts of particles nor a clear-cut limit of applicability; see particle statistics #Quantum statistics for detailed explication.There are two main categories of identical particles: bosons, which can share quantum states, and fermions, which do not share quantum states due to the Pauli exclusion principle. Examples of bosons are photons, gluons, phonons, helium-4 nuclei and all mesons. Examples of fermions are electrons, neutrinos, quarks, protons, neutrons, and helium-3 nuclei.The fact that particles can be identical has important consequences in statistical mechanics. Calculations in statistical mechanics rely on probabilistic arguments, which are sensitive to whether or not the objects being studied are identical. As a result, identical particles exhibit markedly different statistical behavior from distinguishable particles. For example, the indistinguishability of particles has been proposed as a solution to Gibbs' mixing paradox.
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