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6.1.5. Number Representation: Operators
6.1.5. Number Representation: Operators

Modified from College Physics, 8th Ed., Serway and Vuille. For the
Modified from College Physics, 8th Ed., Serway and Vuille. For the

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... A particle has an intrinsic spin angular momentum Spin ½ particles: Electrons, protons, neutrons and neutrinos all have an intrinsic spin characterised by the quantum number s = 1/2 Particles with half-integer spin (1/2, 3/2, 5/2, …) are called Fermions ...
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... quantum effects become more noticeable at low temperatures. Here we apply techniques introduced in the last chapter to quantum models of solids and radiation. These applications are singularly important. Application: Simple Models of Solids A solid material was profitably viewed as an assembly of cl ...
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... In the cloud, particles would move around and collide with each other. Collisions dissipate away energy from the cloud (unless they are completely elastic) and increase the binding energy. Due to the negative heat capacity nature of a self-gravitating system the cloud ‘heats’ up when it loses energy ...
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Chapter 17 - Probing Deep into Matter

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printable version - Gosford Hill School

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Announcement Station #2 Stars Lecture 9 Basic Physics The Laws

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Quantum Theory

< 1 ... 156 157 158 159 160 161 162 163 164 ... 171 >

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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