Transcription of 3. Quantum Gases - University of Cambridge
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3. Quantum Gases - University of Cambridge
3. Quantum GasesIn this section we will discuss situations where Quantum e ects are important. We ll stillrestrict attention to Gases meaning a bunch of particles moving around and barelyinteracting but one of the first things we ll see is how versatile the idea of a gascan be in the Quantum world. We ll use it to understand not just the traditional gasesthat we met in the previous section but also light and, ironically, certain properties ofsolids. In the latter part of this section, we will look at what happens to Gases at lowtemperatures where their behaviour is dominated by Quantum density of StatesWe start by introducing the important concept of the density of states . To illustratethis, we ll return once again to the ideal gas trapped in a box with sides of lengthLand volumeV=L3. Viewed Quantum mechanically, each particle is describedby a wavefunction. We ll impose periodic boundary conditions on this wavefunction(although none of the physics that we ll discuss in this course will be sensitive to thechoice of boundary condition).
3. Quantum Gases In this section we will discuss situations where quantum effects are important. ... is the density of states: g(E)dEcounts the number of states with energy between E ... There is nothing particularly quantum mechanical about the density of states. In-deed, in the derivation above we have replaced the quantum sum with an ...
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ECE3080-L-4-Density of states, Derivation, Density of states, Of states, 1. Boltzmann distribution, Boltzmann distribution, The density of electronic states in, States, Density, Density Matrix, Intrinsic Carrier Concentration, Density states, Quantum Theory of Thermoelectric Power Seebeck, Intrinsiccarrierconcentrationinsemiconductors, Density of States, Fermi Energy and Energy, Handout 7. Entropy