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kidsasd987
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http://ecee.colorado.edu/~bart/book/book/chapter2/pdf/ch2_5_5.pdfcan you please tell me where f/(f(gi,fi) is from?
and also how to get to (2.5.13)
and also how to get to (2.5.13)
kidsasd987 said:can you please tell me where f/(f(gi,fi) is from?
and also how to get to (2.5.13)
pellman said:I don't see the expression in the text. Where is it?
kidsasd987 said:sorry, it should be eq(2.5.12), f/f(gifi).
Also, can you tell me what variable do we take if we find a derivative of eq 2.5.12
The Fermi-Dirac distribution is a probability distribution that describes the distribution of particles in a system that obeys the principles of quantum mechanics. It was derived by physicists Enrico Fermi and Paul Dirac in the 1920s and is used to describe the behavior of fermions, which are particles with half-integer spin.
The Fermi-Dirac distribution is an essential tool in understanding the behavior of particles in quantum systems, such as electrons in a solid material. It allows us to calculate the probability of finding a particle at a specific energy level and to predict the overall behavior of a system of particles.
The Fermi-Dirac distribution is derived using statistical mechanics and the principles of quantum mechanics. It involves applying the concept of the Pauli exclusion principle, which states that no two fermions can occupy the same quantum state simultaneously. By considering all possible ways in which fermions can be distributed among energy levels, the distribution can be derived.
The Fermi-Dirac distribution and the Maxwell-Boltzmann distribution are both probability distributions used to describe the behavior of particles. However, the Fermi-Dirac distribution is specific to fermions, while the Maxwell-Boltzmann distribution is used for particles with integer spin, known as bosons. Additionally, the Fermi-Dirac distribution takes into account the Pauli exclusion principle, while the Maxwell-Boltzmann distribution does not.
The Fermi-Dirac distribution has many practical applications in fields such as solid-state physics, semiconductor technology, and astrophysics. It is used to model the behavior of electrons in materials, which is crucial in the design of electronic devices. Additionally, it is used in understanding the properties of white dwarfs, neutron stars, and other dense astronomical objects.