aassical and Quantum Statistical mechanics By Sayantan Bhattacharya
Content . Cassical and Quantum Theory . Cassical and Quantum Statistical Mechanics . Maxwell -Boltzmann Statistics . Fermi-Dirac Statistics . Bose-Enstein Satistics
Cassical and Quantum Cassical regime is defined by it's distinguishbility ,it has larger size, finite position and velocity. Everything can be measured specifically . Whereas, Quantum regime is defined by it's indistinguishblity. Every property of a quantum particle is defined by it's uncertainty.
Qassical and Quantum SV In the case of Statistical mechanics, similarly we have two regimes: Cassical and quantum. In Gassical statisticsthe particles are distinguishable. In Quantum statistics the particles are indistinguishable.
Maxwell-Boltzmann Satistics . The statistical mechanics of Oassical particles is called the Maxwell- Boltzmann statistics. The number of particle in ith state is given by, Where, kT
Fermi-Dirac Statistics The statistical mechanics of spin 12 quantum(in-distinguishable) particles are given by Fermi-Dirac Statistics. The number of particles in the ith state is given by:
Bose-Enstein Satistics The Satistical mechanics of a quantum (in-distinguishable) integer spin particles or ideal Bose gas is given by Bose Enstein statistics. The number of particles in the ith energy state is given by: g i
Conclusion . We have learned the difference between Gassical and Quantum regime. How this effect the corresponding statistical mechanics. . The number of particles in different distributions.i.e M-B,FD,B-E distribution.
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"Educating India For a Better Tomorrow" ||Ph.D student,U mass Lowell,Massachusetts,USA|| M.Sc,University Of Hyderabad,2018|| B.Sc,B.H.U,2016