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Krishna University Syllabus of M. Nesting of functions. Addition of angular momenta. Wigner-Eckart theorem. Correspondence with classical mechanics. The indistinguishability of identical particles — The state vector space for a system of identical particles — Creation and annihilation operators. Dynamical variables — the Quantum dynamics of identical particle systems.
Contact between statistics and thermodynamics, Postulate of classical statistical mechanics, phase space, trajectories — Ensembles — micro canonical, canonical and grand canonical. Unit-III Canonical ensemble — ensemble density — partition function — Energy fluctuations in canonical ensemble — Grand canonical ensemble — Density fluctuations in the Grand canonical ensemble — Equivalence between the canonical ensemble and Grand canonical ensemble.
Quantum Statistical Mechanics Unit-IV Postulates of quantum statistical mechanics — Density matrix — Ensembles in quantum statistics — statistics of indistinguishable particles, Maxwell — Boltzmann, Bose- Einstein and Fermi — Dirac statistics, Thermodynamic properties of ideal gases on the basis of micro canonical and grand canonical ensemble. The partition function: Derivation of canonical ensemble using Darwin and Fowler method.
Geometrical structure Factor, Determination of number of atoms in a cell position of atoms. Reciprocal lattice, Brillouin Zone, Reciprocal lattice to bcc and fcc lattices. Unit-V Band Theory of Solids Nearly free electron model, Origin of the energy gap, The Block theorem, Kronig-Penney Model, wave equation of electron in a periodic potential, Crystal momentum of an electron Approximate solution near a zone boundary, Number of orbitals in a band — metals and isolators.
The distinction between metals, insulators and semiconductors.
BSC BZC SYLLABUS PDF
Krishna University Syllabus of M. Nesting of functions. Addition of angular momenta. Wigner-Eckart theorem. Correspondence with classical mechanics.
After bsc Bzc courses
Bachelor of Science [B. D in Education M. Sc Mathematics, Physics and Chemistry B. Phil in Agriculture M.