Odisha Staff Selection Commission Assistant Scientific Officer Physics Syllabus
Classical Mechanics –
The Kinematics of Rigid Body Motion, Definition of rigid body, degrees of freedom, orthogonal transformation and properties of transformation matrix. The Euler angles, The Cayley-Klein parameters and related quantities, Euler theorem on the motion of a rigid body. Finite and infinitesimal rotations. Rate of change of Vector. The coriolis force effect.
The rigid body equations of motion. Angular momentum and kinetic energy of motion about a point. Tensors and diadics. The inertia tensor and the moment of inertia. The Eigen values of the intertia tensor and the Principle axis transformation. Euler’s equations of motion. Torque free motion of a rigid body. The heavy symmetric top with one point fixed.
The Hamilton equations of motion. Legendre transformation and the Hamilton equations of motion. Cyclic coordinates and conservation theorem, Routh’s procedure and socillation about steady motion. Derivation of Hamiltion’s equations from a variational principle. The principle of least action.
Canonical Transformation – The equations of canonical transformation and examples. Poisson’s brackets and other canonical invariants. Equations of motion, infinitesimal canonical transformations and conservation theorems in the Poisson bracket formulation. The angular momentum Poisson brackets relations.
Hamiltion-Jocobi Theory – Hamiltion-Jacobi equations for (i) Principla function (ii) Characteristics functions Harmonic oscillator problem as an example of the Hamiltion-Jacobi method, separation of variables in the H-J equation. Action angle variables. The kepler problem in action angle variables.
Methematical Methods-
Differential Equations and their solutions. Power series solution
Quantum Machanics-
Electrodynamics-
Electronics-
Quantum Mechanics
Solid State Physics
Nuclear and Particle Physics
Statistical Mechanics
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