MSc Physics me Classical Mechanics ka syllabus thoda advanced hota hai. Maine aapke liye general universities ka unit-wise syllabus likh diya hai (zyadatar LNMU, DU, BHU, JNU jaise universities me similar hota hai):

MSc Physics – Classical Mechanics Syllabus

Unit 1: Review of Newtonian Mechanics

• Newton’s laws of motion and their limitations
• Inertial & non-inertial reference frames
• Pseudo forces (Coriolis force, centrifugal force)
• Conservation laws: Energy, Linear momentum, Angular momentum
• Two-body problem, Center of mass

Unit 2: Lagrangian Formulation

• Generalized coordinates and constraints
• D’Alembert’s principle
• Lagrange’s equations of motion
• Applications: simple pendulum, double pendulum, Atwood’s machine
• Velocity-dependent potentials
• Symmetry and conservation laws (Noether’s theorem basic idea)

Unit 3: Hamiltonian Formulation

• Hamilton’s principle (principle of least action)
• Legendre transformation
• Hamilton’s canonical equations
• Applications: harmonic oscillator, central force motion
• Poisson brackets and their properties
• Canonical transformations

Unit 4: Central Force Problem

• Reduction to one-body problem
• Equations of motion in central force field
• Effective potential and classification of orbits
• Kepler’s laws of planetary motion
• Scattering in central force field – Rutherford scattering

Unit 5: Rigid Body Dynamics

• Degrees of freedom of a rigid body
• Euler angles
• Rotational kinetic energy
• Inertia tensor, principal axes of inertia
• Euler’s equations of motion
• Motion of a symmetric top under gravity

Unit 6: Small Oscillations

• Theory of small oscillations
• Normal modes and eigenfrequencies
• Coupled oscillators (two coupled pendulums, vibrations of molecules)

Unit 7: Non-linear Dynamics and Chaos

• Qualitative ideas of non-linear equations
• Phase space and trajectories
• Stability of motion
• Chaos in dynamical systems (simple examples: logistic map, driven pendulum)
• Yehi syllabus Classical Mechanics ka MSc Physics level pe padhaya jata hai.
• BSc level pe jo hum Newton’s mechanics padhte the, uska advanced and generalized version MSc me padhte hain.