Classical and Statistical Mechanics (B.Sc Physics)

Lagrangian and Hamiltonian mechanics, central forces, and Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics.

6 महीनेअवधि 6Chapters27टॉपिक

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01Unit 1: Constraints and Lagrangian Formulation 5 टॉपिक

Constraints: holonomic and non-holonomic
Degrees of freedom and generalised coordinates
D'Alembert's principle
Lagrange's equations
Applications: simple pendulum, Atwood's machine

02Unit 2: Hamiltonian Formulation 4 टॉपिक

Hamilton's principle and calculus of variations
Hamiltonian and Hamilton's equations
Cyclic coordinates and conservation laws
Poisson brackets

03Unit 3: Central Force Motion 4 टॉपिक

Reduction of the two-body problem; reduced mass
Effective potential
Equation of the orbit
Kepler problem

04Unit 4: Basics of Statistical Mechanics 5 टॉपिक

Macrostates and microstates
Phase space
Thermodynamic probability
Entropy and probability: S = k ln W
Ensembles

05Unit 5: Maxwell-Boltzmann Statistics 4 टॉपिक

MB distribution law
Partition function
Ideal gas and equipartition
Limitations of classical statistics

06Unit 6: Quantum Statistics 5 टॉपिक

Bose-Einstein statistics
Photon gas and Planck's law
Fermi-Dirac statistics
Free electron gas and Fermi energy
Comparison of MB, BE and FD statistics

परिचय

आप यह कर पाएँगे

Identify constraints and choose generalised coordinates
Set up and solve Lagrange's and Hamilton's equations for simple systems
Solve the two-body central force problem using reduced mass
Count microstates and relate entropy to probability
Apply MB, BE and FD statistics to gases, photons and electrons

यह किसके लिए है

B.Sc students with Physics, Semester 5 (UP state universities, NEP 2020)
Students preparing for university semester exams and entrance tests such as IIT-JAM / CUET-PG (basic level)

आपको क्या चाहिए

Enrolled in B.Sc with Physics as a major subject
Class 12 Physics and Mathematics
Scientific calculator
Mechanics (Semester 1) and thermal physics (Semester 2)

सवाल

Which syllabus does this course follow?

It follows the UP State Universities NEP 2020 common minimum syllabus for B.Sc. Where your own university's syllabus differs, the centre teaches your university's units and papers.

Are numericals practised?

Yes. Every unit has solved examples and practice numericals at university exam level.

Is the Lagrangian part hard?

It becomes easy with practice; the trainer solves the standard problems (pendulum, Atwood machine, bead on wire) step by step.