UPPSC Physics Assistant Professor Syllabus, Eligibility – GDC Examination 2025

September 15, 2025

The Uttar Pradesh Public Service Commission (UPPSC) conducts the Assistant Professor – Government Degree College (GDC) Examination 2025 to recruit qualified faculty for government colleges across the state. If you are preparing for the UPPSC Physics Assistant Professor Exam, understanding the detailed syllabus is crucial to plan your preparation effectively.

UPPSC Physics Assistant Professor Syllabus 2025

Unit 1: Mathematical Physics

This unit covers the mathematical foundations required for advanced physics:

  • Vector algebra & calculus – Gauss and Stokes theorems, orthogonal coordinates, differential operators, circular cylindrical & spherical coordinates.

  • Tensor analysis – contraction, direct product, quotient rule, pseudo-tensors, covariant differentiation.

  • Group theory – elements and applications.

  • Differential equations – Legendre, Bessel, Laguerre, Hermite equations and their solutions.

  • Matrices – orthogonal, Hermitian, unitary matrices, eigenvalues, diagonalization.

  • Complex analysis – Cauchy integral theorem, residue theorem, Laurent series.

  • Transforms – Laplace and Fourier transform, delta and Gaussian functions.

Unit 2: Classical Mechanics

Focus on advanced mechanics and motion of systems:

  • Centre of mass, angular momentum, kinetic energy of particle systems.

  • Generalized coordinates, constraints, virtual displacement, D’Alembert’s principle.

  • Lagrangian and Hamiltonian mechanics – equations of motion, cyclic coordinates, generating functions.

  • Rigid body dynamics – Euler’s equations, precession, torque-free motion.

  • Relativity – Lorentz transformation, relativistic Lagrangian mechanics.

  • Scattering theory – Rutherford scattering, cross-section, impact parameter.

Unit 3: Quantum Mechanics

Fundamentals and applications of quantum theory:

  • Schrödinger equation (time-dependent & independent).

  • Eigenvalues/eigenfunctions, harmonic oscillator, hydrogen atom problem.

  • Commutator algebra, operators, matrix representation.

  • Perturbation theory, Born-Oppenheimer approximation, scattering theory.

  • Relativistic quantum mechanics problems.

Unit 4: Electromagnetic Theory

Comprehensive understanding of electromagnetic fields and waves:

  • Maxwell’s equations, vector/scalar potentials, gauge symmetry.

  • Wave propagation in dielectrics, reflection, refraction, dispersion.

  • Waveguides & cavities – propagation modes, resonant modes.

  • Radiation fields – dipole, quadrupole approximation, power radiated.

  • Plasma physics – Debye screening, plasma oscillations, magneto-plasma.

Unit 5: Thermodynamics & Statistical Physics

Study of heat, energy, and statistical ensembles:

  • Laws of thermodynamics, thermodynamic potentials, phase equilibria.

  • Bose and Fermi gases, partition function, distribution functions.

  • Liouville’s theorem, entropy, quantum statistics (B-E, F-D).

  • Black-body radiation, Planck’s formula, Chandrasekhar limit.

Unit 6: Electronics

Understanding of semiconductor devices and circuits:

  • Devices – p-n junction, Zener diode, BJT, FET, SCR, MOSFET.

  • Analog & digital circuits – amplifiers, oscillators, OP-AMPs, multivibrators.

  • Network theorems – Thevenin, Norton, superposition.

  • Communication – AM, FM, PM modulation.

  • Microprocessors, microcontrollers, A/D & D/A converters.

Unit 7: Atomic & Molecular Physics

Study of atomic structure and spectra:

  • Angular momentum, Pauli spin matrices, Clebsch-Gordan coefficients.

  • LS & JJ coupling, Zeeman & Stark effects.

  • Molecular spectra – rotational, vibrational, Raman spectra.

  • Lasers – principles, population inversion, types & applications.

Unit 8: Nuclear & Particle Physics

In-depth study of nuclear models and reactions:

  • Nuclear properties, radiation detectors (GM Counter, Scintillation counters).

  • Shell, Liquid Drop & Collective models.

  • Alpha, Beta, Gamma decay, nuclear reactions & cross-sections.

  • Nuclear forces, meson theory, scattering theories.

  • Elementary particles, quark model, Higgs boson discovery.

Unit 9: Solid State Physics

Covers crystal structure, lattice dynamics, and electronic properties:

  • Bravais lattices, Miller indices, reciprocal lattice, Brillouin zones.

  • Phonons, band theory, Kronig-Penney model, Fermi surface.

  • Superconductivity – Meissner effect, BCS theory, Josephson effect.

  • Magnetism, point defects, phase diagrams, smart materials.

  • Material characterization techniques – XRD, SEM, TEM, AFM, FTIR, Raman.

Unit 10: Topics of Special Interest

Latest developments in physics and applications:

  • Nanomaterials, graphene, carbon nanotubes, quantum confinement.

  • Non-linear optics, metamaterials, self-healing materials.

  • Solar cells, nanogenerators, supercapacitors, biosensors.

  • Optical fibres, superconducting quantum interference devices (SQUIDs).

UPPSC Physics Assistant Professor Eligibility 2025

Option A: Master’s Degree + NET/SET/SLET

A Master’s degree with 55% marks (or equivalent grade) in Physics or a relevant/allied subject from an Indian University,
OR an equivalent degree from an accredited foreign university.

Additionally, candidates must have cleared the National Eligibility Test (NET) conducted by UGC/CSIR or an equivalent accredited test like SLET/SET.

Candidates with a Ph.D. Degree as per UGC Regulations (2009/2016 & amendments) are exempt from NET/SLET/SET, provided they fulfill the following conditions (for Ph.D. registered before July 11, 2009):

  • Ph.D. awarded in regular mode.

  • Thesis evaluated by at least two external examiners.

  • Open Ph.D. viva voce conducted.

  • At least two research papers published from Ph.D. work (one in a refereed journal).

  • At least two papers presented in UGC/ICSSR/CSIR-sponsored seminars/conferences.

Certification must be provided by the Registrar/Dean (Academic Affairs) of the awarding University.

Note: NET/SLET/SET exemption applies to subjects where these tests are not conducted.

Option B: Ph.D. from Top 500 Foreign Universities

A Ph.D. degree from a foreign university/institution ranked among the top 500 in global rankings by:

    • QS (Quacquarelli Symonds)

    • Times Higher Education (THE)

    • Academic Ranking of World Universities (ARWU) by Shanghai Jiao Tong University

Conclusion

The UPPSC Physics Assistant Professor Syllabus 2025 is vast but well-structured, covering the entire spectrum of undergraduate and postgraduate-level physics. A focused, unit-wise preparation plan and consistent practice will help you excel in the Government Degree College Assistant Professor Examination.

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