| Sections |
Subjects |
| Part 1: Mathematical Physics |
Vector Calculus: Linear vector house: foundation, orthogonality, and completeness; matrices; similarity transformations, diagonalization, eigenvalues, and eigenvectors; linear differential equations: second-order linear differential equations and options involving particular capabilities; advanced evaluation: Cauchy-Riemann situations, Cauchy’s theorem, singularities, residue theorem and functions; Laplace remodel, Fourier evaluation; elementary concepts about tensors: covariant and contravariant tensors. |
| Part 2: Classical Mechanics |
Lagrangian Formulation: D’Alembert’s precept, Euler-Lagrange equation, Hamilton’s precept, calculus of variations; symmetry and conservation legal guidelines; central power movement: Kepler drawback and Rutherford scattering; small oscillations: coupled oscillations and regular modes; inflexible physique dynamics: inertia tensor, orthogonal transformations, Euler angles, torque-free movement of a symmetric prime; Hamiltonian and Hamilton’s equations of movement; Liouville’s theorem; canonical transformations: action-angle variables, Poisson brackets, Hamilton-Jacobi equation. Particular Principle of Relativity: Lorentz transformations, relativistic kinematics, mass-energy equivalence. |
| Part 3: Electromagnetic Principle |
Options of electrostatic and magnetostatic issues together with boundary worth issues; technique of pictures; separation of variables; dielectrics and conductors; magnetic supplies; multipole growth; Maxwell’s equations; scalar and vector potentials; Coulomb and Lorentz gauges; electromagnetic waves in free house, non-conducting and conducting media; reflection and transmission at regular and indirect incidences; polarization of electromagnetic waves; Poynting vector, Poynting theorem, vitality and momentum of electromagnetic waves; radiation from a transferring cost. |
| Part 4: Quantum Mechanics |
Postulates of quantum mechanics; uncertainty precept; Schrodinger equation; Dirac Bra-Ket notation, linear vectors and operators in Hilbert house; one-dimensional potentials: step potential, finite rectangular properly, tunneling from a possible barrier, particle in a field, harmonic oscillator; two and three-dimensional programs: idea of degeneracy; hydrogen atom; angular momentum and spin; addition of angular momenta; variational technique and WKB approximation, time-independent perturbation principle; elementary scattering principle, Born approximation; symmetries in quantum mechanical programs. |
| Part 5: Thermodynamics and Statistical Physics |
Legal guidelines of thermodynamics; macrostates and microstates; section house; ensembles; partition operate, free vitality, calculation of thermodynamic portions; classical and quantum statistics; degenerate Fermi gasoline; black physique radiation and Planck’s distribution regulation; Bose-Einstein condensation; first and second-order section transitions, section equilibria, vital level. |
| Part 6: Atomic and Molecular Physics |
Spectra of one- and many-electron atoms; spin-orbit interplay: LS and JJ couplings; high-quality and hyperfine buildings; Zeeman and Stark results; electrical dipole transitions and choice guidelines; rotational and vibrational spectra of diatomic molecules; digital transitions in diatomic molecules, Franck-Condon precept; Raman impact; EPR, NMR, ESR, X-ray spectra; lasers: Einstein coefficients, inhabitants inversion, two and three-level programs. |
| Part 7: Stable State Physics |
Components of crystallography; diffraction strategies for construction dedication; bonding in solids; lattice vibrations and thermal properties of solids; free electron principle; band principle of solids: practically free electron and tight binding fashions; metals, semiconductors, and insulators; conductivity, mobility, and efficient mass; optical properties of solids; Kramer’s-Kronig relation, intra- and inter-band transitions; dielectric properties of solids; dielectric operate, polarizability, ferroelectricity; magnetic properties of solids; dia, para, ferro, antiferro, and ferri-magnetism, domains and magnetic anisotropy; superconductivity: Sort-I and Sort-II superconductors, Meissner impact, London equation, BCS Principle, flux quantization. |
| Part 8: Electronics |
Semiconductors in Equilibrium: Electron and gap statistics in intrinsic and extrinsic semiconductors; metal-semiconductor junctions; Ohmic and rectifying contacts; PN diodes, bipolar junction transistors, area impact transistors; unfavorable and constructive suggestions circuits; oscillators, operational amplifiers, lively filters; fundamentals of digital logic circuits, combinational and sequential circuits, flip-flops, timers, counters, registers, A/D and D/A conversion. |
| Part 9: Nuclear and Particle Physics |
Nuclear radii and cost distributions, nuclear binding vitality, electrical and magnetic moments; semi-empirical mass components; nuclear fashions: liquid drop mannequin, nuclear shell mannequin; nuclear power and two-nucleon drawback; alpha decay, beta-decay, electromagnetic transitions in nuclei; Rutherford scattering, nuclear reactions, conservation legal guidelines; fission and fusion; particle accelerators and detectors; elementary particles: photons, baryons, mesons, and leptons; quark mannequin; conservation legal guidelines, isospin symmetry, cost conjugation, parity and time-reversal invariance. |
