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Modern Physics & Quantum Mechanics
Free PDF Notes — CSIR NET · IIT JAM · GATE
9 complete units covering the entire Quantum Mechanics syllabus — from Hilbert Space and Dirac notation through Schrodinger equation, angular momentum, hydrogen atom, perturbation theory, identical particles, and Modern Physics. 42 chapter slots, 7 PDFs live now. 100% free.
7 PDFs available now — Units 1 and 2 are fully uploaded. Remaining units are being added progressively. Bookmark this page, or register for a free demo class to access complete study material immediately.
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Unit 1: Tools of Quantum Mechanics
6 PDFsHilbert Space, Dirac bra-ket notation, linear operators and matrices, commutators, and probability density. The mathematical framework that underpins all of Quantum Mechanics — essential for CSIR NET and IIT JAM.
Unit 2: Postulates of Quantum Mechanics
1 PDFsThe fundamental postulates governing quantum systems: state vectors, observables, measurement, eigenvalues of Hermitian operators, and time evolution of quantum states via the Schrodinger equation.
Unit 3: Schrodinger Equation and Wave Mechanics
0/5 AvailableTime-dependent and time-independent Schrodinger equation, probability current, stationary states, wave function normalization, expectation values, Ehrenfest theorem, and free particle wave packet.
Unit 4: One-Dimensional Problems
0/6 AvailableParticle in a box (infinite and finite), potential step, rectangular barrier, tunneling and WKB approximation, harmonic oscillator (operator method), and delta function potential.
Unit 5: Angular Momentum and Spin
0/5 AvailableOrbital angular momentum operators, eigenvalues and eigenfunctions, spherical harmonics, spin-1/2 system, Pauli matrices, addition of angular momenta, Clebsch-Gordan coefficients.
Unit 6: Hydrogen Atom and Central Potential
0/4 AvailableSchrodinger equation in spherical coordinates, radial equation for hydrogen, energy levels, wave functions, quantum numbers (n, l, m), degeneracy, and probability distributions for hydrogen orbitals.
Unit 7: Perturbation Theory
0/6 AvailableTime-independent perturbation theory (non-degenerate and degenerate), first and second order corrections, fine structure of hydrogen, Zeeman effect, Stark effect, and variational principle.
Unit 8: Identical Particles and Quantum Statistics
0/3 AvailableBosons and fermions, exchange symmetry, Pauli exclusion principle, symmetric and antisymmetric wave functions, Slater determinant, and connection to quantum statistics (Fermi-Dirac and Bose-Einstein).
Unit 9: Modern Physics
0/6 AvailableBlackbody radiation and Planck’s law, photoelectric effect, Compton scattering, de Broglie hypothesis, wave-particle duality, Bohr model of hydrogen, Davisson-Germer experiment, and X-ray spectra.
Modern Physics and Quantum Mechanics for CSIR NET, IIT JAM and GATE
Quantum Mechanics is the single most important and deeply tested topic in CSIR NET Physical Sciences. It consistently dominates Part C, where 5-8 questions at the highest difficulty level test Dirac notation, perturbation theory, angular momentum, and identical particles. In IIT JAM Physics, Modern Physics and Quantum Mechanics together contribute 20-25% of total marks, covering wave-particle duality, Bohr model, Schrodinger equation, and 1D problems. For GATE Physics and JEST/TIFR, QM is the deepest and most differentiating topic — mastering it is the clearest path to a top rank.
Pravegaa Education’s free Quantum Mechanics PDFs are organized in 9 logical units that build progressively from the mathematical foundations (Hilbert space, Dirac notation) through the full QM syllabus up to perturbation theory and identical particles. Every PDF is written for Griffiths-level conceptual depth calibrated to what actually appears in competitive exam papers.
High-Priority Units for CSIR NET
- Unit 7 — Perturbation Theory: Non-degenerate and degenerate PT, fine structure, Zeeman and Stark effects appear in almost every CSIR NET Part C paper.
- Unit 5 — Angular Momentum and Spin: Clebsch-Gordan coefficients, addition of angular momenta, and spin-1/2 systems are tested at advanced levels.
- Unit 1 — Tools of QM: Dirac notation, operator algebra, and commutator problems are standard CSIR NET questions.
- Unit 8 — Identical Particles: Bosons, fermions, and Slater determinant problems appear in CSIR NET Part C.
High-Priority Units for IIT JAM Physics
- Unit 9 — Modern Physics: Photoelectric effect, Compton scattering, de Broglie, and Bohr model problems appear in every IIT JAM paper.
- Unit 4 — 1D Problems: Particle in a box, harmonic oscillator, and tunneling are high-frequency IIT JAM topics.
- Unit 3 — Schrodinger Equation: Wave function normalization, expectation values, and stationary states are core IIT JAM QM topics.
- Unit 6 — Hydrogen Atom: Energy levels, quantum numbers, and orbital probabilities are tested in IIT JAM.
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Pravegaa Education is a physics-only coaching institute at 28B/7, Jia Sarai, Near IIT Delhi, New Delhi founded by Atul Gaurav (JNU alumnus) and Dr. Alok Shukla (IIT Delhi alumnus). With 8,000+ selections and AIR 1 results, Pravegaa is India’s most focused institute for CSIR NET Physics and IIT JAM Physics. Book a free demo class or call 8920759559.
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