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2.4.2026 ║ Lecture 28 |
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⯈ Degenerate perturbation theory (Sec 17.3 in Ref 1) |
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30.3.2026 ║ Lecture 27 |
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⯈ Time-independent perturbation theory (Sec 17.1 in Ref 1) |
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26.3.2026 ║ Lecture 26 |
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⯈ How to use WKB formula : example problems (Sec 16.2 in Ref 1) ⯈ Harmonic oscillator example |
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24.3.2026 ║ Lecture 25 |
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⯈ Validity of WKB approximation (Sec 16.2 in Ref 1) ⯈ Connecton formulas for WKB approximation (Sec 8.3 in Ref 3) ⯈ Airy functions |
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23.3.2026 ║ Lecture 24 |
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⯈ WKB approximation (Sec 16.2 in Ref 1) 🟤 WKB, tunelling and half life of a beer can |
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19.2.2026 ║ |
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⯈ Class not held. To be adjusted later. |
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17.3.2026 ║ |
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⯈ No class. |
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16.3.2026 ║ Lecture 23 |
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⯈ Variational technique (continued) (Sec 16.1 in Ref 1) ⯈ Variational technique applied to Hydrogen atom ⯈ WKB approximation: preliminaries (Sec 16.2 in Ref 1) |
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14.3.2026 ║ Lecture 22 |
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⯈ Identical particles and exchange interaction (Sec 5.1.2 in Ref 3) ⯈ Variational technique (Sec 16.1 in Ref 1) |
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12.3.2026 ║ Lecture 21 |
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⯈ Identical particles: symmetric and anti-symmetric states (Sec 10.2, 10.3 in Ref 1) 🟤 Identical particles pass the practicality test |
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10.3.2026 ║ Lecture 20 |
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⯈ \( N \) degrees of freedom: some prelimnaries (Sec 10.1 in Ref 1) |
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9.3.2026 ║ Lecture 19 |
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⯈ How to determine Clebsch-Gordon coefficients (Sec 15.2 in Ref 1) ⯈ Notes for computing CG coefficient |
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5.3.2026 ║ Lecture 18 |
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⯈ Clebsch-Gordon coefficients (Sec 15.2 in Ref 1) |
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2.3.2026 ║ Lecture 17 |
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⯈ Addition of angular momenta \( {\mathbf J = \mathbf J_1 + \mathbf J_2} \) (Sec 15.1 and 15.2 in Ref 1) ⯈ Product basis states \( | j_1 m_1, j_2 m_2 \rangle \) and coupled basis states \( | j m, j_2 j_2 \rangle \) ⯈ Class notes for angular momentum addition |
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17.2.2026 ║ |
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⯈ No class. |
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16.2.2026 ║ Lecture 16 |
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⯈ Recap of spin and related notations (Sec 14.1 and 14.2 in Ref 1) ⯈ Introduction to adding two spins ⯈ How to add two spins |
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12.2.2026 ║ Lecture 15 |
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⯈ Hydrogen atom: properties of eigenstates, degeneracy (Sec 13.1 in Ref 1) ⯈ Classical limit of Hydrogen atom solutions ⯈ 3D harmonic oscillator (Sec 12.6 in Ref 1) |
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10.2.2026 ║ Lecture 14 |
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⯈ Hydrogen atom problem : eigenvalues and eigenstates (Sec 13.1 in Ref 1) ⯈ Associated Laguerre polynomials (Sec 13.1 in Ref 1) ⯈ Hydrogen atom in one webpage 🟤 Smile, Hydrogen atom, you are on (quantum) camera |
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9.2.2026 ║ Lecture 13 |
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⯈ Setting up radial Schrodinger equation for rotationally invariant potential \( V(r) \). ⯈ Laplacian operator in spherical polar coordinate system. ⯈ Solving for \(U(r)\) and \(R(r)\) for a general \( V(r) \) (Sec 12.6 in Ref 1) ⯈ Class notes for spherical harmonics / Radial Schrodinger equation |
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5.2.2026 ║ Lecture 12 |
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⯈ Common eigenfunctions for \(J^2\) and \(J_z\). ⯈ Spherical harmonics (Sec 12.5 in Ref 1) (Sec 12.5 in Ref 1) |
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3.2.2026 ║ Lecture 11 |
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⯈ Using Ladder operators to solve the eigenvalue problem of \(L^2\) and \(L_z\). ⯈ Explicit matrix forms for \(J_x, J_y, J_z\) and \(J^2\). (Sec 12.5 in Ref 1) |
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2.2.2026 ║ |
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⯈ Class Test - 1 |
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29.1.2026 ║ Lecture 10 |
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⯈ Rotationally invariant problems in 3D. ⯈ Ladder operators and angular momentum eigenvalue problems (Sec 12.4 in Ref 1) |
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27.1.2026 ║ Lecture 9 |
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⯈ Setting up the radial Schrodinger equation in 2-dimensions. ⯈ Harmonic oscillator in 2-dimensions in polar coordinates. ⯈ Angular momentum, Rotations and commutation relations in 3D (Sec 12.4 in Ref 1). |
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22.1.2026 ║ Lecture 8 |
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⯈ Operator for finite rotations. Eigenvalues of angular momentum operator. ⯈ Combining rotations and translations. (Sec 12.2 in Ref 1) (Sec 12.3 in Ref 1) |
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20.1.2026 ║ Lecture 7 |
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⯈ Rotational invariance (continued) (Sec 12.1 in Ref 1) |
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19.1.2026 ║ Lecture 6 |
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⯈ Rotational invariance (Sec 12.1 in Ref 1) ⯈ parity symmetry and examples (Sec 11.3, 11.4 in Ref 1) |
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15.1.2026 ║ Lecture 5 |
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⯈ time translation symmetry, parity symmetry (Sec 11.3, 11.4 in Ref 1) ⯈ finite space translation operator (Sec 11.2) |
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13.1.2026 ║ |
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⯈ Class not held. |
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12.1.2026 ║ Lecture 4 |
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⯈ Length scale in harmonic oscillator ⯈ Relation between classical turning point and length scale |
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8.1.2026 ║ Lecture 3 |
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⯈ Comparison with classical harmonic oscillator (Sec 7.3 in Ref 1) ⯈ Correspondence principle ⯈ nodes, symmetry of eigenstates etc. |
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6.1.2026 ║ Lecture 2 |
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⯈ Eigenvalues and eigenfunctions using raising/lowering operators (Sec 7.4, 7.5 in Ref 1) |
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5.1.2026 ║ Lecture 1 |
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⯈ Solving harmonic oscillator in energy basis : raising/lowering operators (Sec 7.4 in Ref 1) |