Modules / Lectures


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Introduction to Quantum MechanicsIntroduction to Quantum Mechanics

Sl.No Chapter Name English
1Black Body Radiation I - Relevant Definitions and Black Body as cavityDownload
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2Black Body Radiation II- Intensity of radiation in terms of energy densityDownload
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3Black Body Radiation III - Spectral energy density and radiation pressure inside a black body radiationDownload
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4Black Body Radiation IV- Stephen's Boltzman lawDownload
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5Black Body Radiation V - Wein's Displacement law and analysis for spectral densityDownload
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6Black Body Radiation VI - Wein's distribution law and rayleigh - Jeans distribution lawDownload
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7Black Body Radiation VII - Quantum Hypothesis and plank's distribution FormulaDownload
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8Radiation as a collection of particles called photons Download
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9Quantum Hypothesis and specific heat of soildsDownload
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10Bohr's Model of hydrogen spectrumDownload
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11Wilson Sommerfeld quantum condition I - Harmonic oscillator and particle in a boxDownload
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12Wilson Sommerfeld quantum condition II - Particle moving in a coulomb potential in a plane and related quantum numbers Download
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13Wilson Sommerfeld quantum condition III - Particle moving in a coulomb potential in 3D and related quantum numbers Download
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14Quantum conditions and atomic structure, electron spin and Pauli exclusion principleDownload
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15Interaction of atoms with radiation : Eienstien's A and B coefficientsDownload
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16Stimulated emmision and amplification of light in a LASERDownload
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17Brief description of a LASER Download
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18Introduction to the correspondence principleDownload
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19General nature of the correspondence principleDownload
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20Selection rules (for transitions) through the correspondence principleDownload
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21Applications of the correspondence principle : Einstiens A coefficient for the harmonic oscillator and the selection rules for atomic transitionsDownload
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22Heisenberg's formulations of quantum mechanics : expressing kinetic variables as matricesDownload
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23Heisenberg's formulation of quantum mechanics : the quantum conditionDownload
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24Heisenberg's formulation of the quantum mechanics : Application to harmonic oscillatorDownload
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25Brief introduction to matrix mechanics and the quantum condition in matrix formDownload
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26Introduction to waves and wave equationDownload
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27Sationary waves eigen values and eigen functionsDownload
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28Matter waves and their experimental detectionDownload
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29Represenating a moving paticle by a wave packetDownload
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30Stationary-state Schrodinger equation and its solution for a particle in a boxDownload
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31Solution of the stationary-state Schrodinger equation for a simple harmonic oscillator Download
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32Equivalance of Heisenberg and the Schrodinger formulations : Mathematical preliminariesDownload
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33Equivalance of Heisenberg and Schrodinger formulations : The x and p operators and the quantum conditionDownload
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34Born interpretation of the wavefunction and expectation values of x and p operatorsDownload
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35Uncertainty principle and its simple applicationsDownload
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36Time dependent Schrodinger equation the probability current density and the continuity equation for the probability densityDownload
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37Ehrenfest theorem for the expectation values of x and p operatorsDownload
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38Solution of Schrodinger equation for a particle in one and two delta function potentialsDownload
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39Solution of Schrodinger equation for a particle in a finite well Download
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40Numerical solution of a one dimensional Schrodinger equation for bound states - IDownload
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41Numerical solution of a one dimensional Schrodinger equation for bound states - IIDownload
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42Reflection and transmission of particles across a potential barrier Download
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43Quantum-tunneling and its examples Download
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44Solution of the Schrodinger for free paticles and periodic boundary conditionsDownload
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45Electrons in a metal : Density of states and Fermi energy Download
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46Schrodinger equation for particles in spherically symmetric potential, angular momentum operatorDownload
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47Angular momentum operator and its eigenfunctionsDownload
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48Equation for radial component of the wavefunction in spherically symmteric potentials and general properties of its solutionDownload
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49Solution for radial component of the wavefunction for the hydrogen atom Download
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50Numerical solution for the radial component of wavefunction for spherically symmetric potentialsDownload
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51Solution of the Schrodinger equation for one dimensional periodic potential : Bloch's theoremDownload
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52Kroning-Penny model and energy bandsDownload
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53Kroning-Penny model with periodic Dirac delta function and energy bandsDownload
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54Discussion on bandsDownload
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55Summary of the courseDownload
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