
[NOTES/CM/08001] The Group of Orthogonal Matrices in Three DimensionsNode id: 6215pageThe groups of all orthogonal matrices is defined It has a subgroup of matrices with determinant +1, This subgroup is called specail orthogonal group. $\newcommand{\U}[1]{\underline{#1}}$ 

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[NOTES/CM/The Group of Special orthogonal Matrices Three Dimensions]Node id: 6212page 

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[LSN/EMALL] Electromagnetic Theory Stockpile of Lessons Node id: 5906collectionThis page is under construction
Last Updated May 8, 2023


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[NOTES/CMALL] Classical Mechanics  Repository of Notes for LecturesNode id: 6102collectionThis repository contains collection of NOTES for LECTURES in Classical Mechanics. These are arranged according to topics in the subject. Not sorted or arranged in any particular order within a topic.
Suitable for teachers and content developers only.
Click on any topic to browse all available notes.
(Click opens an embedded window) 

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[LSN/QFTALL]: Quantum Field Theory  Stockpile of Lessons Node id: 3836collection
 Module I :: Classical Field Theory
 Module II:: Second Quantization of Schrodinger Field
 Module III:: Preparation From Quantum MechanicsI:: Time Dependent Perturbation Theory
 Module IV:: Computation of Cross Sections and Life TimesI
 Module V:: Preparation from Relativistic Quantum MechanicsI  Klein Gordon Equation
 Module VI:: Quantization of Klein Gordon Field
 Module VII:: Quantization of Electromagnetic Field
 Module VIII:: Preparation from Relativistic Quantum MechanicsII  Dirac Equation
 Module IX:: Quantization of Dirac equation
 ModuleX:: Symmetries and Conservation Laws
 ModuleXI:: S Matrix, Schwinger Dyson Expansion, and Wick's Theorem
 ModuleXII:: Feynman Diagrams and Feynman Rules
 Module XIII:: Computation of Processes  Tree Diagrams
 ModuleXIV:: Higher Order Calculation
 ModuleXV:: Anomalous Magnetic Moment of Electron


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[NOTES/QFTALL] Quantum Field Theory  Repository of Notes For LecturesNode id: 6209collectionThis is a repository of NOTES for Lectures in Quantum Field Theory These are arranged according to topics in the subject. Not sorted, or arranged, in any particular order within a topic.
The primary usage of these NOTES is to use them as building blocks for other study resources.
Suitable for teachers and content developers only.
Click on any topic below, to browse all available notes. (Click opens an embedded window) 

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[QUE/QFTALL] Quantum Field Theory  Repository of Questions Node id: 5847pageThis is a repository of QUESTIONS and PROBLEMS for Lectures in Quantum Field Theory These are arranged according to topics in the subject. Not sorted, or arranged, in any particular order within a topic.
The primary usage of these Questions is to use them as building blocks for other resources.
Suitable for teachers and content developers only.
Click on any topic below, to browse all available notes. (Click opens a separate window) 

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[BRST/QFTALL] Quantum Field Theory  Bundled Resources for StudyNode id: 6208collection 

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[NOTES/TH09001] Postulates of Thermodynamics Node id: 5018page 

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[SUM/CM07001] Small Oscillations  Lagrangian MechanicsNode id: 6206pageA summery of obtaining the normal frequencies of small oscillations and normal coordinates is given. 

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[NOTES/CM06008] Rutherford ScatteringNode id: 6204pageRutherford formula\begin{eqnarray} \sigma(\theta) &=& \frac{1}{4} \left( \frac{k}{2E} \right)^{2} \frac{1}{\sin^{4} \left(\frac{\theta}{2} \right)} \end{eqnarray}for Coulomb scattering is derived in classical echanics. 

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[NOTES/CM06004] Measurement of Total Cross SectionNode id: 6202pageThe cross section is measured by measuring the intensity of beam, scattered from a thin foil, in the forward direction as a function of thickness of the foil. 

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[NOTES/CM06007] Hard Sphere ScatteringNode id: 6203pageIt is shown that the total cross section from a hard sphere of radius \(R\) is \(\pi R^2\) 

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[NOTES/CM06006] Computation of Cross SectionNode id: 6200pageA formula for differential cross section is derived making use of relation of the scattering angle with the impact parameter. 

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[CHAT/CM06002] Let's Talk  Potential ScatteringNode id: 6199page 

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[CHAT/CM06001] Let's Talk  ScatteringNode id: 6198page 

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[NOTES/CM06003] Particles  Which area is the cross section?Node id: 6197pageFor scattering of particles, we explain which area is scattering cross section. 

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[NOTES/CM06002] Scattering of WavesNode id: 6193pageThe definition of scattering cross section for waves is given and the interpretation as an area is explained. 

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Trying TOC Scattering Theory  Basic Definitions Node id: 6195page 

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[NOTES/CM05006] Effective Potential for Spherically Symmetric ProblemsNode id: 6180pageUsing angular momentum conservation it is shown that orbits for a spherically symmetric potential lie in a plane; This makes it possible to work in plane polar coordinates. The equation for radial motion becomes similar to that in one dimension with potential replaced by an effective potential. An expression for the effective potential is obtained. 

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