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Title+Summary	Name	Date
[QUE/QFT-ALL] Quantum Field Theory --- Repository of Questions Node id: 5847page This 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)	kapoor	24-04-24 05:04:26	n
[BRST/QFT-ALL] Quantum Field Theory ---- Bundled Resources for Study Node id: 6208collection	kapoor	24-04-24 05:04:03	n
[NOTES/TH-09001] Postulates of Thermodynamics Node id: 5018page	kapoor	24-04-24 04:04:13	n
[SUM/CM-07001] Small Oscillations --- Lagrangian Mechanics Node id: 6206page A summery of obtaining the normal frequencies of small oscillations and normal coordinates is given.	kapoor	24-04-23 06:04:22	n
[NOTES/CM-06008] Rutherford Scattering Node id: 6204page Rutherford 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.	kapoor	24-04-23 05:04:23	n
[NOTES/CM-06004] Measurement of Total Cross Section Node id: 6202page The 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.	kapoor	24-04-23 05:04:30	n
[NOTES/CM-06007] Hard Sphere Scattering Node id: 6203page It is shown that the total cross section from a hard sphere of radius \(R\) is \(\pi R^2\)	kapoor	24-04-22 05:04:24	n
[NOTES/CM-06006] Computation of Cross Section Node id: 6200page A formula for differential cross section is derived making use of relation of the scattering angle with the impact parameter.	kapoor	24-04-21 05:04:23	n
[NOTES/CM-06003] Particles --- Which area is the cross section? Node id: 6197page For scattering of particles, we explain which area is scattering cross section.	kapoor	24-04-17 23:04:25	n
[NOTES/CM-06002] Scattering of Waves Node id: 6193page The definition of scattering cross section for waves is given and the interpretation as an area is explained.	kapoor	24-04-17 23:04:48	n
Trying TOC Scattering Theory --- Basic Definitions Node id: 6195page Summary Box NO TOC here	kapoor	24-04-16 21:04:49	n
[NOTES/CM-05006] Effective Potential for Spherically Symmetric Problems Node id: 6180page Using 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.	kapoor	24-04-14 08:04:31	n
\(\S 16.4\) Hydrogen atom Energy Levels Node id: 856page Quantum Mechanics Lecture Notes -16 HOME PAGE Spherically Symmetric Potential Problems General Properties of Spherically Symmetric Potentials Angular Momentum in Coordinate Representtaion Solution of Radial Equation Hyderogen Atom Energy Levels	kapoor	24-04-13 06:04:34	n
\(\S16.1\) General Properties of Spherically Symmetric Potential Problems Node id: 853page Quantum Mechanics Lecture Notes -16 HOME PAGE Spherically Symmetric Potential Problems General Properties of Spherically Symmetric Potentials Angular Momentum in Coordinate Representtaion Solution of Radial Equation Hyderogen Atom Energy Levels	kapoor	24-04-13 06:04:02	n
[NOTES/CM-02004] Integration of EOM by Quadratures Node id: 6043page $\newcommand{\dd}[2][]{\frac{d #1}{d #2}};\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}};$ We discuss an example of particle in two dimensions in a potential independent of \(\theta\). By working in plane polar coordinates, we show how solution of equations of motion can be reduced to quadratures.	kapoor	24-04-13 05:04:40	n
[NOTES/QM-12002] Free Particle Wave Packets Node id: 6187page $\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}\newcommand{\matrixelement}[3]{\langle#1\|#2\|#3\rangle}\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}\newcommand{\dd}[2][]{\frac{d#1}{d#2}}\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}\newcommand{\average}[2]{\langle#1\|#2\|#1\rangle}$ A particle with localized position is described by a wave packet in quantum mechanics. Taking a free Gaussian wave packet, its wave function at arbitrary time is computed. It is fund that the average value of position varies with time like position of a classical particle. The average vale of momentum remains constant and the uncertainty \(\Delta x\) increases with time.	kapoor	24-04-13 01:04:13	n
[NOTES/ME-02001] Rotation of Coordinate Axes Node id: 5656page $\newcommand{\mid}{\|}$ $\newcommand{\label}[1]{}$	AK-47	24-04-12 17:04:43	y
2. Density Matrix --- Lecture Given at Univ Hyd 2024 --- Refresher Course Node id: 6063page	kapoor	24-04-11 03:04:11	n
[DOC/FBI-ToProcess] Node id: 6185page This page contains list of Fully Baked Resources to Process. These are mostly lectures notes for courses and are scattered over different Folders in Laptop WorkSpace	kapoor	24-04-10 08:04:40	n
Test and Examination Papers Node id: 2491curated_content For Downloads Open Attached File(s) Tab	kapoor	24-04-10 06:04:14	n

This 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)

A summery of obtaining the normal frequencies of small oscillations and normal coordinates is given.

Rutherford 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.

The 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.

It is shown that the total cross section from a hard sphere of radius $R$ is $\pi R^2$

A formula for differential cross section is derived making use of relation of the scattering angle with the impact parameter.

For scattering of particles, we explain which area is scattering cross section.

The definition of scattering cross section for waves is given and the interpretation as an area is explained.

Summary Box

NO TOC here

Using 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.

$\newcommand{\dd}[2][]{\frac{d #1}{d #2}};\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}};$
We discuss an example of particle in two dimensions in a potential independent of $\theta$. By working in plane polar coordinates, we show how solution of equations of motion can be reduced to quadratures.

$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}\newcommand{\dd}[2][]{\frac{d#1}{d#2}}\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$

A particle with localized position is described by a wave packet in quantum mechanics. Taking a free Gaussian wave packet, its wave function at arbitrary time is computed. It is fund that the average value of position varies with time like position of a classical particle. The average vale of momentum remains constant and the uncertainty $\Delta x$ increases with time.

$\newcommand{\mid}{|}$

$\newcommand{\label}[1]{}$

This page contains list of Fully Baked Resources to Process.

These are mostly lectures notes for courses and are scattered over different Folders in Laptop WorkSpace

For Downloads Open Attached File(s) Tab

RightClick (except on links): this draggable popup. Help

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Browse & Filter

[QUE/QFT-ALL] Quantum Field Theory --- Repository of Questions

[BRST/QFT-ALL] Quantum Field Theory ---- Bundled Resources for Study

[NOTES/TH-09001] Postulates of Thermodynamics

[SUM/CM-07001] Small Oscillations --- Lagrangian Mechanics

[NOTES/CM-06008] Rutherford Scattering

[NOTES/CM-06004] Measurement of Total Cross Section

[NOTES/CM-06007] Hard Sphere Scattering

[NOTES/CM-06006] Computation of Cross Section

[NOTES/CM-06003] Particles --- Which area is the cross section?

[NOTES/CM-06002] Scattering of Waves

Trying TOC Scattering Theory --- Basic Definitions

[NOTES/CM-05006] Effective Potential for Spherically Symmetric Problems

\(\S 16.4\) Hydrogen atom Energy Levels

\(\S16.1\) General Properties of Spherically Symmetric Potential Problems

[NOTES/CM-02004] Integration of EOM by Quadratures

[NOTES/QM-12002] Free Particle Wave Packets

[NOTES/ME-02001] Rotation of Coordinate Axes

2. Density Matrix --- Lecture Given at Univ Hyd 2024 --- Refresher Course

[DOC/FBI-ToProcess]

Test and Examination Papers

Pages