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Title+Summary	Name	Date
Download Bundles of Lessons:: Ordinary Differential Equations Node id: 3747curated_content These are lecture notes on the method of series solution given as part of summer course 2015 at the University of Hyderabad.	kapoor	20-08-24 20:08:17	n
Testing IFrame Node id: 880page	kapoor	20-08-21 12:08:56	y
Bundled Lessons for Downloads --- Group Theory Node id: 3756curated_content Lessons-I Lessons-II Lessons-III Lessons-IV	kapoor	20-08-20 16:08:59	n
LSN/MM-13 Applications of The Rodriguez Formula Node id: 3751page	kapoor	20-08-18 17:08:20	n
LSN/MM-13 A General Approach to Orthogonal Polynomials Node id: 3749page	kapoor	20-08-18 16:08:18	n
Mined/CV-05 Series Expansion Node id: 3674page	kapoor	20-07-10 00:07:27	n
Warning Page Node id: 3578page	kapoor	20-05-27 10:05:12	n
QM-20 Spin and Identical Particles (Problem Set-3) Node id: 1097page	kapoor	20-05-25 15:05:39	n
23.1 Non degenerate case Node id: 1075page	kapoor	20-05-21 04:05:37	n
Click on Plus Sign Node id: 3566page Please Go Back Click on Any Plus Sign, $\boxplus$, to Expand the Section	kapoor	20-04-11 14:04:53	n
2010-QM-II @ HCU :: Assignments Node id: 3428curated_content Session-I::Spin Wave Functions and Operators Session-II:: Addition of Angular Momenta Session III::Spin and Identical Particles Session IV::Bound State Perturbation Theory Session V: Born Approximation Session VI::Integral Equation, Green Function in One Dimension Session VII::Variation Method Session VIII::Perturbation Theory Session IX:: GroupActivity-1 Session X::Group Activitty-2	kapoor	20-04-08 16:04:45	n
TUT/CM-07 :: WorkSheet Small Oscillations Node id: 2178page There are two problems in this set. The first problem is fully solved with nothing left to imagination.It also demonstrates how solution to this class of problems should be presented. A soft copy was mailed to the students. They are expected to go through and understand the solution to the first problem in advance. The students were required to print out the second problem and come to the class with a print out.Alternatively a print copy of problem #2 can be provided. In the class the first one they could read from PDF files on their mobiles. They are required to complete the details of the second problem during the class by filling the gaps as indicated by ??? marks in red. This format of tutorial was tested in the way descried above for a summer course in 2018 at Univeristy of Hyderabad. Most of the students could complete in one hour and found this format very helpful.	kapoor	20-04-02 21:04:21	n
Testing Node id: 3562page	kapoor	20-03-31 20:03:38	n
BPCS-001 Why $\sum_k f(q)_k \delta q_k=0$ implies $f_k(q)=0$ Node id: 3328page	kapoor	20-03-31 07:03:45	n
RFR/QFT-04001 :: Spin Statistics Theorem Node id: 3553page	kapoor	20-03-26 11:03:59	n
Samples of Resources Node id: 1485page In this section some samples of content and teaching resources are made available. Use the navigation links at the right bottom of the page to go to different items.	kapoor	20-03-25 10:03:06	n
Random Mix in 0space Node id: 1483page	kapoor	20-03-25 10:03:37	n
Did You Know That --- Home Node id: 1825page There are several important, useful , interesting and lesser known facts that are scattered over text books and jorunals devoted to teaching and learning. These facts are closely connected to topics covered by most text books and to topics that are covered in every standard course. This series of short BLOGS "Did You Know That .." draws attention to important and interesting facts related to text book topics. These are taken mostly from Journnals and text books. References are provided	kapoor	20-03-25 10:03:50	n
Computing Cross section Node id: 3544page Question Consider a system of two real scalar fields \(\phi_1, \phi_2\) described by the Lagrangian density \begin{equation} \Lsc = \frac{1}{2} \partial_\mu \phi_i \partial^\mu \phi_i - \frac{1}{2} m^2 \phi_i\phi_i -\frac{1}{4} \lambda (\phi_i\phi_i)^2. \end{equation} Compute the scattering cross section to the lowest order in \(\lambda\). Find the cross sections for the three processes \(\phi_1 + \phi_2 \longrightarrow \phi_1 +\phi_2\) \(\phi_1 + \phi_1 \longrightarrow \phi_1 +\phi_1\) \(\phi_1 + \phi_1 \longrightarrow \phi_2 +\phi_2\) Write your answers as a constant times \(\sigma_0\equiv \frac{\lambda^2}{64\pi s}\) where \(s\) is the total energy in the center of mass frame. Answer : a. \(4\sigma_0\) b. \(36 \sigma_0\) c. \(4 \sigma_0\) Hint : Find symmetry appropriate factor. Remark : Good question	kapoor	20-03-18 06:03:00	n
Complex Variables -- Problem Sets Node id: 2949page	kapoor	20-03-08 16:03:30	n

These are lecture notes on the method of series solution given as part of summer course 2015 at the University of Hyderabad.

Lessons-I

Lessons-II

Lessons-III

Lessons-IV

Please Go Back

Click on Any Plus Sign, $\boxplus$, to Expand the Section

Session-I::Spin Wave Functions and Operators
Session-II:: Addition of Angular Momenta
Session III::Spin and Identical Particles
Session IV::Bound State Perturbation Theory
Session V: Born Approximation
Session VI::Integral Equation, Green Function in One Dimension
Session VII::Variation Method
Session VIII::Perturbation Theory
Session IX:: GroupActivity-1
Session X::Group Activitty-2

There are two problems in this set. The first problem is fully solved with nothing left to imagination.It also demonstrates how solution to this class of problems should be presented.

A soft copy was mailed to the students. They are expected to go through and understand the solution to the first problem in advance. The students were required to print out the second problem and come to the class with a print out.Alternatively a print copy of problem #2 can be provided. In the class the first one they could read from PDF files on their mobiles.

They are required to complete the details of the second problem during the class by filling the gaps as indicated by ??? marks in red.

This format of tutorial was tested in the way descried above for a summer course in 2018 at Univeristy of Hyderabad. Most of the students could complete in one hour and found this format very helpful.

In this section some samples of content and teaching resources are made available.
Use the navigation links at the right bottom of the page to go to different items.

There are several important, useful , interesting and lesser known facts that are scattered over text books and jorunals devoted to teaching and learning. These facts are closely connected to topics covered by most text books and to topics that are covered in every standard course.

This series of short BLOGS "Did You Know That .." draws attention to important and interesting facts related to text book topics. These are taken mostly from Journnals and text books. References are provided

Question
Consider a system of two real scalar fields $\phi_1, \phi_2$
described by the Lagrangian density
\begin{equation}
\Lsc = \frac{1}{2} \partial_\mu \phi_i \partial^\mu \phi_i - \frac{1}{2} m^2
\phi_i\phi_i -\frac{1}{4} \lambda (\phi_i\phi_i)^2.
\end{equation}
Compute the scattering cross section to the lowest order in $\lambda$. Find
the cross sections for the three processes

$\phi_1 + \phi_2 \longrightarrow \phi_1 +\phi_2$
$\phi_1 + \phi_1 \longrightarrow \phi_1 +\phi_1$
$\phi_1 + \phi_1 \longrightarrow \phi_2 +\phi_2$

Write your answers as a constant times $\sigma_0\equiv \frac{\lambda^2}{64\pi
s}$ where
$s$ is the total energy in the center of mass frame.

Answer : a. $4\sigma_0$ b. $36 \sigma_0$ c. $4 \sigma_0$

Hint : Find symmetry appropriate factor.
Remark : Good question

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Browse & Filter

Download Bundles of Lessons:: Ordinary Differential Equations

Testing IFrame

Bundled Lessons for Downloads --- Group Theory

LSN/MM-13 Applications of The Rodriguez Formula

LSN/MM-13 A General Approach to Orthogonal Polynomials

Mined/CV-05 Series Expansion

Warning Page

QM-20 Spin and Identical Particles (Problem Set-3)

23.1 Non degenerate case

Click on Plus Sign

2010-QM-II @ HCU :: Assignments

TUT/CM-07 :: WorkSheet Small Oscillations

Testing

BPCS-001 Why $\sum_k f(q)_k \delta q_k=0$ implies $f_k(q)=0$

RFR/QFT-04001 :: Spin Statistics Theorem

Samples of Resources

Random Mix in 0space

Did You Know That --- Home

Computing Cross section

Complex Variables -- Problem Sets

Pages