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DYK-05 Change in Sign of Fermion Wave Function under 2$\pi$ Rotation

Node id: 1830page

It is well known the wave function of a fermion changes sign under rotation by \(2\pi\). Has this been verified experimentally?

kapoor's picture 20-02-08 16:02:30 n

DYK-04 Who Revived the Klein Gordon Equation?

Node id: 1828page

The Klein Gordon equation in its original  interpretation suffered from problem of negative probabilities. After quantum electrodynamics was successfully formulated, the second quantized Klein Gordon equation was shown to give a consistent formulation for spin zero particles. WHO DID THIS WORK?

kapoor's picture 20-02-08 16:02:30 n

DYK-03 Jacobi Action Principle

Node id: 1827page

Jacobi Action Principle
A Second Variational Principle for Conservative Systems

Hamilton.'s action principle in classical mechanics is widely taught. There is a lesser known, but important Jacobi principle which is like Fermat's principle for waves. This form of action principle  was used by Schrodinger to arrive at his hafous equation for qunatum mechanics of a point particles. 

 

 

kapoor's picture 20-02-08 16:02:30 n

DYK-02 Connection beteen Keplers and Hooke's force laws

Node id: 1826page

Coulomb's force law and Hooke's law are connected by a transformation called Bohlin's transformation.

$\newcommand{\DD}[2][]{\frac{d^2#1}{d#2^2}}$

kapoor's picture 20-02-08 16:02:30 n

Random Mix-06 An example of Quantum Effects in Stars

Node id: 851page

An example of Quantum Effects in Stars

Sarita Vig
Department of Earth and Space Sciences
Indian Institute of Space Science and Technology (IIST)
Valiamala, Tiruvananthpuram 695547, INDIA

kapoor's picture 20-02-08 16:02:30 n

Works of Masters always have something to offer

Node id: 723page

I take the best from every one. But GOLD FROM OLD,
There is always something to learn from  MASTERS;

In this age of internet, there is a tendency to open internet and learn from Wikipedia and similar sites. While this has its own advantages for  a mature learner, I recommend that a beginner must learn from the masters even though the learning curve may look very steep.

This collection is an attempt to encourage younger generation to leart role of contibuting  to the subject and from the very best.

There are many who contributed to pedgogy and teaching. Many old texts become 'obsolete' simply because is it fashionable to go for the latest.  It would be foolhardy to ignore these and other works, so we include here snippets and quotes etc. from many other sources too.

It is  hoped this will provide incentive to the younger generations to ask for more.

"Choose the very best from every one" 

 

 

kapoor's picture 20-02-08 16:02:30 n

Sample Grading by Category

Node id: 290page
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Sample Rapid Fire Quiz

Node id: 288page
kapoor's picture 20-02-08 16:02:30

Sample Quiz : Identities in QM

Node id: 286page
kapoor's picture 20-02-08 16:02:30

Sample Quiz Focussed on a Key Concept

Node id: 285page
kapoor's picture 20-02-08 16:02:30

Random Mix-04 Coordinate Representation

Node id: 281page

Random Mix-04
Coordinate Representation

kapoor's picture 20-02-08 16:02:30 n

Sample Grade the Proof Type Question

Node id: 280page

I learnt about "Grade The Proof Type Problem" in an article American Mathematical Monthly in late seventies where it was discussed as a means to train the  students to write correct proofs of mathematical theorems.

kapoor's picture 20-02-08 16:02:30 n

Quiz Sample [ Ask a question to answer to another question ]

Node id: 252page
kapoor's picture 20-02-08 16:02:30 n

Random Mix-03 What all information does state of a quantum system give?

Node id: 227page

Random Mix-03
"What all information does  state of a  quantum system give?"

kapoor's picture 20-02-08 16:02:30 n

2019-QM-1 @ HCU :: Test and Examination Papers

Node id: 3435curated_content
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2016-QFT @ IIT Bhubneshwar :: Problem Sessions

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2017-QFT @ IIT Bhubaneswar :: Solved Examples

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2017-QFT @ IIT Bhubaneswar :: Problem Sessions

Node id: 3419curated_content
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2017-QFT @ IIT Bhubaneswar :: Lecture Notes

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2018-CM @ UoHyd :: Test and Examination Papers

Node id: 3414curated_content
kapoor's picture 20-02-08 16:02:22 n

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