|
|
Pages under constructionNode id: 3447page |
|
20-02-08 16:02:30 |
n |
|
|
PTR/QM-06001 --- States of a quantum system Node id: 1968page |
|
20-02-08 16:02:30 |
n |
|
|
DYK-10 Schrodinger was never comfortable with quantum jumpsNode id: 2962page |
|
20-02-08 16:02:30 |
n |
|
|
A Mixed Bag of Resources Node id: 3395pageThis section of Warehouse contains a wide variety of resources such as:
Short Examples;
Short Questions:
Recall and Understanding Questions;
Comprehension Check Ups
WebQuest
and many more, which do not fit into any other repository.
These resources are meant to be mostly used as building blocks of other resources in Proofs.
Each resource belongs to a definite topic of a definite area.
This part of the tree hierarchy is the same as that used for all other repositories.
|
|
20-02-08 16:02:30 |
n |
|
|
PTR/QM-06003 --- Probabilty and average value Node id: 1970page |
|
20-02-08 16:02:30 |
n |
|
|
Sample Grade the Proof Type QuestionNode id: 280pageI 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.
|
|
20-02-08 16:02:30 |
n |
|
|
Quantum Mechanics :: Facts to be Remembered Node id: 2236page Content Under Development
|
|
20-02-08 16:02:30 |
n |
|
|
DYK-02 Connection beteen Keplers and Hooke's force laws Node id: 1826pageCoulomb's force law and Hooke's law are connected by a transformation called Bohlin's transformation.
$\newcommand{\DD}[2][]{\frac{d^2#1}{d#2^2}}$
|
|
20-02-08 16:02:30 |
n |
|
|
DYK-04 Who Revived the Klein Gordon Equation?Node id: 1828pageThe 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?
|
|
20-02-08 16:02:30 |
n |
|
|
DYK-05 Change in Sign of Fermion Wave Function under 2$\pi$ RotationNode id: 1830pageIt is well known the wave function of a fermion changes sign under rotation by \(2\pi\). Has this been verified experimentally?
|
|
20-02-08 16:02:30 |
n |
|
|
Random Mix-06 An example of Quantum Effects in Stars Node id: 851pageAn 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
|
|
20-02-08 16:02:30 |
n |
|
|
Sample Grading by CategoryNode id: 290page |
|
20-02-08 16:02:30 |
n |
|
|
QKR/EM-10001 Scalar and Vector Potentials Node id: 3333page |
|
20-02-08 16:02:30 |
n |
|
|
Projects :: Web QuestNode id: 3346page |
|
20-02-08 16:02:30 |
n |
|
|
DYK-07 How good is Newtonian mechanics for planetary motion? Node id: 1899page |
|
20-02-08 16:02:30 |
n |
|
|
PTR/QM-06002 --- Dynamical Variables as hemitian operators Node id: 1969page |
|
20-02-08 16:02:30 |
n |
|
|
Quiz Sample [ Ask a question to answer to another question ]Node id: 252page |
|
20-02-08 16:02:30 |
n |
|
|
DYK-08 Who proposed electron spin first and what happened to the proposal?Node id: 2114page |
|
20-02-08 16:02:30 |
n |
|
|
Works of Masters always have something to offerNode id: 723pageI 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"
|
|
20-02-08 16:02:30 |
n |
|
|
DYK-12 :: What is a gauge? as Explained by Pankaj SharanNode id: 3103page
The following (from notes for a lecture I was preparing) might help explain the context: The first gauge theory was Hermann Weyl's extension of Einstein's general theory of relativity with a parallel transport that can change the scale or 'gauge' of lengths of the transported vector. About this one can read in P. G. Bergman's book on Relativity. The Hamiltonian formulation of electrodynamics, and in particular, the replacement of \(\vec{p}\) by \(\vec{p}-e\vec{A}/c \) was given by Larmor in his book "Aether and Matter", Cambridge (1900). [quoted by Pauli in ''General Principles of Quantum Mechanics" , Section 4. (Tr. by P. Achuthan and K. Venkatesan of 1958 German edition) Allied, New Delhi 1980.] In quantum mechanics the 'canonical momentum' \(\vec{p}-e\vec{A}/c\) becomes \(-i\hbar[\nabla-ie\vec{A}/(\hbar c)]\). The gauge invariance of the Schrodinger theory under \(\vec{A}\to \vec{A}+\nabla f\) and \(\phi\to \phi-(e/c)\frac{\partial f}{\partial t} \) when \(\Psi\) is changed by a phase was first given by V. Fock (1927). The analogy of this group of transformations to the Weyl theory on gravitation and electricity was pointed out by F. London (1927). The connection of this group to charge conservation was pointed out by Weyl while writing variational principle for the wave equation. [See Pauli as above.]
|
|
20-02-08 16:02:30 |
n |
||Message]