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\(\S\S\) 7.6 Q[4] \(\int_0^\infty \frac{x^p}{x^2+a^2}\, dx\)

Node id: 1865page

\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.6 Q[3] \(\int_0^\infty \frac{x^{p-1}}{(x+1)^2}\, dx\)

Node id: 1864page
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\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.6 Q[1] \(\int_0^\infty \frac{x^{\frac{1}{2}}}{(x+4)(x+25)}\)

Node id: 1862page
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\(\S\S\) 7.6 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]  [13]  [14]

kapoor's picture 21-08-21 23:08:05 n

\(\S\S\) 7.9 Q[6] \(\int_0^\infty \frac{x\{\exp(-qx) + \exp[(q-p)x]\}}{1- \exp(-px)}\, dx \)

Node id: 1892page

\(\S\S 7.9\) : : [1]  [2]  [3]  [4]  [5]  [6]  [7,8,9,10] [11]  [12]  [13]  [14]

kapoor's picture 21-08-21 16:08:05 n

VS-Problem Sets-06 -- Matrix Representation

Node id: 1819page
  1. Groups, Fields, Vector Spaces,  Subspaces
  2. Linear independence, basis and dimension
  3. Linear functionals
  4. New Vector Spaces From Old
  5. Linear operators
  6. Matrix Representation in Vector Spaces
  7. Canonical Forms
kapoor's picture 21-08-21 16:08:05 n

VS-Problem Sets-03 -- Linear Functionals

Node id: 1817page
kapoor's picture 21-08-21 16:08:05 n

VS-Problem Sets-02 Linear Independence, Basis and Dimesnsion

Node id: 1816page
  1. Groups, Fields, Vector Spaces,  Subspaces
  2. Linear independence, basis and dimension
  3. Linear functionals
  4. New Vector Spaces From Old
  5. Linear operators
  6. Matrix Representation in Vector Spaces
  7. Canonical Forms
kapoor's picture 21-08-21 16:08:05 n

VS-Problem Sets-01 -- Groups, Fields Vector Spaces

Node id: 1815page
  1. Groups, Fields, Vector Spaces,  Subspaces
  2. Linear independence, basis and dimension
  3. Linear functionals
  4. New Vector Spaces From Old
  5. Linear operators
  6. Matrix Representation in Vector Spaces
  7. Canonical Forms
kapoor's picture 21-08-21 16:08:05 n

\(\S 14.1\) Particle in Three Dimensional Box

Node id: 1095page

Quantum Mechanics Lecture Notes - 14 HOME PAGE
Problems in Higher Dimensions

GO TO X-ROADS QM-14

kapoor's picture 21-08-21 13:08:57 n

LEC/QM-Mod19 Partial Wave Analysis

Node id: 1059page
kapoor's picture 21-08-21 13:08:57 n

LEC/QM-Mod18 Integral Equation, Born Approximation

Node id: 1058page
kapoor's picture 21-08-21 13:08:57 n

I-1 Overview of Module-I

Node id: 4559page

Syllabus
Classical fields; Functional derivatives; Action principle for fields. Lagrangian form of dynamics;
Noether's theorem; Hamiltonian dynamics; Poisson brackets.


Prerequisites
An Elementary exposure to the following topics will be sufficient to get started on this unit.

Classical fields; Examples of Classical fields; Eelectromagnetic field as example of fields; Maxwell's equations as  field equations.

 Relativistic quantum mechanics; Klein Gordon equation; Dirac equation;

Quantum mechanics of a point particle; Time dependent Schrodinger equation.


Different resources are planned to be made available in multiple formats [ audio / video / article style / Slides style etc]

kapoor's picture 21-08-17 04:08:45 n

Submit a WebForm:: Classical and Quantum Systems

Node id: 4576page
kapoor's picture 21-08-14 20:08:28 n

ODE Special Purpose Packs

Node id: 1668page
kapoor's picture 21-08-14 19:08:46 n

Chemistry formulae and equations

Node id: 4580page

The site supports typesetting chemical formulae and equation using MathJax extension mhchem.

Here are a few examples taken from the mhchem manual site.

 

ranjan's picture 21-08-14 00:08:08 n

MM-Sub-01 Topics in Set Theory

Node id: 4579draftnode
shivahcu's picture 21-08-12 16:08:15 n

Help and Information --- About Lessons in Proofs Project

Node id: 4574page
kapoor's picture 21-08-07 21:08:54 n

Submit A WebForm:: Why Interpret Schrodinger Equation as Classical Field Equation?

Node id: 4577page
kapoor's picture 21-08-06 13:08:48 n

Submit A WebForm :: Describe What is a Classical Fields?

Node id: 4575page
kapoor's picture 21-08-06 12:08:20 n

Lesson/CM03-01 Action Principle

Node id: 4396page

 $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}\newcommand{\dd}[2][]{\frac{d#1}{d#2}}${}$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}${}$\newcommand{\ket}[1]{|#1\rangle}$ {} $\newcommand{\bra}[1]{\langle #1|}$

kapoor's picture 21-08-05 08:08:04 y

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