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Proofs Diamond Point

THE AVAILABLE RESOURCES ARE BEING REORGANIZED
All links may not be available at this time

 

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Mathematical Physics Resources

  • Complex Variables-Home
  • Finite Dimensional Vector Spaces-Home
  • Group Theory-Home
  • Matrices-Home
  • Ordinary Differential Equations-Home
  • Partial Differential Equations-Home
  • Orthogonal Polynomials-Home
  • Fourier Series, Fourier Transform-Home
  • Set Theory-Home

Physics Resources

 

 
kapoor's picture 21-09-27 11:09:42

Proofs Warehouse-III Utilities For Learning

 

Points to Remember [PTR]

Definitions to Remember  [DEF]

Coming in due course

Theorems and other results to Remember [THM]

Coming in due course

Module Summary [SUM]

Coming in due course

Black Boxes [BBQ] and Anti Black Boxes [ABB]

Coming in due course

Short-Examples [XMP]

Recommended for Further Reading [RFR]

Notes and References [NTR]

Coming in due course

 

kapoor's picture 21-09-24 09:09:21

Repository :: Quantum Mechanics Problem Sets

QM-05 Rise of Quantum Mechanics

QM-06 Postulates of Quantum Mechanics

QM-07 Canonical Quantization

QM-10 Coordinate and Momentum Representations

QM-13 Potential Problems in One Dimension

QM-17 Angular Momentum in Quantum Mechanics

QM-18 Quantum Theory of Scattering - Born Approximation

QM-20 Spin and Identical Particles

QM-21 Rayleigh Ritz Variation Method

QM-22 Wentzel Kramers Brillouin Approximation

kapoor's picture 21-09-18 02:09:45

QFT01/LEC01 Classical Fields --- Analytical Dynamics --- Symmetries

kapoor's picture 21-09-14 18:09:55

Stockpile :: Quantum Field Theory

Lessons

Problem Solving

Assessment & Evaluation

 To be uploaded soon

 

Click here to go to Self Paced Courses for Newbies

About Stockpiles:

  • There is one stockpile for each area of Physics and of Mathematical Physics
  • The stockpiles of resources for teaching and learning, and problem solving.
  • Items available under Lessons, Problem Solving and Evaluation and Assessment are
    designed as stand alone,  independent resources.
  • Stockpile are useful for those who have some exposure to the subject.
    Recommended for students attending a course and for teachers.
  • Choose a topic and start learning, or start solving problems.
  • Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
  • The Newbies will find Self Paced Courses more useful.

kapoor's picture 21-08-27 15:08:04

A Temporary Collection

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

Stockpile --- Quantum Mechanics

Lessons

  • QM01-Classical Theories Revisited
  • QM-02 A Quick Review of Vector Spaces
  • QM-03 Inner Product Spaces
  • QM-05 Rise of Quantum Mechanics
  • QM-06 General Structure of Quantum Mechanics
  • QM-07 Canonical Quantization
  • QM-08 Applications of Canonical Commutation Relations
  • QM-09 Time Evolution in Quantum Mechanics
  • QM-10 Coordinate and Momentum Representations
  • QM-11 Schrodinger Equation in Coordinate Representation
  • QM-12 Free Particle in One Dimension
  • QM-13 Potential Problems in One Dimension
  • QM-14 Problems in Higher Dimensions
  • QM-15 Methods of Exact Solution
  • QM-16 Spherically Symmetric Potential Problems
  • QM-17 Addition of Angular Momenta
  • QM-18 Integral Equation, Born Approximation
  • QM-19 Partial Wave Analysis
  • QM-20 Spin and Identical Particles 
  • QM-21 Rayleigh Ritz Variation Method
  • QM-22* Wentzel Kramers Brillouin Approximation
  • QM-23 Time Independent Perturbation Theory
  • QM-24 Approximation Schemes for Time Dependent Problems
  • QM-25 Semi Classical Theory of Radiation
  • QM-33 Relativistic Quantum Mechanics

Problem Solving Sessions

Solved Examples

To be added


About Stockpiles:

  • There is one stockpile for each area of Physics and of Mathematical Physics
  • The stockpiles of resources for teaching and learning, and problem solving.
  • Items available under Lessons, Problem Solving and Evaluation and Assessment are
    designed as stand alone,  independent resources.
  • Stockpile are useful for those who have some exposure to the subject.
    Recommended for students attending a course and for teachers.
  • Choose a topic and start learning, or start solving problems.
  • Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
  • The Newbies will find Self Paced Courses more useful.

kapoor's picture 21-08-14 17:08:59

Stockpile :: Classical Mechanics

TABLE OF CONTENTS


About Stockpiles:

  • There is one stockpile for each area of Physics and of Mathematical Physics
  • The stockpiles of resources for teaching and learning, and problem solving.
  • Items available under Lessons, Problem Solving and Evaluation and Assessment are
    designed as stand alone,  independent resources.
  • Stockpile are useful for those who have some exposure to the subject.
    Recommended for students attending a course and for teachers.
  • Choose a topic and start learning, or start solving problems.
  • Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
  • The Newbies will find Self Paced Courses more useful.

kapoor's picture 21-08-13 12:08:40

Stockpile :: Mathematics for Physicists

TABLE OF CONTENTS

Lessons

Solved Examples

TO BE UPLOADED

Evaluation and Assessment


About Stockpiles:

  • There is one stockpile for each area of Physics and of Mathematical Physics
  • The stockpiles of resources for teaching and learning, and problem solving.
  • Items available under Lessons, Problem Solving and Evaluation and Assessment are
    designed as stand alone,  independent resources.
  • Stockpile are useful for those who have some exposure to the subject.
    Recommended for students attending a course and for teachers.
  • Choose a topic and start learning, or start solving problems.
  • Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
  • The Newbies will find Self Paced Courses more useful.

kapoor's picture 21-08-13 12:08:04

Stockpile :: Vector Spaces

Lessons

 Problem Sessions

 Coming soon

 Evaluation and Assessment

 Coming soon

 

About Stockpiles:

  • There is one stockpile for each area of Physics and of Mathematical Physics
  • The stockpiles of resources for teaching and learning, and problem solving.
  • Items available under Lessons, Problem Solving and Evaluation and Assessment are
    designed as stand alone,  independent resources.
  • Stockpile are useful for those who have some exposure to the subject.
    Recommended for students attending a course and for teachers.
  • Choose a topic and start learning, or start solving problems.
  • Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
  • The Newbies will find Self Paced Courses more useful.

kapoor's picture 21-08-13 12:08:28

Stockpile ::Newtonian Mechanics

Lessons

Problem Sessions

 COMING SOON

Evaluation and  Assessment

COMING SOON

More ....

About Stockpiles:

  • There is one stockpile for each area of Physics and of Mathematical Physics
  • The stockpiles of resources for teaching and learning, and problem solving.
  • Items available under Lessons, Problem Solving and Evaluation and Assessment are
    designed as stand alone,  independent resources.
  • Stockpile are useful for those who have some exposure to the subject.
    Recommended for students attending a course and for teachers.
  • Choose a topic and start learning, or start solving problems.
  • Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
  • The Newbies will find Self Paced Courses more useful.

kapoor's picture 21-08-13 12:08:31

Stockpile :: Complex Variables --- Problem Solving Sessions

 About Stockpiles:

About Stockpiles:

  • There is one stockpile for each area of Physics and of Mathematical Physics
  • The stockpiles of resources for teaching and learning, and problem solving.
  • Items available under Lessons, Problem Solving and Evaluation and Assessment are
    designed as stand alone,  independent resources.
  • Stockpile are useful for those who have some exposure to the subject.
    Recommended for students attending a course and for teachers.
  • Choose a topic and start learning, or start solving problems.
  • Each module will cover all aspects of teaching and learning for a set of a small number of closely related topics.
  • The Newbies will find Self Paced Courses more useful.

kapoor's picture 21-08-13 08:08:51

Self Paced Course :: Quantum Field Theory for Newbies

kapoor's picture 21-08-08 21:08:43

Proofs Help and Information


Click for  complete list of all collections

TABLE OF CONTENTS

kapoor's picture 21-08-01 19:08:34

Wonderful World of WWW

 


 Links to lot of interesting sites are given. At present it is all unclassified. 

 सकल पदारथ एहि जग माही, कर्महीन नर पावत नाही


Click for  complete list of all collections
kapoor's picture 21-07-23 20:07:50

Proofs Archives

TABLE OF CONTENTS

Scanned Resources for Courses

Phy-611:: Assignments with Solutions of Course in QM given by T. V. Ramakrishnan (1967)

MORE SETS WILL APPEAR HERE SOON

Resources Contributed by Prof. H.S. Mani

Prof. Pankaj Sharan ::  Lectures on Topics In Electrodynamics Course given at Jamia Milia Islamia

Sunday Physics Lectures --- Prof. S.V.M. Sathyanarayana

My Courses at Different Institutions  

Statistical Mechanics ---- IIT Bhubnewsar (2017) ---- With K.P. N. Murthy

Click here to go to the  Statistical Mechanics Page


  • This collection has a variety of archived teaching resources.
  • Contributed by friends colleagues and by some of my teachers at different institutions. 
  • Resources of selected courses given by me at different institutions.
  • The resources can be downloaded
  • Online viewing of resources here is not supported.

List of all collections


kapoor's picture 21-07-23 20:07:50

Repository-III :: Diverse Resources for Evaluation and Assessment

 TABLE OF CONTENTS

The Evaluation and Assessment resources are broadly classified into three cognitive levels.

  • This is a repository of resources for evaluation and assessment.
  • Teachers and experts will find it useful for planning tests, quiz and examinations. 
  • This collection is  meant primarily for internal use of Proofs program.
  • One of the important features  of this collection is that the items included are broadly classified according to the level of difficulty and usage etc.
  •  When development stage of  a critical minimum mass is reached, this repository is expected to serve a variety of purposes such as diagnostic, formative and summative assessments.
kapoor's picture 21-05-23 00:05:48

Complex Variables :: Solutions and Errata

Complex Variables --- Principles and Problem Sessions  SOLUTIONS and ERRATA

Chapter-1 Complex Numbers

Chapter-2 :: Elementary Functions and Differentiation

Chapter 3 :: Functions with branch cut singularity

Chapter 4 :: Integration in Complex Plane

Chapter 5 :: Cauchy Integral Formula

Chapter 6 :: The Residue Theorem

Chapter 7 :: Contour Integration

Errata for Complex Variables ----Principles and Problem Sessions


kapoor's picture 21-05-22 14:05:12

Proofs Warehouse -I


This Warehouse is a collection of resource items for internal use and development of Proofs programme.  Some of the items appearing here are being  developed on experimental basis. Most of the items in this tree are likely to  be  moved, or removed, in future.
Still some other items appearing here will serve as  supplementary resources for a course being taught at  a given time. These may not remain available after the course is over.


Click here to go the collection and see the Table of Content

kapoor's picture 21-05-20 16:05:15

Collection of Clusters ---- Resource for Learning by a Topic

About  clusters : A number of things of same sort gathered together or growing together.

This collection has loosely connected, many times overlapping resources arranged according a chosen topics.

Dirac Delta function

 

Green Function

  1. Basic Definition A simple example
  2. Calculating Green Function
  • Using Fourier Transform
  • Free Particle Schrodinger Equation
  • Green Function for Klein Gordon Equation
  • Eigenfunction Expansion
  • Separation of Variables; Example from electrodynamics
  • Uniqueness Theorem; Method of Images
  • Applications
    Converting to an integral equation
    Boundary Value Problems in EM Theory
    Relation to Energy Eigenvalues and Eigenfunctions
  • AND MORE
  •  Vectors  and Tensors

    Vectors --- by ---- John Peacock  Good Introduction for Newbies

    What is a tensor --- by  --- Johann Colombano-Rut Good Introduction for Newbies

    kapoor's picture 21-05-20 04:05:25

    Pages