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Title+Summary	Name	Date
[2023CNG/QM-Pset-01] Problem Set 1 Node id: 5890page	kapoor	23-04-17 07:04:51	n
[CNG/2023QM-03002] Postulates of Quantum Mechanics Node id: 5889page	kapoor	23-04-17 07:04:56	n
[2023CNG/QM-02001] Summary of Lectures 1 and 2 Node id: 5888page	kapoor	23-04-17 07:04:47	n
[CNG/QM-LECTURE-01] Discovering Hilbert Space Part-I Node id: 5885page In this two part lectures, we provide an understanding of vectors appearing as the description of physical states. In the first part we draw attention to the fact that states, dynamical variables and laws of motion are present as part of every physical theory. We illustrate this with examples of Newtonian mechanics and classical mechanics. We then go over to the conceptual changes brought in by the process of transition to quantum theory. The conceptual changes that have important implications are Wave particle duality Principle of superposition of states Indeterminacy and probabilistic nature of physical theory Simultaneous measurement and the uncertainty principle	kapoor	23-04-11 14:04:41	n
[CNG/QM-Lecture-02] Discovering Hilbert Space --- Part-II Node id: 5886page In this lecture we show how basic assumptions about probabilities and about average values naturally lead to introduction of operators in our discussion. This discussion is applicable to those dynamical variables that can be measured simultaneously. The canonical quantization rule, the assumption commutation relations, is needed to complete the picture of operators in quantum mechanics.	kapoor	23-04-11 14:04:52	n
[2023CNG/QM-02002] Lecture II-2 An Online Course on Quantum Mechanics Node id: 5884page ONLINE COURSE ON QUANTUM MECHANICS LECTURE II-2 (APRIL 9, 2023) Structure Introducing The Scalar Product	kapoor	23-04-11 09:04:52	n
[2023CNG/QM-02001] Lecture 2-1 An Online Course On Quantum Mechanics Node id: 5883page ONLINE COURSE ON QUANTUM MECHANICS LECTURE II-1 (APRIL 9, 2023) Understanding Appearance of Hilbert Space in Quantum Mechanics	kapoor	23-04-11 09:04:35	n
[2023CNG/QM-01002]Lecture I-2 An Online Course on Quantum Mechanics Node id: 5881page An ONLINE COURSE ON QUANTUM MECHANICS LECTURE I-2 (APRIL 2, 2023) NEW CONCEPTS BROUGHT IN BY QUANTUM MECHANICS	kapoor	23-04-11 09:04:15	n
[2023CNG/QM-01001] Lecture I -1 ---- An online course on Quantum Mechanics Node id: 5880page ONLINE COURSE ON QUANTUM MECHANICS LECTURE I-1 (APRIL 2, 2023) Structure of Physical Theories	kapoor	23-04-11 09:04:01	n
[2023CNG/QM-TOP] Quantum Mechanics --- CSIR-NET-GATE Node id: 5867collection About this set of lectures This is set of online lectures given in SUNDAY PHYSICS WhatsApp Group. For whom it will be beneficial It is designed to be useful for those who plan to appear fpr competitive examinations such as CSIR-NET-GATE (CNG) etc. Prerequisites participants had an introductory course in quantum mechanics and they they are interested in preparing for CSIR-NET-GATE. What will be covered and how We will summarize and discuss the important results from text book level quantum mechanics. All detailed derivations and proofs will be skipped. it is hoped that, if required, the audience can fill the details that have been skipped. The main objective of these lectures is to facilitate preparation of CNG examinations. With a focus on solving multiple choice questions (MCQ).	kapoor	23-04-08 16:04:03	n
[MCQ/QM-13001] energy eigenfucntion of 2 dim oscillator Node id: 5875page A particle of mass \(m\) in potential \(V(x,y)=\frac{1}{2}m\omega^2(4x^2 + y^2)\) is in the energy eigen-state with \(E=\frac{5}{2}\hbar \omega\), then is eigenfunction will be \(y \exp\Big(-\frac{m\omega}{2\hbar}(2x^2+y^2)\Big)\) \(x \exp\Big(-\frac{m\omega}{2\hbar}(2x^2+y^2)\Big)\) \(y \exp\Big(-\frac{m\omega}{2\hbar}(x^2+y^2)\Big)\) \(xy \exp\Big(-\frac{m\omega}{2\hbar}(x^2+y^2)\Big)\)	kapoor	23-03-30 21:03:58	n
[NOTES/ME-02000] ROTATION GROUP IN THREE DIMENSIONS Node id: 5872page This set of notes introduces the rotation group in three dimensions. Important results needed for applications to mechanics problems are derived Applications include Vectors and Tensors Motion in Inertial Frames Rigid Body Dynamics Group Theory	kapoor	23-03-29 12:03:33	n
[LSN/EM-01101] Motion of Point Charges in Electric and Magnetic Fields Node id: 5869curated_content	kapoor	23-03-26 07:03:15	n
[PTK/QM-05001] Structure of Physical Theories-I Node id: 5868page	kapoor	23-03-23 08:03:08	n
[NOTES/EM-01004]--Cyclotron Motion Node id: 5508page The cyclotron was invented to accelerate charged particles by means of electric field as they move in a circle due to a magnetic field. Here the parameters of orbit of a charged particle in a magnetic field are obtained.	AK-47	23-03-17 18:03:08	n
[NOTES/EM-01003]-Thomson’s parabola method Node id: 5507page The parabola method was used to measure charge to mass ratio of the electron by measuring the deflection of the electrons when they pass through a uniform electric field. The method is described here and an expression for \(e/m\) in terms of the deflection of the electron.	AK-47	23-03-17 18:03:37	n
[NOTES/EM-01005]--Defining the Electric and Magnetic Fields Node id: 5509page We use the Lorentz force on a unit positive charge to define the electric and magnetic fields.	AK-47	23-03-17 18:03:59	n
[GUIDE/QM-TOP] QUANTUM MECHANICS ---- SUNDAY PHYSICS Node id: 5864page About this page: This is a page of all bundled resources as a Guide to refresh subject matter (QM). These resources are created with a view to help in preparation for competitive examinations like NET, GATE and CSIR fellowships.	kapoor	23-03-16 14:03:40	n
[NOTES/EM-01010] Lorentz Force Node id: 5861page The expression for force on a charged particle in electric and magnetic fields is given. This is known as the Lorentz force.	kapoor	23-03-09 13:03:53	n
[NOTES/EM-12003]-Fields of a Moving Point Charge Node id: 5761page $\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1\|#2\|#3\rangle}$ $\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$ $\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$ $\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$ $\newcommand{\average}[2]{\langle#1\|#2\|#1\rangle}$ The electromagnetic field tensor \(F_{\mu\nu}\) is a second rank Lorentz tensor. It transformation properties are used to derive the transformation properties of electric and magnetic fields under Lorentz transformations. The equation of motion of a relativistic charged particle are written down in a covariant notation.	AK-47	23-03-03 21:03:38	n

In this two part lectures, we provide an understanding of vectors appearing as the description of physical states. In the first part we draw attention to the fact that states, dynamical variables and laws of motion are present as part of every physical theory. We illustrate this with examples of Newtonian mechanics and classical mechanics.

We then go over to the conceptual changes brought in by the process of transition to quantum theory.

The conceptual changes that have important implications are

Wave particle duality
Principle of superposition of states
Indeterminacy and probabilistic nature of physical theory
Simultaneous measurement and the uncertainty principle

In this lecture we show how basic assumptions about probabilities and about average values naturally lead to
introduction of operators in our discussion. This discussion is applicable to those dynamical variables that can be measured simultaneously. The canonical quantization rule, the assumption commutation relations, is needed to complete the picture of operators in quantum mechanics.

ONLINE COURSE ON QUANTUM MECHANICS

LECTURE II-2 (APRIL 9, 2023)

Structure Introducing The Scalar Product

ONLINE COURSE ON QUANTUM MECHANICS

LECTURE II-1 (APRIL 9, 2023)

Understanding Appearance of Hilbert Space in Quantum Mechanics

An ONLINE COURSE ON QUANTUM MECHANICS

LECTURE I-2 (APRIL 2, 2023)

NEW CONCEPTS BROUGHT IN BY QUANTUM MECHANICS

ONLINE COURSE ON QUANTUM MECHANICS

LECTURE I-1 (APRIL 2, 2023)

Structure of Physical Theories

About this set of lectures

This is set of online lectures given in SUNDAY PHYSICS WhatsApp Group.

For whom it will be beneficial

It is designed to be useful for those who plan to appear fpr competitive examinations
such as CSIR-NET-GATE (CNG) etc.

Prerequisites

participants had an introductory course in quantum mechanics and they they are interested in preparing for CSIR-NET-GATE.

What will be covered and how

We will summarize and discuss the important results from text book level quantum mechanics. All detailed derivations and proofs will be skipped. it is hoped that, if required, the audience can fill the details that have been skipped.

The main objective of these lectures is to facilitate preparation of CNG examinations.
With a focus on solving multiple choice questions (MCQ).

A particle of mass $m$ in potential
$V(x,y)=\frac{1}{2}m\omega^2(4x^2 + y^2)$ is in the energy eigen-state
with $E=\frac{5}{2}\hbar \omega$, then is eigenfunction will be

$y \exp\Big(-\frac{m\omega}{2\hbar}(2x^2+y^2)\Big)$
$x \exp\Big(-\frac{m\omega}{2\hbar}(2x^2+y^2)\Big)$
$y \exp\Big(-\frac{m\omega}{2\hbar}(x^2+y^2)\Big)$
$xy \exp\Big(-\frac{m\omega}{2\hbar}(x^2+y^2)\Big)$

This set of notes introduces the rotation group in three dimensions.

Important results needed for applications to mechanics problems are derived

Applications include

Vectors and Tensors
Motion in Inertial Frames
Rigid Body Dynamics
Group Theory

The cyclotron was invented to accelerate charged particles by means of electric field as they move in a circle due to a magnetic field. Here the parameters of orbit of a charged particle in a magnetic field are obtained.

The parabola method was used to measure charge to mass ratio of the electron by measuring the deflection of the electrons when they pass through a uniform electric field. The method is described here and an expression for $e/m$ in terms of the deflection of the electron.

We use the Lorentz force on a unit positive charge to define the electric and magnetic fields.

About this page:

This is a page of all bundled resources as a Guide to refresh subject matter (QM).
These resources are created with a view to help in preparation for competitive examinations like NET, GATE and CSIR fellowships.

The expression for force on a charged particle in electric and magnetic fields is given. This is known as the Lorentz force.

$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$
$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$ $\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$ $\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$ $\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$

The electromagnetic field tensor $F_{\mu\nu}$ is a second rank Lorentz tensor. It transformation properties are used to derive the transformation properties of electric and magnetic fields under Lorentz transformations. The equation of motion of a relativistic charged particle are written down in a covariant notation.

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Browse & Filter

[2023CNG/QM-Pset-01] Problem Set 1

[CNG/2023QM-03002] Postulates of Quantum Mechanics

[2023CNG/QM-02001] Summary of Lectures 1 and 2

[CNG/QM-LECTURE-01] Discovering Hilbert Space Part-I

[CNG/QM-Lecture-02] Discovering Hilbert Space --- Part-II

[2023CNG/QM-02002] Lecture II-2 An Online Course on Quantum Mechanics

[2023CNG/QM-02001] Lecture 2-1 An Online Course On Quantum Mechanics

[2023CNG/QM-01002]Lecture I-2 An Online Course on Quantum Mechanics

[2023CNG/QM-01001] Lecture I -1 ---- An online course on Quantum Mechanics

[2023CNG/QM-TOP] Quantum Mechanics --- CSIR-NET-GATE

[MCQ/QM-13001] energy eigenfucntion of 2 dim oscillator

[NOTES/ME-02000] ROTATION GROUP IN THREE DIMENSIONS

[LSN/EM-01101] Motion of Point Charges in Electric and Magnetic Fields

[PTK/QM-05001] Structure of Physical Theories-I

[NOTES/EM-01004]--Cyclotron Motion

[NOTES/EM-01003]-Thomson’s parabola method

[NOTES/EM-01005]--Defining the Electric and Magnetic Fields

[GUIDE/QM-TOP] QUANTUM MECHANICS ---- SUNDAY PHYSICS

[NOTES/EM-01010] Lorentz Force

[NOTES/EM-12003]-Fields of a Moving Point Charge

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