Assignment 3
PH 3201 Basic Statistical Physics
The assignment is due on 1 March, 2016.
1. A particle can exist in only three states labelled by n = 1, 2, 3. The energies n of these states
depend on a parameter x 0, with two of the energies degenerate.
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Study of Betaray
Absorbtion in matter by
Betaray Sources
2/12/2016
Nuclear Physics Laboratory PH3205
Subhayu Bagchi, Satyaki Kundu
15IP007
15IP015
Theory: The GeigerMueller counter (commonly referred to as the GM counter, or
simply Geiger tube) is one
Chapter 2
Basic Differential Geometry
Abstract This first chapter recapitulates the basic concepts of differential geometry
that are used throughout the book. This encompasses differentiable manifolds, tensor fields, affine connections, metric tensors, ps
Scilab Textbook Companion for
Concepts of Physics (Volume  1)
by H. C. Verma1
Created by
Patel Chaitanya Kishorbhai
B. Tech.
Others
Dharmsinh Desai University
College Teacher
Prarthan Mehta
CrossChecked by
K. V. P. Pradeep
May 26, 2016
1 Funded
by a gra
11
Heat and Temperature
The length of mercury column at 30C is l0. Suppose the
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length of the mercury column, if it were at 0C, is l0.
Then,
 75 cm [1 + (a  J) (30C)]
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[1 + a(30C)]
= 75 cm[1+Y(30C)]
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PH101 Physics
Answer to student questions:
1. The operator
in Quiz2 has dimensions of angular momentum. Is it
the angular momentum operator? Why not?
It is true that has dimensions of angular momentum. But the form above is not Hermitian
as many of you ha
Physics Discipline
IIT  Gandhinagar
General Physics (Code: PH101)
Tutorial 1
January 5, 2016
Name:
~ 0 i = 3 Tij A
~ the transformation is represented as A
~ j where T is the
1. For any vector A,
i,j=1
transformation matrix. Rotation is also a form of t
Physics 310
Notes on Coordinate Systems and Unit Vectors
A general system of coordinates uses a set of parameters to define a vector. For example, x, y
and z are the parameters that define a vector r in Cartesian coordinates:
r =
x + y + kz
(1)
Similarly
The story so far
We have been looking at familiar things like
electric and magnetic fields in a new language of
multivariate calculus
For electrostatics (unchanging charge
distributions, steady currents):
Poisson's equation
For magnetostatics
From the a
Warm up
It has been a week
Revising Ampere's law
Calculate the line integral
for the following two closed
loops around an infinite wire
Note that loops are imagined paths in space (mathematical
constructs)
Point to ponder
Griffith Sec 7
We have been sayin
PH101 Physics
Anand Sengupta
One of you have posted a good question which I thought I should share with everyone.
Question
When we are operating an operator on a wave function, we get any one of the possible eigenfunctions
and since we know the operator w
The geometrical significance of the Laplacian
Daniel F. Styer
Department of Physics and Astronomy,
Oberlin College, Oberlin, Ohio 44074
(Dated: 20 July 2015; accepted 22 October 2015)
Abstract
The Laplacian operator can be defined, not only as a different
_,f
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(.i I l. Pulse Signals in Nuclear Electronics
As rve have seen, ntodern detectors provide a variety o[ information on cletected radiation in the form olelectrical sienals. In order to extracl this information, however, the
signal must be
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I
lntroduction
GDM '10 is a measurement system for detection and energy determination
of gamma radiation from
radioactive sources or samples. The system makes use of an IBM
compatible c
Advanced Quantum Mechanics(PH3203)
AssignmentI: Solution
Solution for Q1
The perturbation hamiltonian in the 1D SHO is given as:
HI =
x3 + x4
(1)
One need to expand the term using creation and annihilation operators a and a using:
r
~
x =
(a + a)
2m
(2)
Advanced Quantum Mechanics(PH3203)
AssignmentII: Solution
Solution for Q1
The initial state which is the ground state of infinite 1D square well of length L, is given by :
r
x
2
1 (x) =
sin
L
L
This can be written as a linear combination of eigenstates
Advanced Quantum Mechanics
AssignmentII
1. A particle of mass m is in the ground state of the 1D infinite square well
potential of length L.
V (x) =
0
0xL
(1)
otherwise.
At t=0 the barrier, located at x=L is instantaneously pulled to x=2L so that the
len
Assignment 2
PH 3201 Basic Statistical Physics
The assignment is due on 8 February, 2016.
1. In how many dimensions will the volume of hyperspherical shell between R and
R+R where R/R = 106 be larger than the volume of the entire hypersphere
of radius R?
Assignment 1
PH 3201 Basic Statistical Physics
The assignment is due on 2 February, 2016.
1. Determine the Legendre transform of the curve y = ax3 , where a is a constant.
2. The so called grand potential = (T, V, ) is defined as a Legendre transform with
Advanced Quantum Mechanics
AssignmentI
January 13, 2016
1. Consider a harmonic oscillator of frequency . So, the unperturbed Hamiltonian reads
H0 =
P 2
1
2
+ m 2 X
2m 2
(1)
3 + X
4 where , are small
Now consider a perturbation of the form HI = X
parame
PH3201 (BASIC STATISTICAL MECHANICS)
(SOLUTIONS)
Assignment 1
Q 1.
Determine the Legendre transform of the curve y ax3 , where a is a constant.
Ans.
Let m
dy
m
3ax 2 , x ( )1/2 , we define c y mx
dx
3a
Then c ax3 3ax 2 .x 2ax3 2a(m / 3a)3/2
3/2
Then the
Experiment No. 3
Observation of Pancharatnam phase of light using a laser interferometer
Aim: Studying the Pancharatnam phase for polarized light by a simple arrangement with
Michelson interferometer. Using linear polarizer and quarter waveplates, one wil
FARADAY EFFECT
Magnetooptic
Experiment Manual
Website: www.holmarc.com
Email: [email protected]
Experiment
Experiment no.
no. 77
Faraday Effect Apparatus
Model No: HOEDP04
Experiments
To determine the angle of rotation as a function of mean fluxdens
Diffraction at Ultrasonic
Waves
February 7, 2005
Diffraction at Ultrasonic Waves
Contents
1 Introduction
3
2 Production of Ultrasound
3
3 Propagation of Sound Waves
8
3.1
Solution of the Wave Equation for Periodical Excitation . . .
11
4 Diffraction of Li
Determination of Polarization properties of Spatial Light Modulator (SLM) using Stokes
Vector Polarimetry
Aim:
Determination of linear retardance and Optical rotation of a Spatial Light Modulator (SLM)
measuring various Stokes vector elements.
1. INTRODUC