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.
1
1
Experiment No. 7
Objectives: 1) Determination of the wavelength of an unknown laser source
from the optical diffraction by ultrasonics in liquid.
2) Determine the wavelength of sound in liquids, and from this calculate the
sound velocity using ultrasonics
Experiment No. 6
A study of single and multimode fibers.
Objectives: To study the quality and quantity of information carried by single and multimode
fibers.
In this experiment we use optical fibers for propagation of laser light, and test out the
optical
23Jun99
2
08. Faraday
3. The index of refraction of flint glass for each of the five bright lines of the emission
spectrum of mercury vapor.
4. The constants of the formula which expresses the index of refraction as a function of
wavelength, from the data
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User's Guide GDM 10
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
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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
Ex& 3
Para Nuclear Spectrometer Model
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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
4.2 Effect of the SLM
Certainly, to understand what phase is accumulated to the Electric field, it is necessary
to correctly quantify the evolution of the Electric field while passing through the SLM.
For this reason, we will construct the Jones matrix of
Expt no. 1
MachZehnder interferometer
The MachZehnder interferometer is a
particularly simple device for
demonstrating interference by division of
amplitude. A light beam is first split into
two parts by a beamsplitter and then
recombined by a second beam
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
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: mail@holmarc.com
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
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