Assignment:1
Maxwells equations:
1.
2.
Derive expressions for the time averaged energy density for the electric and magnetic
field as well as the time averaged Poynting vector. You will need to start from
conservation of energy in small volume element in
Assignment 4
Polarization and optical activity:
1.
Describe completely the state of polarization of each of the following waves and
write it in the matrix form.
2.
Consider
disturbance
given
by
the
expression
E ( z , t ) = i cos (t ) + j cos t E0 sin (
Assignment 6
Diffraction:
1.
Referring back to the multiple antenna system on p.451 (Hecht), compute the
angular separation between successive lobes or principal maxima and the width of
the central maximum.
2.
A collimated beam of microwaves impinges on a
Assignment 3:
1. The equation for a driven damped oscillator is
m x + m x + m02 x = mqE ( t )
Considering a bound electron as an oscillator,
(a) Explain the significance of each term.
(b) Let E ( t ) = E0 exp ( it ) and the trial solution, x ( t ) = x0 ex
Assignment 5
Scattering, Interference and Coherence:
1.
Work your way through an argument using dimensional analysis to establish the 4
dependence of the percentage of light scattered in Raleigh Scattering.
2.
A white floodlight beam crosses a large volum
Assignment 7
Nonlinear Optics and Ultrafast Optics:
1.
What is the electric field experienced by an electron in a hydrogen atom?
2.
Show that the maximum electric-field intensity, Emax that exists for a given
irradiance I is Emax
I
= 27.4
n
0.5
in units
Assignment 2:
As you drive by an AM radio station, you notice a sign saying that its antenna is 112 m
high. If this height represents one quarter-wavelength of its signal, what is the frequency
of the station?
What is your favorite FM radio stations frequ
Expectation value of the quadrupole operator
The electric quadrupole moment of a nuclear state is defined as the
expectation value of Q op in the substate of maximum M.
Qd JM J Q op JM J
where
Q op e(3 z 2 r 2 )
er 2 (3cos2 1)
16 2
er Y20 ( , )
5
Since
Allowed and Forbidden transitions
The emission of the electron or positron from the nucleus is hindered by
the Coulomb and angular momentum barriers
(similar to the case for the -decay)
Minimum hinderance when
angular momentum for electron/positron
(e ) 0
Hamiltonian:
2
H
V
2
H d Ed d
d a 3 S1 b 3 D1
H11 3S1 H 3S1
Hamiltonian Matrix
H22 3D1 H 3D1
H 11
H
H 21
H 12
H 22
where
H12 H21 3D1 H 3S1
In order to have a non-vanishing off diagonal matrix elements, the
potential V must have a component (Vtens
Ground and excited states of nuclei
A nucleus is a complicated structure of interacting nucleons.
An appropriate quantum mechanical Hamiltonian H can be written
down in terms of nuclear and coulomb interactions.
The Hamiltonian will have a series of eigen
PH 505 Introduction to Nuclear and Particle Physics
Prof. (Mrs.) Pragya Das
Room no. 220 (E), Physics Department
Phone no. 7566 (Ext.)
E-mail: pragya@phy.iitb.ac.in
Examinations
Mid-semester
30 marks
Quiz
10 marks
End-semester
50 marks
Class performance 1
Beta-Decay
1) -decay
A(Z, N) A(Z+1, N-1) + e- + e
n p + e- e
2) +-decay
A(Z, N) A(Z-1, N+1) + e+ + e
p n + e+ e
3) Electron-Capture
e - + A(Z, N) A(Z-1, N+1) + e
e- + p n e
Orbital electron is captured by the nucleus.
Free neutron decay:
allowed (mn > mp)
Experimental observations and Independent Particle Model
1) All even-even nuclei have ground state spin parity 0+ (without any
exception).
(i) Since each of the orbit can have (2j+1) particles of one kind, above
experimental observation says that when we
Nuclear Decay
Types of Decay
1) Nucleon-emission or a cluster of nucleon emission (-decay, for
example),
2) -decay,
3) -decay.
Decay can occur spontaneously,
Initiated by bombardment with a particle from outside, called nuclear
reactions.
Conservation
In the shell-model, we include the residual interaction as H.
The energy eigenstates will be the solution of complete Schrdinger
V ' H '
equation
(H0+V) = E -(2)
where is the wavefunction, a state which is the superposition of s.
cii -(3)
i
(This is beca
sign up
QUESTIONS
TAGS
log in
USERS
tour
help
BADGES
search
UNANSWERED
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free.
ASK QUESTION
Sign up
Phase space in quantum mechanics an
EP 332(M)
Statistical Physics
Lecture 3: Introduction to
Thermodynamics
Thermodynamics is a funny subject. The
first time you go through it, you don't
understand it at all. The second time you
go through it, you think you understand it,
except for one or
EP 332(M)
Statistical Physics
Lecture 5: The Microcanonical
Ensemble
Microcanonical Ensemble
System
Energy E
Adiabatically isolated
Macrostate M=M(E,x)=M(E,V,N)
The set of corresponding microstates form the
microcanonical ensemble.
Constant Energy Surface
EP 332(M)
Statistical Physics
Lecture 4: Phase Space and
Liouville Theorem
Microstate of a system
Complete specification of system: Positions and
velocities of all particles: 6N coordinates
Quantum mechanical microstate: Wavefunction
Macrostate of a syst
Grand-canonical ensembles
As we know, we are at the point where we can deal with almost any classical problem (see below),
but for quantum systems we still cannot deal with problems where the translational degrees of
freedom are described quantum mechanic
Prof. Dr. Roland Netz
Julius Schulz, Klaus Rinne
Exam Solutions: Advanced Statistical Physics
Part II: Problems (75P)
1 Lenoir Cycle (25P)
Consider 1 mol of an ideal gas, which initially has a volume V1 and temperature T1 at pressure p1 . The gas
undergoe
Create account
Article Talk
Read Edit View history
Not logged in Talk Contributions Log in
Search
Density matrix
From Wikipedia, the free encyclopedia
See also: Quantum statistical mechanics
Main page
Contents
Featured content
Current events
A density mat