Kyle Taitt
CSU Webwork
MATH 160
1.
WeBWorK assignment M160-801-FA-2.4 due 10/04/2016 at 11:59pm MDT
(1 point) If
f (y) = tan(5y),
then
5. (1 point) Find the 75th derivative of sin(x) by finding the
fi
Certain question on General Studies
1. Bear lake-canada
2. river cutting tropic of capricorn-limpopo
3. Author of NEEL DARPAN-Desh Bandhu Mitra
4. Chairman of congress during split of INC into extremi
MIDTERM TEST PREPARATION ASSIGNMENT
Instructions
Answer all questions Due: 01/10/2016 4:00 pm
1.
Let
2.
Show that every ideal of the ring
3.
integer
Show that
R
be a ring. Show that
( x) y xy and x y
Announcements
Quiz 1 available at 4pm (until Mon, Jan 14 at 3pm). If you do
not receive an email later today telling you it is available, you
need to contact me so I can add you to the list.
Yan Hes
AP STaTisTics Name Keg
Normal ApplicaTions using The calculaTor
:1. The SpeedmasTer IV auTomobile geTs an average of 22 miles per gallon in The ciTy. The sTandard deviaTion is
3 miles per gallon. Assu
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
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
ex
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 ma
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 )
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 Scatt
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
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
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
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 hinder
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
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 in
PH 505 Introduction to Nuclear and Particle Physics
Prof. (Mrs.) Pragya Das
Room no. 220 (E), Physics Department
Phone no. 7566 (Ext.)
E-mail: [email protected]
Examinations
Mid-semester
30 marks
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 capture
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
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
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 whi
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A
ME346A Introduction to Statistical Mechanics Wei Cai Stanford University Win 2011
Handout 5. Microcanonical Ensemble
January 19, 2011
Contents
1 Properties of ow in phase space
1.1 Trajectories in pha
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 thro
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 fo