HydroElectric
Ener
Brief description of Hydroelectric Energy
Hydroelectric energy is created by the movement of water
The water flows downward due to the gravity or streams around the area,
where it
Problem 10.18
_ (I L 2_ 2 _
E 41r60(a.-u)3[(c v)u+ax(uxa)]. Herev I (4 1
vi, a = ai, and, for points to the right)? = 5:. So u = LLLFJ
(cv)i, uxa=0,and4-u=a(cv). J:
_ q a 2_ 2 _ ,_ q i(c+v)(cv
0 4% fw'IJGCL W WM Wt M75 w K
M._ M-
P0 fj
I
cfw_MoQfvcfw_) - KIM-f0 CD
11 _
is * WW: (9
Q :1 v9 ,_ WW _ oz (xii/13;
@ 7 a mookuro )AOL / MOC
jet 4 W ; zm
W ~f." > 1*
H 67, we 1+0 (7353; We mo
71
Problem 12.6
light signal leaves a at time 11; arrives at earth at time ta = t; + da/c,
light signal leaves b at time t; arrives at earth at time t1, = t, + db/c.
_ _ I
+ (db da) = At' + ( vAt c080)
,
DIFFERENTIAL OPERATORS IN
CURVILINEAR COORDINATES5
Cylindrical Coordinates
Divergence
A=
1
1 A
Az
(rAr ) +
+
r r
r
z
Gradient
(f )r =
f
;
r
(f ) =
1 f
;
r
(f )z =
Curl
( A)r =
A
1 Az
r
z
( A) =
Ar
QUANTUM MECHANICS LECTURE 39
1. Scattering Review
IN SERT GRAP HIC1
Examining the angle at which a particle scatters naturally leads to an experiment where we measure the
number of particles which pas
Introduction to Quantum Mechanics II
Time-Dependent Perturbation Theory I
Brian Greene
May 3, 2012
1
Introduction
So far we have been able, through various tricks, solve the Schrodinger equation exact
Introduction to Quantum Mechanics II
Lecture 1
Brian Greene
January 17, 2012
At the end of last semester, we began analyzing our results from the Schrodinger equation of an electron
within a hydrogen
SCATTERING THEORY
ELIZABETH CRITES
APPLIED PHYSICS & APPLIED MATHEMATICS
COLUMBIA UNIVERSITY
[email protected]
1. Introduction:
Much of what we know about nuclear, atomic, and particle physics has
Introduction to Quantum Mechanics
Lecture 27
Brian Greene
January 31, 2012
1
Rotating Spin States
Suppose you aim a bunch of spin
1
2
particles with random spin orientations at a device which measures
QUANTUM MECHANICS LECTURE 47
1. Measurement Problem
We have already spoken about three possible ways to solve the Measurement problem: MWA, Bohm, and
GRW. MWA and Bohm changes an interpretation, and G
QUANTUM MECHANICS III LECTURE 3
1. Analyzing Entanglement
We will be analyzing features of entangled states and analyzing Bohms approach to the entangled states
described in the EPR paper. We describe
Introduction to Quantum Mechanics Lecture
37
Brian Greene
March 20, 2012
1
Scattering Theory Set-Up
We have the following set-up: a source of particles is sent out in a columnated beam in the z-direct
QUANTUM MECHANICS II LECTURE 48: THE LAST LECTURE
1. Feynman Sum Over Histories
CM: Newtons Laws S =
xtR,tf
L(x, x)
dt
xt ,to
where
1 2
mx V (x) = (P E KE)
2
S
= 0, then you have Newtons laws.
If
Lecture 41: Measurement Problem
Brian Greene
May 1, 2012
All that weve done so far comes from the linearity of the Schrodinger
Equation. That linearity has allowed us to use Fourier transforms and ser
Quantum Mechanics II - Lecture 2
Brian Greene
January 22, 2012
1
Einstein, Podolsky, Rosen
In 1935, Albert Einstein, Boris Podolsky, and Nathan Rosen (EPR) published an interesting and influential
cri
QUANTUM MECHANICS III LECTURE 35
1. Selection Rules
Recall from HW 6 and the chapter on Time Dependent Perturbation Theory how we found the matrix
b i. We used Selection Rules to identify which eleme
QUANTUM MECHANICS II - LECTURE 42
KATHLEEN TATEM
1. Summary from last time:
Measurement Problem:
Linearity of SE = no such thing as wavefunction collapse
[yet this is the heart of making QM prediction
QUANTUM MECHANICS II LECTURE 38
In order to compensate for Griffiths treatment of Scattering Theory, we will perform analysis more in
line with Quantum Mechanics this go around. We begin by looking at
QUANTUM MECHANICS III LECTURE 36
1. Scattering Theory
The last chapter of the book. However, what Griffiths does is a bit of a cheat. He gets to the right answer,
but between what he does and we do in
Careers, related to use of the technology
The scientist-geneticist
The results obtained after electrophoresis can tell you everything about the person. You
can trace his ancestry, see some of the mut