GLOBAL VALUE
CHAIN ANALYSIS:
A PRIMER
Gary Gereffi
&
Karina Fernandez-Stark
Center on Globalization, Governance &
Competitiveness (CGGC)
Duke University
Durham, North Carolina, USA
May 31, 2011
Global
economic and social upgrading
in global production networks
Economic and Social Upgrading in
Global Production Networks: Developing
a Framework for Analysis.
1
University of Manchester
Duke University
Pakistan Ranking in Global Competitiveness Index further
goes down
World Economic Forum (WEF) has been releasing Global ranking of individual
countries annually under the Global Competitiveness Index
The Global Challenge
to Industrial Districts
Small and Medium-sized Enterprises in Italy
and Taiwan
Edited by
Paolo Guerrieri
Simona lammarino
Carlo Pietrobelli
Edward Elgar
Cheltenham, UK . Northam
Acas
Future
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Acas
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discussion
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Discussion paper 1
August 2012
This paper is one of a
series commissioned
by Acas
Heat capacities in a magnetic system
The reasoning here parallels the reasoning connecting CV with Cp in uid systems. There are three main
parts:
A: Begin with the known master relation for E(S, H):
d
Stumbling in the thermodynamic dance
a. Attempting to take a step in the thermodynamic dance, we try a Legendre transformation to variables
T , p, and by dening
= G N.
But = G/N , so = 0 and any atte
Heat capacity at constant pressure
The argument for CV was: By denition,
CV (T, V, N ) = T
S
T
.
V,N
But the energy dierential is
dE = T dS p dV + dN.
To reect the constant V and N in the denition of
Fluid work
initial
32 Pa
b.
c.
p
a.
d.
1 Pa
1 m3
0
final
8 m3
V
In general we have
nal
Work =
p(V ) dV,
initial
but along path a
p(V ) =
K
V
K = pi Vi = pf Vf .
where
Thus the work along path a is
Vf
Quantum Mechanics 2011
Model Solutions for Second Exam
1. Commutator
Apply
[A, B] = AB B A = cB A
to the ket |a which has A|a = a|a . We nd
AB|a B A|a = cB A|a
AB|a B(a|a ) = cB(a|a )
A(B|a ) a(B|
Ladder Operators for the Simple Harmonic Oscillator
a. Simple algeba shows that
h
( + a )
a
2m
m
h
( a )
a
p = i
2
x
=
b. Matrix elements.
m|n
a
=
=
m| |n
a
n m,n1
n + 1 m,n+1
h
=
n m,n1 + n + 1 m
Square Well with a Bump
V (x) =
0
2
p
H0 =
+ V ()
x
2M
H = V ()
x
where
0
V (x) =
V
0
where
L < x
0 < x < L
x < 0
(L + a)/2
(L a)/2
< x
< x <
x <
(L + a)/2
(L a)/2
The rst-order energy corrections
Angular Momentum
Angular momentum trivia
a. Assume that A commutes with Lx and Ly :
[A, Lx ] = 0,
[A, Ly ] = 0.
(1)
Then it follows from
[Lx , Ly ] = i Lz ,
h
that
[A, Lz ]
1
[A, [Lx , Ly ]
[
Anharmonic Oscillator
a. Using the results from the problem Ladder Operators for the Simple Harmonic Oscillator,
m|3 |n
x
=
=
m|
x
h
2m
|2 |n
x
3/2
m,
=
h
2m
3/2
+
+ 1 m,
n(n 1)
,n2
+1
+ (2n + 1)
,n
Quantum Mechanics
Model Solutions for Sample Exam for Second Examination
1. The state evolves in time to
h
h
h
|(t) = 2 e(i/ )E2 t |2 + 6 e(i/ )E6 t |6 + 8 e(i/ )E8 t |8 ,
so it remains always a linea
Expressions for SHO Ladder Operators
The lowering operator a acts upon energy eigenstate |n as
a|n =
n |n 1 .
Since we know how a acts upon every element of a basis, we know how it acts upon any state
Two State Systems (Perturbation Theory)
a.
H=
a0
a1
a1
a0
Diagonalization is straightforward giving:
1
Eigenstate |1 =
2
1
1
1
Eigenstate |2 =
2
1
1
(0)
has energy E1
= a0 + a1 .
(0)
has energy E2
=
Quantum Mechanics
Sample Exam for Second Examination
1 A one-dimensional simple harmonic oscillator has initial state
| = 2 |2 + 6 |6 + 8 |8 .
What is the expected momentum p , and how does it change
Oberlin College Physics 411, Electrodynamics, Spring 2014
Assignment 4
Friday, 18 April
Reading: Within Griths chapter 10 on Potentials, read sections 10.1 and 10.2.
Problems: Due Friday, 25 April.
G
Group velocity problems
Griths Electrodynamics, fourth edition, problem 9.23: Water waves and quantal waves
(a) Deep water waves
v
=
v
=
=
vg
2
k
2
=
k
k
2k
d
1
2
1
=
= v
dk
2
k
2
=
=
(b) Quantum
Time averages
Griths, Electrodynamics, fourth edition, problem 9.12
We have
f (r, t) = A cos(k r t + a ) = ecfw_Aei(krt+a ) = ecfw_f ei(krt)
where f = Aeia . And we have
g(r, t) = B cos(k r t + b )
Maxwell stress tensor for light
Griths, Electrodynamics, fourth edition, problem 9.13
The wave in question is (see Griths equation 9.48)
E(z, t)
=
B(z, t)
=
E0 cos(kz t + ) Eg (z, t)
x
x
1
1
E0 cos(kz
Physics 410
file "hw-04"
Assignment #4
Applications of the Canonical Ensemble
Fall 2013
September 29, 2013
Assignment #4
PHYS-410
Fall 2013
Mr. Scofield
Reading
Topics this week (in Ch. 6) include den
Physics 410
file "hw-03.doc"
Assignment #3
The Canonical Ensemble (Boltzmann Factor)
Fall 2013
September 20, 2013
Assignment #3
PHYS-410
Fall 2013
Mr. Scofield
Announcements
1. Your solutions to this
Physics 410
file "hw-02"
Assignment #2
Introduction to Quantum Stat. Mech.
Fall 2013
September 13, 2013
Assignment #2
PHYS-410
Fall 2013
Mr. Scofield
Announcements
1. The solutions to your first homew
Physics 410
file "hw-01"
Assignment #1
Classical Thermodynamics
Fall 2013
September 3, 2013
Assignment #1
PHYS-410
Fall 2013
Mr. Scofield
Announcements
1. Please fill out and return to me the student
Physics 410
file "hw-06"
Assignment #6
Fall 2013
October 21, 2013
Assignment #6
PHYS-410
Fall 2013
Mr. Scofield
Announcements
Reading
this next week you will stay in Chapter 5. Review Sections 1-3. Sk