Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 2 Notes: Elasticity Theory
How can we connect the atomistic view of oscillating bonds between atoms with elastic
response of a material as a whole? What is the relationship between the Youngs
modulus and the bond strength?
The harmonic analysis de
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 5 Notes: Harmonic Oscillator
Recall our first lecture when we analyzed lattice vibrations in a framework of masses connected by
springs. In that system the classical Hamiltonian for the particle connected by a spring to
p2 1
another particle or a
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 3 Notes: Photoelectric Effect
th
th
In the end of 19 century and beginning of the 20 century, scientists were convinced they
understood physics. Only a handful of experiments remained unexplained. These experiments
became a foundation for the new
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 6 Notes: Vector Analysis
Consider a system whose state is characterized at a given time by the wavefunction r,t . We
want to predict the result of a measurement at this time of a physical quantity a associated with
the observable . The predictio
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 1 Notes: Diatomic Models
Here we will consider a simple diatomic molecule lets say H2, where two hydrogen atoms
are bound to each other with a single sigma bond. Since the bond is stretchable and
compressible to a certain extent we can approximate
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 4 Notes: Quantum Mechanics
First Postulate of Quantum Mechanics:
Any quantum mechanical particle or a system in general can be described by a wavefunction
r,t . (Depending on a systemmay be in a vector form).In general we will represent
wavefunct
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 7 Notes: Ehrenfests Theory
In the previous section we showed that the Hamiltonian function plays a major role in
our understanding of quantum mechanics using it we could find both the eigenfunctions
of the Hamiltonian and the time evolution of the
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 8 Notes:
Hydrogen Atom
27
Hydrogen atom consists of a proton of mass mp1.710
kg and charge
31
19
q 1.610 Coulomb and an electron of mass me9.110
Consequentlythey are bound by a Coulombic potential:
V r
2
q1
e
40r
kg and chargeq.
2
r
12
Where: 08.8
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 9 Notes: Blochs Theoren
Many materials have crystalline structure and ions are arranged in a periodic lattice. As
all the ions in the lattice exert Coulombic potentials on an electron, the overall potential
experienced by the electron appears peri
Introduction to Electronic, Magnetic and Optical Machines
SCI 105

Spring 2009
Lecture 10 Notes: Cosine Potential
k CkVGCkG ECk
2mG
2
2
This equation relates all the coefficients Ck that are separated by an inverse lattice vector to each
other forming a set of coupled algebraic equations (which in essence is a recursion formula).
Le