ECE/MAT 211A Winter 11: Homework 1 Solutions
Problem 1: Compton Scattering Kroemer # 1.1-2 (p. 10).
Problem 2: Bragg scattering for electrons and photons
1
2
Problem 3: Connection rules for a delta-function potential Kroemer # 1.4-1 (p. 39).
Problem 4: De
ECE/MAT 211A: Homework 1. Due January 12, 2011, at noon.
Problem 1: Compton Scattering Kroemer # 1.1-2 (p. 10).
Problem 2: Bragg scattering for electrons and photons
Problem 3: Connection rules for a delta-function potential Kroemer # 1.4-1 (p. 39).
Probl
ECE/MAT 211A: Homework 2. Due January 19, 2011, at noon.
Problem 1: Resonant Transmission across a Potential Well Kroemer # 1.4-3 (p. 39).
Problem 2: Reflections at Semiconductor Hetero-Interfaces Kroemer # 1.5-2 (p. 44).
Problem 3: Energy Eigenvalues in
ECE/MAT 211A, W11: Homework 2 Solutions
Problem 1: Resonant transmission across a potential well Kroemer # 1.4-3 (p. 39).
1
Problem 2: Reflections at semiconductor hetero-interfaces Kroemer # 1.5-2 (p. 44).
Problem 3: Energy Eigenvalues in a Symmetric Wel
HW #4
Due 02/13 by 4pm
1. Kroemer # 4.3-2
2. Kroemer # 9.3-1
3. Energy-time Uncertainty: Excited State Lifetimes and Energy Spectra
The more common manifestation of energy-time uncertainty is the relationship
Errata to Quantum Mechanics
Errata to
Quantum Mechanics
by
Herbert Kroemer
The following is a list of known errors, as of May 2, 2001, omitting certain kinds of inconse-quential
errors (like incorrect or missing italization, etc.).
This list may be freely
1 2 3
N
A current source on average emits electrons per interval of time . We want to
know how those quanta are distributed, assuming they are statistically independent.
We divide the interval i
HW #1 Solutions
1. Kroemer # 1.1-3
The key to this problem is realizing that the minimum in excess energy corresponds to
the two fragments having equal velocities. From there, the excess energy is easily
calculate
ECE/MAT 211A: Homework 3. Due January 26, 2011, at noon.
Problem 1: Vibrational frequencies of silicon-hydrogen bonds All CMOS transistors contain an interface between silicon and SiO2. Because of the difference in crystal structure between Si and SiO2, a
HW 3 Solutions
1. Write out all steps of the Coherent State Worksheet (posted on GauchoSpace). (Note,
there is an error in part a of the solution)
2. Read section 7.4 of Kroemer and d
HW #6
Due Friday 03/06 by 4pm
1. Kroemer # 12.2-1
2. Kroemer # 12.2-2
3. Raising Operator Matrix
Consider the matrix representation of the S.H.O raising operator in the basis of the
S.H.O eigenstates. Writ
Properties of the Coherent State:
Use the following definitions/properties of the raising ( ! ) and lowering operators ( ! )
=
!
!"
! ! =
+ 1!
! ! =
!
In general, we want to describe states which undergo ana
HW #5
Due Friday 02/27 by 4pm
1. Work through and write down the steps to derive equation 6.1-6 in Kroemer
2. A particle is in the nth energy level (n>1) of a potential well defined by an infinite
0
barrie
HW #2 Solutions
3. For the following problem use the following definitions/properties of the raising ( ! )
and lowering operators ( ! )
!
= !"
! ! = + 1!
! ! = !
a) Using the recursion relation
HW #3
1. Write out all steps of the Coherent State Worksheet (posted on GauchoSpace)
2. Read section 7.4 of Kroemer and do problem 7.4-1
3. All parts of the following problem are designed to be solvable w
HW #2
1. Kroemer # 2.2-1
2. Kroemer # 2.2-6
3. For the following problem use the following definitions/properties of the raising ( ! )
and lowering operators ( ! )
!
= !"
! ! = + 1!
! ! = !
a) Us
ECE/MAT 211A: Homework 4. Due February 2, 2011, at noon.
Problem 1: Particle in a Spherical Shell A particle of mass m is constrained to move between two concentric impermeable spheres of radii r = a and r = b. There is no other potential. Find the ground
Midterm Solutions
1. Infinite Square Well with Central Barrier
a) (5 pts) Draw the wavefunction for the ground state of an electron, assuming
< ! .
b) (5 pts) Draw the wavefunction for the ground state,