Name: \<E V Group #2
Quiz 3
February 3, 2017
1. A given particle has the following expectation values: (x) = O,(x2) = b2,(p) = 0. What
is the smallest possible momentum squared expectation value that this particle could
have? (5 points) . .J
Snge Ox O/Px
Exam I
CHEM 374
Prof. Ben-Amotz
February 17, 2015
Name:
CRIB
Your exam should contain 4 numbered pages (including this page)
plus additional pages containing supplementary information.
FOR FULL CREDIT YOU MUST SHOW YOUR WORK
1
1. (20 points) Consider the
Exam I
CHEM 374
Prof. Ben-Amotz
February 17, 2015
Name:
Your exam should contain 4 numbered pages (including this page)
plus additional pages containing supplementary information.
FOR FULL CREDIT YOU MUST SHOW YOUR WORK
1
1. (20 points) Consider the groun
Homework 1 Solutions
January 21, 2016
1a) To calculate the force constant we employ Eq. 6.5
1
= =
c
2c
r
f
m
therefore
f = 4 2 mc2 2
= 4(3.142)2 (1.7 1027 kg)(3 1010 cm/s)2 (3000cm1 )2
N
kg
= 5.4 102 2 = 5.4 102
s
m
b) We can note that
h =
hc
thus, = c/
In-Class Assignment 1
January 20, 2017
1. A particle is in a one-dimensional box of length L (i.e., the box spans from x =
0 to x = L). The wavefunction for this particle can be described as:
! = sin (
!"
)
!
Note that the probability of finding this par
In-Class Assignment 3 Answer Key
February 5, 2016
a) First, solve for L. Given the information in the problem, L = (8-1) * 0.16 = 1.12 nm =
1.12 * 109 m
Then, solve for the energy of an excited electron trapped in a box of length L (i.e., use the
particle
Solutions to Homework Problems in UPC Chapter 7
February 16, 2015
3a) From the Eulers formula we have
eikx + eikx
2
If we define k = /a, 1 (x) from problem 2 can be written
r
r
x 1 r 2
2
1 ikx
ikx
ikx
cos
=
e +e
=
e + eikx
1 (x) =
a
a
2 a
2a
r
1
so B =
2
K Quiz #1
Name: Q
1) Which of the following is an eigenfunction for the momentum operator, 13?
, _ h d
p '" ta;
a) sin(kx) A t (K) x 0\OSn4;l<
b)cos(kx) M( )i(>) 1 (05
dx .,
0 (0500) , 5MCX\ K 106?:HK
d)A11 of the above T
c K 229 (6") 0X \/ A
2) What IS t
In-Class Assignment
January2,201
1.)Theground-stateofaparticleconfinedt oaboxt hatextendsovert her ange-<x<
-hasanormalizedwavefunctionof:
r
2
x
DPT(
(x) =
)
L
L
(a)What istheVODFSUBJOUZofthemomentum ofthe particle?
(b)WhatistheVODFSUBJOUZoftheposition of
Quiz 2
January 27, 2017
Consider an operator of the form A = a 3 + 2 and a function of the form
(ix x
1,100 = xecx. a, b, and c are constants.
a) Determine the conditions under which $06) will be an
eigenfunction of A. (10 pts)
_. CX
7 9 .
Amm:(o~a;~L%V\4
Exam II
CHEM 374
Prof. Ben-Amotz
April 7, 2015
Name:
CRIB
Your exam should contain 5 numbered pages (including this page)
plus additional pages containing supplementary information.
FOR FULL CREDIT YOU MUST SHOW YOUR WORK
1
1. (15 points) Consider a quant