Physics 3220 Quantum Mechanics 1 Fall 2008 Problem Set #8 Due Wednesday, Oct 22 at 2pm Problem 8. 1 Review with some realistic numbers [15 pts] A CO (carbon monoxide) molecule can be modeled as a vibrating spring. When you have two objects ("C" and "O" he
PHYS 3220, Fall 09, Homework #1
due Wed, Aug 26, at 2PM (bring in to class) On all homework assignments this term, please show your work and explain your reasoning. We try to grade for clarity of explanation as much as we do for mere "correctness of final
University of Colorado, Department of Physics PHYS3220, Fall 09, HW#4 due Wed, Sep 16, 2PM at start of class 1. (Griffiths, problem 1.7, 15 pts) Prove the Ehrenfest theorem d < px > V = - dt x (1)
where the potential V is a real quantity. (This theorem te
University of Colorado, Department of Physics PHYS3220, Fall 09, HW#5 due Wed, Sep 23, 2PM at start of class 1. A few more properties of Hermitian operators (total: 10pts) a) Show that the sum of two Hermitian operators is a Hermitian operator. ^ b) Suppo
Physics 3220 Quantum Mechanics 1 Fall 2008 Problem Set #4
Due Wednesday, September 17 at 2pm Problem 4.1: Stationary state in the infinite square well. (20 points) The infinite square well has the potential V (x) = 0 , = 0 x a, otherwise , (1) (2)
and the
Physics 3220 Quantum Mechanics 1 Fall 2008 Problem Set #4
Due Wednesday, September 17 at 2pm Problem 4.1: Stationary state in the infinite square well. (20 points) The infinite square well has the potential V (x) = 0 , = 0 x a, otherwise , (1) (2)
and the
FREE PARTICLES I: One-dimensional wave functions A. Free particle with momentum p:
1
1. Write down the de Broglie relations relating momentum (p) to wavelength () and energy to frequency. Momentum is a vector but wavelength is not. How do you reconcile th
1 of 5
Formula Sheet for Final Exam (These formulas will be given.)
2 f (x, t) 1 2 f (x, t) The classical wave equation: = 2 x2 v t2 The time-dependent Schrdinger Equation:
2 2 i = - t 2 m x2
+ V(x)
The standard deviation =
^ Momentum operator: p x =
(
1 of 6
Formula Sheet for Final Exam (These formulas will be given.)
2
The classical wave equation:
f (x, t) 1 = 2 2 x v
2
f (x, t) t2
The time-dependent Schrdinger Equation:
ih h2 = - t 2m
2
x2
+ V(x)
The standard deviation = ^ Momentum operator: p x =
Formula Sheet for Exam 2 (These formulas will be given.)
2 f (x, t) 1 2 f (x, t) = 2 The classical wave equation: x2 v t2
The time-dependent Schrdinger Equation:
i
2 2 = - t 2 m x2
+ V(x)
The standard deviation =
^ Momentum operator: p x =
( x )
i x
2
Formula Sheet for Exam 2 (These formulas will be given.)
2
The classical wave equation:
f (x, t) 1 = 2 2 x v
2
f (x, t) t2
The time-dependent Schrdinger Equation:
ih h2 = - t 2m
2
x2
+ V(x)
The standard deviation = ^ Momentum operator: p x =
( x )
2
=
(
Formula Sheet for Exam 1 (These formulas will be given.)
(I will not give the de Broglie relations, or the definitions of the wave number k and the angular frequency . I expect you to memorize those.)
2
The classical wave equation:
f (x, t) 1 = 2 2 x v
2
Formula Sheet for Exam 1 (These formulas will be given.)
(I will not give the de Broglie relations, or the definitions of the wave number k and the angular frequency . I expect you to memorize those.) The classical wave equation: 2 f (x, t ) 1 2 f ( x, t
Free Particle Pretest
Name: _ CU ID: _ For each of the questions below, you are given a plot of a wave function and are asked if this is a physically possible wave function for a particle confined to a one-dimensional infinite square as well as shown at r
Outline
Ack
QM Issues
Trans
LG
Fac
QMAT
Dev
Results
SP1
Signup
SP2
References
What are they learning in quantum mechanics? A conceptual post test for Quantum I
Steve Goldhaber , Steven Pollock , Mike Dubson , Paul Beale and Katherine Perkins
Physics Scie
Transforming Upper-Division Quantum Mechanics Learning Goals and Assessment
Steve
, Goldhaber
Steven
, Pollock
Mike
, Dubson
Paul
and Beale
Katherine
Perkins
Physics Dept., University of Colorado, Boulder, CO (per.colorado.edu),
The Science Education Ini
Transforming Upper-Division Quantum Mechanics: Learning Goals and Assessment
Steve Goldhaber, Steven Pollock, Mike Dubson, Paul Beale and Katherine Perkins
Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
Abstract. In order to h
Quantum I (PHYS 3220)
concept questions
Schrdinger Equation
Consider the eigenvalue equation
d [ f ( x)] = C f ( x) 2 dx
How many of the following give an eigenfunction and corresponding eigenvalue? I. f(x) = sin(kx), C = +k2 II. f(x) = exp(-x), C = +1 II
University of Colorado, Department of Physics PHYS3220, Fall 09, Some final review problems 1. At time t=0, a particle is represented by the wave function: A x , if 0 x a a b-x (x, t = 0) = A b-a , if a x b 0, else where a and b are constants. At which x
Wave Functions and Probability Pretest
Name: _ CU ID: _ For questions 1 and 2 below, you are given a particular (physically reasonable) quantum ( ) x (, ) f x c x e mechanical wave function, ,t of the very specific form t = ( )it where f(x is a real funct
Quantum I (PHYS 3220)
concept questions
Phys3220, U.Colorado at
3-D
Consider a particle in 3D. Is there a state where the result of position in the y-direction and momentum in the z-direction can both be predicted with 100% accuracy?
A) Yes, every state B
PHYS 3320
Week 2
Tutorial Wave functions and probability
Goals this week: 1. Developing intuition about the time dependence, and complex nature of, the spatial wave function, including stationary states and superposition states (LG: Math/phys connection,
Quantum I (PHYS 3220)
concept questions
Phys3220, Michael Dubson U.Colorado at Boulder
Operators,
A wavefunction (x) has been expressed as a sum of energy eigenfunctions (un(x)'s):
)= c u(x (x n ) n
n
Compared to the original (x), the set of numbers cfw_
WAVE FUNCTIONS AND PROBABILITY I: Thinking about the wave function
1
In quantum mechanics, the term wave function usually refers to a solution to the Schrdinger o equation, 2 2 (x, t) (x, t) =- i + V (x)(x, t), t 2m x2 where V (x) is the potential energy
Vector Spaces and Hilbert Spaces ( Mainly, Griffiths A.1, A.2) A vector space is a set of objects called vectors ( |A , |B , |C ,.) and a set of numbers called scalars (a, b, c,.) along with a rule for vector addition and a rule for scalar multiplication.
SPEECH MAP
Name_ Type of Speech_
Topic_
Thesis Statement:
Attention Getter:
Ethos Statement:
Relevance Statement:
Preview:
List of 3 Main Points: (main points onlyadd detail later after researching)
I.
II.
III.
Review:
Tie to Attention Getter/Concluding S
Gradisar 1
Luc Gradisar
Dr. James Gamble
UA WLIT 1113, 022
April 30, 2017
Summary Critique of Cupid and Venus in Ovids Metamorphoses
Cupid and Venus in Ovids Metamorphosesby Wade C. Stephens is an article compiled
with information in regard to Ovids favor
COMM 1313 / Public Speaking / Problem Awareness Informative Speech Grading Criteria
(GC)
NAME:
DATE:
TIME:
(5-7 minutes)
GRADE:
/150 points
*NOTE: If you go over/under by 30 seconds or more, your speech grade will be reduced by
10%*
CATEGORY
ORGANIZATION
Finding Sources for
Human Physiology
Scientific Literature
What is scientific literature?
Presents original research
Peer reviewed
In science, found in scholarly
journals
e.g. Nature, Science, Journal
of Physiology, American
Journal of Physiology, Journal
Name _
Dr. Gamble
WLIT 1113 0012, 021, 022
March 14, 2017
Class 3-14 and assignment 3-16
1. Review, Review, Review.
2. 1,001 Nights (552-572); 5ws and h, images, key words, connections, wv, Jung stuff. Keep track of NAMES
and who is telling the story and