Question

The purpose of this problem is to compare the time dependencies
for systems in a superposition of two energy eigenstates in an
infinite square well to those in a simple harmonic
oscillator.

Consider two systems (an infinite square well and a simple harmonic
oscillator) that have the same value for their ground state energy
*E _{ground}*.

1) What is *E _{3}*, the energy of the 2nd excited
state (the third lowest energy) of the infinite square well system
in terms of

2) What is *E _{3}*, the energy of the 2nd excited
state (the third lowest energy) of the simple harmonic oscillator
system in terms of

3) **Now suppose the wave function for the infinite square
well system is a superposition of two energy eigenstates, namely
its ground state and its second excited state.** Assuming
*E _{ground}* = 20 eV, what is

*t _{1}* =

4) **Now suppose the wave function for the simple harmonic
oscillator system is a superposition of two energy eigenstates,
namely its ground state and its second excited
state.**

Assuming *E _{ground}* = 20 eV, what is

5) **Now, both the infinite square well system and the
simple harmonic oscillator system still have the same value for
their ground state energies, E_{ground}, but the
wavefunctions for both systems are described as a superposition of
two energy eigenstates, namely their ground state and their third
excited state.**

What is

*R(SHO/Square)* =

Answer #1

Given three non-interacting distinguishable in an infinite 1-D
square well potential of width a.
(a) Determine the ground wave function for the system of
distinguishing and the energy of this state.
(b) Determine the wave function of the first excited state and
its energy.

4. Write down the time-independent Schrӧdinger Equation for two
non-interacting identical particles in the infinite square well.
Assuming the spins of the two particles are parallel to each other,
i.e., all spin-up, find the normalized wave function representing
the ground state of the two-particle system and the energies for
the two cases:
(a) Two particles are identical bosons.
(b) Two particles are identical fermions.
and
(c) Find the wave functions and energies for the first and
second excited states for...

1 - Write the one dimensional, time-independent Schrödinger
Wave Equation (SWE). Using the appropriate potential energy
functions for the following systems, write the complete time
independent SWE for:
(a) a particle confined to a one-dimensional infinite square
well,
(b) a one-dimensional harmonic oscillator,
(c) a particle incident on a step potential, and
(d) a particle incident on a barrier potential of finite width.
2 - Find the normalized wavefunctions and energies for the
systems in 1(a). Use these wavefunctions to...

II(20pts). Short Problems
a) The lowest energy of a particle in an infinite one-dimensional
potential well is 4.0 eV. If the width of the well is doubled, what
is its lowest energy?
b) Find the distance of closest approach of a 16.0-Mev alpha
particle incident on a gold foil.
c) The transition from the first excited state to the ground
state in potassium results in the emission of a photon with = 310
nm. If the potassium vapor is...

You hang a 300 g mass on a spring.
a. If the spring initially stretches 6.20 cm when you hang the mass
on it, what is the spring constant?
b. How long will one oscillation take?
The spring is now oriented horizontally and attached to a glider on
a frictionless air track. The glider also has a mass of 300g. You
want to observe the oscillations of this spring-mass system in the
lab with a motion detector. You stretch the...

Review the Robatelli's Pizzeria Case Study. Develop another
internal controls system, but this time, in the purchases and fixed
assets business areas. Prepare a 12- to 16-slide presentation
describing the purchases and fixed assets business areas. Be sure
to incorporate speaker notes as well as appropriate visuals,
graphics, fonts, etc. Include any associated risk in these areas.
Describe specific internal controls that include authorization of
transactions, segregation of duties, adequate records and
documentation, security of assets, and independent checks and...

ch 6
1:
It is generally a good idea to gain an understanding of the
"size" of units. Consider the objects and calculate the kinetic
energy of each one.
A ladybug weighing 37.3 mg
flies by your head at 3.83 km/h
.
×10
J
A 7.15 kg
bowling ball slides (not rolls) down an alley at 17.5 km/h
.
J
A car weighing 1260 kg
moves at a speed of 49.5 km/h.
5:
The graph shows the ?-directed force
??...

1) Describe an example of each of the following that may be
found of your kitchen: Explain how your choice falls into this
category, and if there is a chemical name or symbol for it, provide
that as well. Provide a photo of your example with your ID card in
it. a) a compound b) a heterogeneous mixture c) an element (symbol)
Moving to the Caves… Lechuguilla Caves specifically. Check out this
picture of crystals of gypsum left behind in...

Sign In
INNOVATION
Deep Change: How Operational Innovation Can Transform Your
Company
by
Michael Hammer
From the April 2004 Issue
Save
Share
8.95
In 1991, Progressive Insurance, an automobile insurer based in
Mayfield Village, Ohio, had approximately $1.3 billion in sales. By
2002, that figure had grown to $9.5 billion. What fashionable
strategies did Progressive employ to achieve sevenfold growth in
just over a decade? Was it positioned in a high-growth industry?
Hardly. Auto insurance is a mature, 100-year-old industry...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 8 minutes ago

asked 14 minutes ago

asked 15 minutes ago

asked 21 minutes ago

asked 27 minutes ago

asked 36 minutes ago

asked 38 minutes ago

asked 51 minutes ago

asked 52 minutes ago

asked 57 minutes ago

asked 57 minutes ago