Question

1. Before reaching the double slit, the electron is described by the time-dependent Schrödinger equation (TDSE) for a freely moving particle. Starting with the time- independent Schrödinger equation (TISE), use separation of variables of the wave- function and the quantum energy relation to get the TDSE for a free particle.

Answer #1

(a) Prove that the first term in the Schrödinger equation, -(
ℏ2 / 2m )( d2ψ /
dx2 ), reduces to the kinetic energy of the
particle multiplied by the wave function for a freely moving
particle, with the wave function given by
Accomplish this by calculating the following quantities. (Use
the following as necessary: A, i, k,
x, ℏ, and m.)
dψ/dx =
d2ψ/dx2 =
[(-ℏ2/2m)d2ψ/dx2]/ψ
=
momentum p =
K = p2/(2m) =
(b) Repeat the previous part,...

Consider a Li++ ion as described by the Bohr model.
(a) At some other time, the electron in n=4 state. What possible
wavelength of radiation emitted by this atom? Write the algebraic
expression(s) and draw the diagram to illustrate the
transitions.
(b) What is the ground state energy of this system in eV? Write the
expression and evaluate it. What value of the quantum number n does
this correspond to?
(c) Now assume the electron is in the n=1 state....

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...

1. Suppose that the time it takes you to drive to work is a
normally distributed random variable with a mean of 20 minutes and
a standard deviation of 4 minutes.
a. the probability that a randomly selected trip to work will
take more than 30 minutes equals: (5 pts)
b. the expected value of the time it takes you to get to work
is: (4 pts)
c. If you start work at 8am, what time should you leave your...

T F 1. A p-value of .008 in hypothesis testing means there is
only a .8% chance we could get such sample statistics from the
population if the null hypothesis is as stated. Such an event is
considered unlikely and we would reject the null hypothesis.
T F 2. As a general rule in hypothesis testing, it is always
safer to set up your alternate hypothesis with a greater-than or
less-than orientation.
_____3. If the level of significance is .02...

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
??...

In February 2012, the Pepsi Next product was launched into
the US market. This case study provides students with an
interesting insight into PepsiCo’s new product process and some of
the challenging decisions that they faced along the way.
Pepsi Next Case Study
Introduction
Pepsi Next was launched by PepsiCo into the US market in
February 2012, and has since been rolled out to various
international markets (for instance, it was launched in Australia
in September 2012).
The new product...

What tools could AA leaders have used to increase their
awareness of internal and external issues?
???ALASKA AIRLINES: NAVIGATING CHANGE
In the autumn of 2007, Alaska Airlines executives adjourned at
the end of a long and stressful day in the
midst of a multi-day strategic planning session. Most headed
outside to relax, unwind and enjoy a bonfire
on the shore of Semiahmoo Spit, outside the meeting venue in
Blaine, a seaport town in northwest
Washington state.
Meanwhile, several members of...

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