Derive an equation for the probability that a particle characterized by the quantum number n is in

Question:

Derive an equation for the probability that a particle characterized by the quantum number n is in the first 25% (0 ≤ x ≤ a/4) of an infinite depth box. Show that this probability approaches the classical limit as n → ∞.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

See More Books

Question Posted: May 17, 2018 01:16 AM

See More Questions

Calculate the probability that a particle will be found between 0.65L and 0.6lL in a box of length L when it has (a) 11= 1, (b) 11= 2. Take the wave function to be a constant in this range.
Calculate the probability that a particle in a one-dimensional box of length a is found between 0.32a and 0.35a when it is described by the following wave functions: a. 2/a sin(x/a) b. 2/a sin(3 x/a)...
The probability that a particle will have a velocity in the x direction in the range of v x0 and v x0 is given by m? /2kT dv% 1/2 f(-v, s V, s V, ) = 2rkT 1/2 v mv /2kT dv x rkT
The FBI Standard Survey of Crimes shows that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case is never solved (Source: True Odds,...
Given two complex numbers z1 = r1 (cos 1 + i sin 1) and z2 = r2 (cos 2 + i sin 2), z2 0, show that z1 / z2 = r1 / r2 [cos (1 2) + i sin (1 2)].
An almost-conical toy top (Figure P12.71) that has radius $R=20 \mathrm{~mm}$ and inertia $0.125 \mathrm{~kg}$ is spun up using a force of $5.0 \mathrm{~N}$ and a string that is \(1.0...
How can you ensure that a pattern provides the correct solution for your problem?
On January 2, 20X8, Primary Corporation acquired 100 percent of Street Companys outstanding common stock. In exchange for Streets stock, Primary issued bonds payable with a par and fair value of...
The Americans are anxious. Six months after an initial meeting, Osatech, the renowed Japanese video software company, has finally agreed to meet with an American negotiating team in its headquarters...
Rauch AG leases a piece of equipment to Donahue SA on January 1, 2019. The lease agreement called for annual rental payments of 4,892 at the beginning of each year of the 4-year lease. The equipment...
What is the solution of the time-dependent Schrdinger equation (x,t) for the total energy eigenfunction (x) = 2/a sin (3x/a) for an electron in a one-dimensional box of length 1.00 10 10 m? Write...
It is useful to consider the result for the energy eigenvalues for the one-dimensional box E n = h 2 n 2 /8ma 2 n = 1, 2, 3 , . . . as a function of n, m, and a. a. By what factor do you need to...
Louisville Sports manufactures baseball bats for use by players in the major leagues. A critical requirement for elite players is that each bat they use have an identical look and feel. As a result,...
Which of the growth strategies discussed in the chapter are the most risky? Which are the least risky? What role should risk play in a companys decision to pursue a particular growth strategy?
Procter & Gamble (P&G) is the worlds leading manufacturer of consumer products. P&G, founded in 1837 by British American William Procter and Irish American James Gamble, is headquartered in...
The World Investment Report published annually by UNCTAD provides a summary of recent trends in FDI, as well as quick access to comprehensive investment statistics. Identify the table of largest...
Numerous online music platforms exist today, with Apple Music, Google Play Music, Pandora, Spotify, SoundCloud, and YouTube as perhaps the most common ways people listen to music online around the...
Where was Red Bull founded? Many people in the United States and other countries think Red Bull is a product to their own country because the company does such a fantastic job of marketing the brand....
If rice costs $1.60 per kilogram, determine the cost of 1 pound of rice. When necessary round your answers to the nearest hundredth.
Draw a Feynman diagram for the reaction n + v p + .
Describe the bonding in 1,3-butadiene using hybrid orbitals.
Why is spin-pairing so common a features of bond formation (in the context of valence-bond theory)?
What is the justification for treating s and p atomic orbital contributions to molecular orbitals separately?
Some users on your network use Acme Bank for their personal banking. Those users have all recently been the victim of an attack, in which they visited a fake Acme Bank website and their logins were...
Solve ADEF. Round to the nearest whole number when necessary. Give angle measures in degrees. 4 E |DE= 4 mZDz DF mZE= 90 EF= 6 m/F 9 LL F
Find the total energy available from a rechargeable 1.25-V flashlight battery with a 1.2-Ah rating. If all the energy in a 9-V transistor radio battery rated at 0.392 Ah is used to lift a 150-lb man,...

Derive an equation for the probability that a particle characterized by the quantum number n is in

Question:

Step by Step Answer:

Using the standard integral As n the second term goes to zero ...View the full answer

Physical Chemistry

Students also viewed these Sciences questions