Question: The probability density for a particle in a box is an oscillatory function even for very large energies. Explain how the classical limit of a

The probability density for a particle in a box is an oscillatory function even for very large energies. Explain how the classical limit of a constant probability density that is independent of position is achieved for large quantum numbers.

Step by Step Solution

★★★★★

3.47 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

A measured probability distribution is limited by the accura... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physical Chemistry Questions!

As figure suggests, the probability density for an electron in the region 0 2(x) = B sin 2 kx, rn which B is a constant.? (a) Show that the wave function ? 2 (x) that may be found from this equation...

FIGURE EX40.5 is the probability density for an electron in a rigid box. What is the electron??s energy, in eV? O nm 0.45 nm FIGURE EX40.5

FIGURE P39.33 shows the probability density for finding a particle at position x. a. Determine the value of the constant a, as defined in the figure.b. At what value of x are you most likely to find...

Hi, math experts. I am recently learning from Pattern Recognition and Machine Learning, Chris Bishop. Please provide a detailed explainations briefly for the following sections. 1. Section 1.2.2...

At this time launch the QM1D Javascript Applet (below, or here: http://www.falstad.com/qm1d-phys214/qm1d/). Java is required Infinite Well Open the program, which will by default give you the...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

At this time launch the QM1D Javascript Applet (below, or here: http://www.falstad.com/qm1d-phys214/qm1d/). If you have trouble running this on your computer, try changing browsers, or using any of...

ee Dimensions and its probability de probability density? y to the n = 0 (c) This state is often referred to as the 2p. Why? post dipole radiation. (d) How might we produce a 2p, state? energy and...

a. State the general normalization condition. Customize the general normalization condition specifcally for the infnite square well, paying particular attention to the limits of integration. b....

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

Bryce, a bank official, is married and files a joint return. During 2007 he engages in the following activities and transactions: a. Being an avid fisherman, Bryce develops an expertise in tying...

14. We have EFe+/Fe= -0.440 V and Eag/Ag=0.800 V. a. Calculate the standard cell emf (Excell) of a Galvanic cell that has been constructed from these species. (Show works!). b. Can you use an iron...

A partner's tax capital account balance and book capital account balance may be different because: Accounts Book capital accounts usually include the adjusted basis of a contributed asset, whereas...

7-4 Find the 95% confidence intervals for the mean difference in the six minute walk distances for the two test groups in Problem 4-3. Compare this result with the hypothesis test in Problem 4-3.

Establish the relation between K and K c for the reaction H 2 CO(g)CO(g)+H 2 (g).

From information in the Resource section, calculate the standard Gibbs energy and the equilibrium constant at (i) 298K and (ii) 400K for the reaction PbO(s)+CO(g)Pb(s)+CO 2 (g). Assume that the...

Estimate the temperature at which CaCO 3 (calcite) decomposes.

import java.util.*; import java.awt.*; import java.awt.event.*; import java.awt.image.*; import java.awt.geom.*; import java.io.*; import javax.imageio.*; // Main class public class ImageHistogram...

Assume that it is now January 1, 2015. Wayne-Martin Electric Inc. (WME) has developed a solar panel capable of generating 200% more electricity than any other solar panel currently on themarket. As a...

Smalley, Inc., has preferred and common stock outstanding as follows: $5 preferred stock, 40,000 shares @ $100 par value $ 4,000,000 Common stock, 500,000 shares at $10 par value 5,000,000 Additional...