A quantum harmonic oscillator of mass m is in the ground state with classical turning points at A (a) With the mass confined to the region x 2A, compute p for this state (b) Compare the kinetic energy implied by p with (1) The ground state total energy and (2) The expectation value of the kinetic e...

A quantum harmonic oscillator of mass m is in the ground state with classical turning points at

Question:

A quantum harmonic oscillator of mass m is in the ground state with classical turning points at ± A.

(a) With the mass confined to the region Δx ≈ 2A, compute Δp for this state.

(b) Compare the kinetic energy implied by Δp with

(1) The ground-state total energy and

(2) The expectation value of the kinetic energy.

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

Step by Step Answer:

Related Book For book-img-for-question

Modern Physics

ISBN: 9781429250788

6th Edition

Authors: Paul A. Tipler, Ralph Llewellyn

See More Books

Question Posted: Feb 14, 2023 08:14 AM

See More Questions

A particle of mass m is in the ground state of the infinite square well (Equation 2.22). Suddenly the well expands to twice its original sizethe right wall moving from a to 2aleaving the wave...
The kinetic energy of an object of mass m is equal to its rest energy. What is the magnitude p of the object's momentum? (a) p = 13 mc (b) p = 2mc (c) p = 4mc (d) p = 2mc (e) p = 3mc
The binding energy of an electron in the ground state of He atom is equal to E o - 24.6 eV. Find the energy required to remove both electrons from the atom.
According to Hostels.com. The average room rate for a New York City hotel was $204 in 2011. Suppose the Chamber of Commerce of New York City would like to test if this rate has changed recently by...
Katayama Company produces a variety of products. One division makes neoprene wetsuits. The divisions projected income statement for the coming year is as follows: Sales (65,000 units) .......
What is meant by the term securities? AppendixLO1
Assume S is a geometric Brownian motion: dS S = dt + dB for constants and and a Brownian motion B. (a) Show that vart St+1 St = e 2 * e 2 1 + . Hint: Compare Exercise 1.7. (b) Use the result of...
Solexx Corporation distributes its service department overhead costs to product departments. This information is for the month of June: Required Use 4 or more decimal places (e.g., 33.3333%) in your...
In hypothesis testing the null hypothesis is given as which of the following? Ho: A=0. Ha: A=0. Ha:B=0. Ho: B=0
Glenn Bartlett is general manager of City Apartments. During 2025, Bartlett worked for the company all year at a $12,200 monthly salary. He also earned a year-end bonus equal to 10% of his annual...
For particles incident on a step potential with E < V 0 , show that T = 0 using Equation 6-70. T + R = 1 6-70
Show directly from the time-independent Schrdinger equation that (p 2 ) = (2m[E - V(x)]) in general and that (p 2 ) = (2mE) for the infinite square well. Use this result to compute (p 2 ) for the...
Why is the establishment of a credit shelter trust fund considered a good estate planning technique?
Below are incomplete financial statements for Hurricane, Incorporated Required: Calculate the missing amounts. Complete this question by entering your answers in the tabs below. Income Statement Stmt...
TBTF Incorporated purchased equipment on May 1, 2021. The company depreciates its equipment using the double-declining balance method. Other information pertaining to the equipment purchased by TBTF...
Coco Ltd. manufactures milk and dark chocolate blocks. Below is the information relating to each type of chocolate. Milk Chocolate Selling price per unit $6 Variable cost per unit $3 Sales mix 4 Dark...
Data related to 2018 operations for Constaga Products, a manufacturer of sewing machines: Sales volume 5,000 units Sales price $300.00 per unit Variable production costs Direct materials 75.00 per...
6. (20 points) Sections 3.1-3.5, 3.7 Differentiate the following functions, state the regions where the functions are analytic. a. cos(e*) b. 1 ez +1 c. Log (z+1) (Hint: To find where it is analytic,...
Benzene at 60C is flowing in a DN 25 Schedule 80 steel pipe at the rate of 20 L/min. The specific weight of the benzene is 8.62 kN/m 3 . Calculate the pressure difference between two points 100 m...
Evaluate the line integral, where C is the given curve. C x 2 dx + y 2 dy, C consists of the arc of the circle x 2 + y 2 = 4 from (2, 0) to (0, 2) followed by the line segment from (0, 2) to (4, 3)
A 3000-m-high mountain is located on the equator. How much faster does a climber on top of the mountain move than a surfer at a nearby beach? The earths radius is 6400 km.
A 3000-m-high mountain is located on the equator. How much faster does a climber on top of the mountain move than a surfer at a nearby beach? The earths radius is 6400 km.
Peregrine falcons are known for their maneuvering ability. In a tight circular turn, a falcon can attain a centripetal acceleration 1.5 times the free-fall acceleration. What is the radius of the...
1,600 Balance Sheet The following is a list (in random order) of KIP International Products Company's December 31, 2019, balance sheet accounts: Additional Paid-In Capital on Preferred Stock $2,000...
Question 3 4 pts 9 x + 3 x 9 if x 0 Find a) lim f(x), b) lim, f(x), C), lim , f(x) if they exist. 3 Edit View Insert Format Tools Table : 12pt M Paragraph B IV A2 Tv
Mr. Geoffrey Guo had a variety of transactions during the 2019 year. Determine the total taxable capital gains included in Mr. Guo's division B income. The transactions included: 1. On January 1,...

A quantum harmonic oscillator of mass m is in the ground state with classical turning points at

Question:

Step by Step Answer:

a b 1 Because E 0 h2 a...View the full answer

Modern Physics

Students also viewed these Physics questions