An electron in an infinite square well with L = 10 -12 m is moving at relativistic

Question:

An electron in an infinite square well with L = 10^-12 m is moving at relativistic speed; hence, the momentum is not given by p = (2mE)^1/2.

(a) Use the uncertainty principle to verify that the speed is relativistic.

(b) Derive an expression for the electron’s allowed energy levels and

(d) By what fraction does E₁ computed in (c) differ from the nonrelativistic E₁?

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

Two neutrons are in an infinite square well with L = 2.0 fm. What is the minimum total energy that the system can have? (Neutrons, like electrons, have antisymmetric wave functions. Ignore spin.)
Five identical noninteracting particles are place in an infinite square well with L = 1.0 nm. Compare the lowest total energy for the system if the particles are (a) Electrons and (b) Pions. Pions...
An electron is trapped in an infinite square well 25 nm wide. Find the wavelengths of the photons emitted in these transitions: (a) n = 2 to n = 1; (b) n = 20 to n = 19; (c) n = 100 to n = 1.
Tory Company sells a single product. Troy estimates demand and costs at various activity levels as follows: How much profit will Troy have if a price of $45 is charged? Units Sold Price Total...
Jason Rogers works full-time for UPS and runs a lawn-mowing service part-time after work during the warm months of April through October. Jason has three men working with him, each of whom is paid $6...
What are the three elements of a bailment? AppendixLO1
Consider the finite-horizon model with consumption at each date, state variables Xt, log utility, and no labor income. Assume max Et [log( Rt+1)] is finite for each t with probability 1. The value...
Winter Companys balance sheet at December 31, 2014, is presented below. During January 2015, the following transactions occurred. Winter uses the perpetual inventory method. Jan. 1 Winter accepted a...
A company that usually sells satellite TV equipment for $750 and two years of satellite TV service for $500 has a special, time-limited offer in which it sells the equipment and two years of...
Using Tables 6-4, 6-5, and 6-6, determine the freight charges for the following shipments: a. A 2,500-lb shipment of paper place mats with printed advertising moving from New York to Los Angeles. b....
A beam of protons, each with energy E = 20 MeV, is incident on a potential step 40 MeV high. Graph the relative probability of finding protons at values of x > 0 from x = 0 to x = 5 fm.
The wave function 0 (x) = Ae -x2/2L 2 represents the ground-state energy of a harmonic oscillator. (a) Show that 1 (x) = Ld 0 (x)/dx is also a solution of Schrdingers equation. (b) What is the...
Present two situations in which it would be advisable for a retailer to take a markdown instead of carry over merchandise from one budget period to another.
What are factors which hamper the promotion of an entrepreneurial culture in South Africa?
Please Help P/R End Date 2/8/2019 Company Name: Prevosti Farms and Sugarhouse Check Date 2/13/2019 Tax Name M/S # of W/H Hourly Rate or Period # of Regular # of Overtime # of Holiday Wage Hours Hours...
Read the description of following adjustments that are required at the end of the accounting period for Hubbard Repair Services, a new firm. Determine the account and amount to be debited and the...
Jamie Lee and Ross, now 57 and still very active, have plenty of time on their hands now that the triplets are away at college. They both realized that time has just flown by; over twenty-four years...
Here are summary statistics for randomly selected weights of newborn girls: n = 36, x = 3180.6 g, s = 700.5 g. Use a confidence level of 99% to complete parts (a) through (d) below. a. Identify the...
The Davidson Corporations balance sheet and income statement are provided here. a. Construct the statement of stockholders equity for December 31, 2018. No common stock was issued during 2018. b. How...
A company produces earbuds. The revenue from the sale of x units of these earbuds is R = 8x. The cost to produce x units of earbuds is C = 3x + 1500. In what interval will the company at least break...
In FIGURE Q4.11, Yvette and Zack are driving down the freeway side by side with their windows down. Zack wants to toss his physics book out the window and have it land in Yvettes front seat. Ignoring...
In FIGURE Q4.11, Yvette and Zack are driving down the freeway side by side with their windows down. Zack wants to toss his physics book out the window and have it land in Yvettes front seat. Ignoring...
In uniform circular motion, which of the following quantities are constant: speed, instantaneous velocity, the tangential component of velocity, the radial component of acceleration, the tangential...
ABC Corporation has an activity - based costing system with three activity cost pools - Machining, Setting Up , and Other. The company's overhead costs, which consist of equipment depreciation and...
Consolidated Balance Sheets - USD ( $ ) $ in Thousands Dec. 3 1 , 2 0 2 3 Dec. 3 1 , 2 0 2 2 Current assets: Cash and cash equivalents $ 9 8 , 5 0 0 $ 6 3 , 7 6 9 Restricted cash 2 , 5 3 2 Short -...
How does corporate governance contribute to investor confidence and stakeholder trust? Accounting

An electron in an infinite square well with L = 10 -12 m is moving at relativistic

Question:

Step by Step Answer:

a b The width of the well L is still an integer number of ...View the full answer

Modern Physics

Students also viewed these Physics questions