Are the total energy eigenfunctions for the free particle in one dimension, (x) A e i(2mE h2)x and (x) A e i(2mE h2)x eigenfunctions of the one dimensional linear momentum operator If so, what are the eigenvalues ...

Are the total energy eigenfunctions for the free particle in one dimension, + (x) A +

Question:

Are the total energy eigenfunctions for the free particle in one dimension, ψ⁺ (x) A₊ e ^{+i√(2mE/h2)x} and ψ⁻(x) A_–e ^{–i√(2mE/h2)x}eigenfunctions of the one-dimensional linear momentum operator? If so, what are the eigenvalues?

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 02:14 AM

See More Questions

Why are the total energy eigenfunctions for the H atom not eigenfunctions of the kinetic energy?
Normalize the total energy eigenfunctions for the three-dimensional box in the interval 0 x a, 0 y b, 0 z c.
Explain why the amplitude of the total energy eigenfunctions for the quantum mechanical harmonic oscillator increase with £x£ as shown in Figure 18.10. Figure 18.10
Laverty Clinic plans to purchase a new centrifuge machine for its New York facility. The machine costs $94,000 and is expected to have a useful life of 6 years, with a terminal disposal value of...
Determine whether the statement is true or false. Justify your answer. 1. The modulus of a complex number can be real or imaginary. 2. The distance between two points in the complex plane is always...
Sierra has hired a front office manager, Todd. What suggestions should Sierra follow to make the implementation of training more effective for Todd?
What major design alternatives were proposed by Galbraith? LO.1
IHOP Corporation franchises breakfast-oriented restaurants throughout North America. The average development costs for a new restaurant were reported by IHOP as follows: Land ............. $ 667,000...
QUESTION 2 Green House Bhd runs a rubber tree plantation at Bukit Kayu Hitam, Kedah since year 2013. The rubber trees are grown on a 10-hectare land acquired in year 2013. The plantation process...
A plate 100 mm wide and 10 mm thick is to be welded with another plate by means of transverse welds at the ends. If the plates are subjected to a load of 70 kN, find the size of weld for static as...
The smallest observed frequency for a transition between states of an electron in a one-dimensional box is 3.0 10 13 s 1 . What is the length of the box?
Use the eigenfunction (x) = Ae +ikx + Be ikx rather than (x) = A sin kx + B cos kx to apply the boundary conditions for the particle in the box. a. How do the boundary conditions restrict the...
a. "Our use of currency futures has completely changed our risk-return profile." b. "Our use of currency options resulted in an upgrade in our credit rating." c. "Our strategy to use forward...
What are knowledge or innovation workers? What are the key elements of professional practice, work environment and work design needed to support the productivity and creativity of knowledge or...
What problem does this concept solve or what pain does it alleviate and how compelling is the problem? 2. Who is your specific target customer? 3. How do they currently meet this need for themselves...
Consider a person standing in a room where the average wall temperature is 20 C. This person is trying to reach the "thermal comfort" by adjusting the A/C air temperature. Find out the appropriate...
If WHO, the World Health Organization,defines health as a state of completephysical, mental and social well-being and not merely the absenceof disease and infirmity (WHO, 2011)and wellness is...
As a manager, you want to find a way to motivate Nate and increase his engagement and job satisfaction in the workplace. Drawing upon a behavioral theory of motivation, discuss how you, as a manager,...
Solve the linear equation. Graph the solution set on a number line. 5(x + 3)2(x-4)= 2(x + 7)
Burberrys competitive advantage is through its differentiation strategy. What risk should Burberry remain aware of?
Estimate the lifetime of a state that gives rise to a line of width (i) 0.20 cm 1 , (ii) 2.0 cm 1 .
What is the Doppler-shifted wavelength of a red (680nm) traffic light approached at 60 km h 1 ?
Absorptions in the v=10 vibrationrotation spectrum of 1 H 35 Cl were observed at the following wavenumbers (in cm 1 ): Assign the rotational quantum numbers and use the method of combination...
please help Problem 13-7 (Algo) Prepare a Statement of Cash Flows [LO13-1, LO13-2] [The following information applies to the questions displayed below.] Comparative financial statements for Weaver...
A firm has 1000 shareholders, each of whom own $59 in shares. The firm uses $28000 to repurchase shares. What percentage of the firm did each of the remaining shareholders own before the repurchase,...
Vancouver Bank agrees to lend $ 180,000 to Surrey Corp. on November 1, 2020 and the company signs a six-month, 6% note maturing on May 1, 2021. Surrey Corp. follows IFRS and has a December 31 fiscal...

Are the total energy eigenfunctions for the free particle in one dimension, + (x) A +

Question:

Step by Step Answer:

Eigenfunction with ei...View the full answer

Physical Chemistry

Students also viewed these Sciences questions