Show that the time evolution of a wave packet (r, t) can be expressed in terms of
Question:
Show that the time evolution of a wave packet ψ(r, t) can be expressed in terms of the initial form of the wave packet ψ(r, t0) as
where G(r, t; r′, t0) denotes the Green function or kernel of the integral and which depends on the dispersion relation ω(k),
Transcribed Image Text:
(r, t) = +∞ -∞ G(r, t; r', to) (r', to) d³r' y
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
Answered By
Akshay Singla
as a qualified engineering expert i am able to offer you my extensive knowledge with real solutions in regards to planning and practices in this field. i am able to assist you from the beginning of your projects, quizzes, exams, reports, etc. i provide detailed and accurate solutions.
i have solved many difficult problems and their results are extremely good and satisfactory.
i am an expert who can provide assistance in task of all topics from basic level to advance research level. i am working as a part time lecturer at university level in renowned institute. i usually design the coursework in my specified topics. i have an experience of more than 5 years in research.
i have been awarded with the state awards in doing research in the fields of science and technology.
recently i have built the prototype of a plane which is carefully made after analyzing all the laws and principles involved in flying and its function.
1. bachelor of technology in mechanical engineering from indian institute of technology (iit)
2. award of excellence in completing course in autocad, engineering drawing, report writing, etc
4.70+
48+ Reviews
56+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
Analyze the meaning of the Green function of problem 14.8 for the case when (r, t 0 ) is given by the Dirac delta function Data from Problem 14.8. Show that the time evolution of a wave packet (r, t)...
-
Calculate the Green function of problem 14.8 for the case of free space, for which = ck, where cis the speed of light in free space. Show that, in this case, the initial wave packet (r, t 0 )...
-
One of the eigenvalues of the matrix v=t V1 V2 V3 + s W W2 W3 ,V3 = 2 2 1 1 3 1 is = 1 and the corresponding eigenvector is 2 2 1 t, se (-0, +o). Enter all integer values for V = 5 W1 = W2 = so that...
-
To be more engaged in your community, think of any issues that the youth today are facing, then find books, or studies that will help you in supporting your topic. Write your own observation/s on the...
-
CellU, the company CompU is looking at purchasing, has a target capital structure of 80% debt, 5% preferred stock, and 15% equity. CellU can raise $1.5 million in debt by issuing 12% mortgage bonds...
-
A skydiver is falling straight down, along the negative y direction. (a) During the initial part of the fall, her speed increases from 16 to 28 m/s in 1.5 s, as in part a of the figure. (b) Later,...
-
A low-friction track is set up with a spring on the right end. In the middle of the track, a \(2.0-\mathrm{kg}\) cart moving to the right at \(5.0 \mathrm{~m} / \mathrm{s}\) overtakes a...
-
An investor buys shares in a mutual fund for $20 per share. At the end of the year the fund distributes a dividend of $0.58, and after the distribution the net asset value of a share is $23.41. What...
-
The figure below shows a manometer system composed of air (grey), water (blue), and mercury (red). The system is open to air with an inclined pipe on its right side. The density of water is p = 1000...
-
Generalize equations (6.1) through (6.5) for the three-dimensional case in Cartesian coordinates. r+ 4 (5 t) = 1500 A(k) exp [i(kCwt)] dk (6.1)
-
Consider a one-dimensional wave packet at the instant t = 0, whose amplitude function A(k) is given by Show that Make a plot of both A(k) and (x, 0) and verify that the uncertainties in x and k...
-
For the reaction (a) Will K p increase, decrease, or remain constant with temperature? Explain. (b) If a constant-volume mixture at equilibrium at 298 K is heated to 400 K and equilibrium...
-
Jersey Medical earns $9.50 a share, sells for $90, and pays a $6 per share dividend. The stock is split two for one and a $3 per share cash dividend is declared. a. What will be the new price of the...
-
Find an example of a team-building exercise from your previous school or work experience. Did you find the exercise beneficial or effective? Write a brief response weighing positive and negative...
-
Ames Company reported 2015 net income of HK$151,000. During 2015, accounts receivable increased by HK$13,000 and accounts payable increased by HK$9,500. Depreciation expense was HK$44,000. Prepare...
-
Consider a free market with demand equal to Q = 900 10P and supply equal to Q = 20P. a. What is the value of consumer surplus? What is the value of producer surplus? b. Now the government imposes a...
-
Assume that the price of a bus trip is $2.00, and the price of a ride share (e.g., using a company like Uber or Lyft) is $5.50. What is the relative price of a trip using a ride-share company, in...
-
Currently, there are 4227 Wal-Mart stores in the United States and another 3210 stores outside of the United States. a. Are the numbers of Wal-Mart stores discrete or continuous? b. What is the level...
-
The following processes constitute the air-standard Diesel cycle: 12: isentropic compression,23: constant-volume energy addition (T and P increase),34: constant-pressure energy addition (v...
-
Assuming a 300 MHz instrument is used, calculate the difference between the frequency of absorption (in hertz) of TMS and the frequency of absorption of a proton with a value of 1.2 ppm.
-
A compound with molecular formula C 13 H 28 exhibits a 1 H NMR spectrum with two signals: a septet with an integration of 1 and a doublet with an integration of 6. Deduce the structure of this...
-
A compound with molecular formula C 8 H 10 produces three signals in its 13 C NMR spectrum and only two signals in its 1 H NMR spectrum. Deduce the structure of the compound.
-
You invested in 800 shares of stock for $49.20 a share. The initial margin requirement is 65 percent and the maintenance margin is 35 percent. What is the lowest the stock price can go before you...
-
Alanzo submits an application for a $300,000 whole life insurance policy with the help of his agent and also applies for coverage under a temporary insurance agreement (TIA). His health status is...
-
An employee who uses their own vehicle for employment purposes cannot deduct any financing costs related to the purchase of the car An employee who is provided with a vehicle owned by the employer...
Study smarter with the SolutionInn App