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...
-
Familiarize yourself with the California Code of Civil Procedure and the California Rules of Court at www.courts.ca.gov/.
-
Which would not be a preventive control? a. Guards b. Swipe cards c. Fences d. Data mining software e. Background checks
-
Operating data for Jacobs Corporation are presented below. Instructions Prepare a schedule showing a vertical analysis for 2014 and 2013. 2014 2013 Sales revenue Cost of goods sold Selling expenses...
-
Identify the four primary financial statements and the type of information each statement presents. Give examples of how a potential creditor, like a bank, might use each individual financial...
-
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...
-
Discuss the reasons why the Section 179 election is more valuable to small firms than to large firms.
-
2. (a) Write down a structure capable of storing the following information about a student registered in CSE 103 course: (5) ID Gender Class test score Mid-term score Final Exam score Total score (b)...
-
In its first year, Camco, Incorporated generated a $ 1 0 1 , 0 0 0 net operating loss, and it made a $ 5 , 9 0 0 cash donation to a local charity. In its second year, Camco generated a $ 2 2 4 , 1 0...
-
Air (an ideal gas) enters a compressor with a pressure of 14.4 psia, a temperature of 70F, and a volumetric flow rate of 50 ft/s. The air exits to 70 psia, 190F. If the measured power required by the...
-
The goal here is to see if you can develop the intuition for market trends and see how it could impact your business. Please answer each question in paragraph of 6 to 8 lines. Given the disruption to...
-
What is the net payroll tax expenses the company will record in September for the wages of employee Y ? (rounded to nearest dollar) Gross pay through Gross pay for Employee August 31 September X...
-
How have the product lines of property-casualty insurance companies changed over time?
-
Differentiate. y = ln(3x + 1) ln(5x + 1)
-
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.
-
hich of the following BEST describes refundable Part IV tax? Question content area bottom Part 1 A. Refundable Part IV tax is calculated as 38 1/3% of portfolio dividends received in the current...
-
Fault or Functional Hazard Analysis (FHA) takes Failure Mode and Effects Analysis (FMEA) by determining the effect of a component failure on a system, subsystem, or personnel. This week's discussion...
-
You have been asked to recommend a type of wiring for a manufacturing building. The size of the building is 200 meters by 600 meters (corresponding to about 650 feet by 2000 feet), and it houses...
Study smarter with the SolutionInn App