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Show that a pulsed spherical wave has a complex wavefunction of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function. An ultrashort optical pulse has a complex wavefunction with a central frequency corresponding to a wavelength λ0 = 585nm and a Gaussian envelope of rms width σ1 = 6fs. How many cycles are contained within the pulse width? If the pulse propagates in free space as a spherical wave initiated at the origin at t = 0, describe the spatial distribution of the intensity as a function of the radial distance at time t = 1ps.
negative slope on ppf represents what?
Private and Social Benefits Private benefits are those which accrue to an individual. They may be both monetary and non monetary, direct and indirect. Earnings of an individua
EDPE 4056: Applied Microeconomics Program in Economics and Education Teachers College, Columbia University Prof. Francisco Rivera-Batiz Problem Set 1 Please answer all of the fol
What two developments are demanding new ways of looking at the economic world in the 21st century? What kinds of sustainability questions do they raise? Two developments that
The "Battle of Sexes" is a famous game. The story is that a couple tries to decide what to do on a Friday evening. The girl prefers to go to an Opera and the guy prefers to go to t
Illustrate and explain the changing demand for big mac using the indifference curve and budget line.
meaning of economics laws
Q. What is Cost effectiveness analysis? Cost effectiveness analysis A method which seeks to identify the least cost option for meeting a particular objective. It actives prior
Meaning of absolute cost difference and comparative cost difference.
Problem 1: i) How might unemployment arise? ii) Critically explain how fiscal policy can be used to reduce the unemployment rate in an economy. iii) ‘'Inflation always
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