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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.
give me answer of theory of product prices
Economic Ef ficiency The effort to making products and services in the least costly way without sacrificing excellence.
Economic instruments Financial rewards, incentives and penalties that operate automatically via market forces, to encourage beneficial behavior.
In year one, suppose the federal government has no national debt and spends $100 billion, while raising only $50 billion in taxes. The U.S. Treasury will issue $ billion of governm
1. What is the relationship between a firm's total revenue, profit and total cost? Give an example of hypothetical data and draw the curves. 2. Define economies of scale and e
explain stages and various coordination mechanism involved in policy process
Phillips Curve and Inflation-Unemployment in policy making : In the General Theory (Keynes, 1936) we noted that the state of expectations was taken as given. There was, in ad
Uses of price and income elasticity of demand: The concept of price elasticity of demand has some uses whihc include the following: (i) Pricing of goods and services It is
suppose, as in the federal income tax code for the united states, that the representative consumer faces a wage income tax with a standard deduction. That is the representative con
the basic circular flow model suggests that...
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