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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.
Aska) Summarize the basic tenets of the arguments in thiscase b) Do you agree with main tenets of the arguments in the case? Why? Justify your answer with detailed explanations.
explaination of quasi rent theory
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Q. What do you meant by Real GDP? Real GDP:Value of total gross domestic product (which is, all the services and goods produced for money in the economy) adjusted for effects o
In this part, use the results for market demand for short-run and long run market supply of good x1 obtained in parts one and two. When a change (e.g. income or taxes) is introduce
Interest rate sensitivity can also be understood from another perspective. The total cost of a commodity is not just its price, but also what must be paid to borrow money to purch
Partial Input Elasticity of Output: This is a short-run concept which deals with the variability of only one factor keeping the others constant. There are three kinds of retu
Why is it true that shortages usually occur mainly when price controls are in effect? In the nonexistence of price controls the shortage generally goes away quickly because price
derive demand equation
Non-existence of Objective Probability Distributions : Let us see why expectations are volatile in nature? According to Keynes (1936, pp. 149): "Our knowledge of the fact
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