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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.
Monopoly: Monopoly is a market structure in which there is a single firm producing a commodity or providing a service that has no close substitutes. As the sole supplier to it
Identify the four essential economic activities. The four main economic activities are: a) resource maintenance, b) production, c) distribution, and d) consumpti
Time is a significant determinant of price elasticity. If a price changes, it might take consumers a certain amount of time to discover alternative lifestyles or commodities to ac
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Determine the oldest ideas in economics One of the oldest ideas in economics is that increases in technology certainly run into natural resource scarcity and so lead to increas
Consider the model of corruption explored by Shleifer and Vishni's where there is one government-produced good X. There is a demand for that good described by the inverse demand eq
what is the use of models in economics?
unemployment is voluntary, discuss in view of the classical economists and the keynesian
Why is the concept of scarcity relevant to both LDC s and MDC s? All societies throughout time have wrestled with the basic economic conundrum of having needs that cannot be me
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