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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.
Explain the key assumptions and desired properties commonly used economics. Economists generally make all or some of the given key assumptions and a condition while they study
what are the tools for decision making
an introduction to cross elasticity of demand?
Explain about the integrability problem. The Integrability Problem: Provide a system of demand functions x(p, m). Is there essentially a utility function by which such deman
why slopes of is and lm curves affect effectivness of fiscal and mnetary policy?
Reducing Risk Three methods consumers attempt to reduce the risk are: 1) Diversification 2) Insurance 3) Collecting more information
What is buget line how it is calculated?
an emission fee levied against polluting firms will tend to shift the supply/demand curve of the firm/product to the left/right?
The reaction of nitrogen dioxide with fluorine 2 NO2 + F2 2 NO2F is first order in NO2 and first order in F2. Complete the rate law for this reaction in the box below. Use the f
ed=1 means p
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