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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.
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How might you determine whether flute-playing ability is a highly heritable trait? If you want to improve your flute playing and someone tells you that musical ability is heritable
(ii) Find a real-world example of second-degree price discrimination. Describe the important aspects of your example in detail and analyze it using economic theory. In particular,
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Consider an economy with high innovative potential, but where saving is insufficient to fund innovative investments. Use Garrison's capital-based macroeconomics to explain how more
Problem 1 : (a) What are the main assumptions behind the macroeconomic theory of New Classical Economists? (b) Describe the Lucas Supply function and explain its policy imp
Indifference curve definition
Production Function for Wheat * Farmers should choose between a capital intensive or labor intensive technique of production. Isoquant Describing Production of Wheat
The Schrodinger wave equation generalizes the fitting-in-of-waves procedure. The waves that "fit" into the region to which the particle is contained can be recognized "by inspect
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