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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 convergent and divergent system
Q. Asymmetric Information - Insurance Markets? In the United States, health insurance is usually provided for employees through contracts between the insurance company and thei
write about the origin of sylos labini''s limit pricing model
What is Nancy’s lifetime income as a function of her level of schooling, S? 2. What is Nancy’s lifetime income if she gets no schooling? What is it if she goes to school for all 60
equilibrium of production
What is the difference between economics and business? Economics is the study of how we, the people, engage ourselves in production, distribution and consumption of goods and
"A firm in monopolistic competition maximizes its profit by producing where its price is equal to its marginal cost." Is this statement correct or incorrect? Explain.
What is the optimal consumption bundle and marginal utility per dollar? The optimal consumption bundle is the consumption bundle which maximizes a consumer's total utility sp
1. Consider an individual facing a wage rate w . There's a total of 100 hours available for work or leisure in a week. (a) Represent his budget constraint graphically (b)
1. Econ 415 Project Select one time series of real data. The series can be selected from the published data ( http://research.stlouisfed.org/fred2/). The data series must co
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