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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.
The Short Run versus long Run - Short-run: Period of time in which the quantities of one or more production factors cannot be changed. These inputs are called as fi
Market failures (even when they do not have international external effects) i) Self-fulfilling bank runs, government debt runs, currency crises. ii) Liquidation costs of li
Explain what the natural rate of unemployment is. It is necessary here to include a solid explanation based on economic concepts. The natural rate of unemployment is the rate o
Sources of Divergence The principal cause of extraordinary variation in output per worker between countries today are differences in their corresponding steady-state capital-ou
1. Consider a world with two assets: a riskless asset paying a zero interest rate, and a risky asset whose return r can take values +10% or –8% with equal probability. An individua
Sources of Economic growth: Human resources: Investment in human capital is considered as an important factor for economic growth. This is done by increasing the quality of
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Uses and Habit Forming Commodity -price elasticity of demand: The number of possible uses : A commodity has high price elasticity of demand (or elastic demand) if it can be p
Explain how unemployment could be voluntary or involuntary . Start off with a definition of the labour force and then outline the proportion of the labour force which would be
Much of the supply-side, fiscally conservative economic policies of Margaret Thatcher, Ronald Reagan, and even Mike Harris in Ontario were predicated on the belief that high income
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