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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.
ROLE OF INFRASTRUCTURE IN THE ECONOMY: Economic Infrastructure produces services that directly facilitate and are basic to the carrying out of a wide variety of economic activ
Elasticity- a) The price of good X goes up by 2.75%, the quantity demanded of good Y goes from 10,500 units to 25,000. What is the Exy? What does that number mean? What is th
difference between the cardinal analysis theory and ordinal theory
Wage Differentials: Market structure alone does not account for all of the differences in wages and employment. Market wage differentials arise from various other sources, includin
using the aggregate demand and supply model (x axis is national output and y axis is price level) if an economy is in a state of disequilibrium where supply is excess of demand u
GDP Price Level At the equilibrium level of income aggregate spending in the economy equals aggregate output. All along, we have assumed that the general price level remains un
What is Economics Trade Analysis?
The Hypothesis of Rational Expectations : In the General Theory (Keynes, 1936) we noted that the state of expectations was taken as given. There was, in addition, explici
diagrammatically condition of consumer equilibirium
They take deposits which mean borrow money and make loans which means lend money. The interest rate they pay on the deposits is less than the interest rate they charge on their loa
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