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# Solid State Physics PHYS 353

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This 1 page Class Notes was uploaded by Madyson Sporer on Monday October 5, 2015. The Class Notes belongs to PHYS 353 at Christian Brothers University taught by John Varriano in Fall. Since its upload, it has received 15 views. For similar materials see /class/219455/phys-353-christian-brothers-university in Physics 2 at Christian Brothers University.

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Date Created: 10/05/15

PHYS 353 Solid State Physics Supplemental Problems Part 0 Review 01 A wave is described the function yxt 5sin6 rrx 120011t n 6 where y is in millimeters ifx is in meters and tis in seconds a Find the following quantities that characterize the wave amplitude wave number angular frequency wavelength frequency and speed b Along what axis is the wave traveling and in which direction 02 Use Euler s Theorem to write the following expressions using exponential notation a cosG 1sin9 b cosG 1 sine c cosG d sine e sine 1cos9 03 Show that the function wxt AeiU x OJHqD is a solution to the onedimensional wave equation 04 Find the wavelength and momentum of a 142 eV photon 05 Find the wavelength wave number and momentum of an electron after it has been accelerated from rest across 500 V of potential difference 06 An atom of rest mass M is in an initial state with energy 8i and is essentially at rest with respect to you It makes a transition to a final state of energy Sf by emitting a photon of frequency f Find an expression for the recoil speed of the atom by using the laws of conservation of energy and momentum You don t have to treat the problem relativistically 07 An atom of rest mass M in an initial state with energy Si is traveling at speed v away from you It makes a transition to a final state of energy Sf by emitting a photon towards you If the atom had been at rest initially the frequency of the photon would be f Find the Doppler shifted frequency f of the photon Use the laws of conservation of energy and momentum and the results of the previous problem 08 We know that an object connected to a spring and allowed to oscillate in one dimension feels a restoring force of F C lxl where x0 is the equilibrium position of the object If we treat the object as a quantum object ie treat it as a matter wave then Schrodinger s Equation gives 1 2 wx A0e7 cm max as its ground state wave function where m is the object s mass a Find the amplitude A0 by normalizing the wavefunction b Sketch the probability of finding the object versus its position Where are you most likey to find the object

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