# UF PHY 3101 - Quiz #4 (2 pages)

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## Quiz #4

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## Quiz #4

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Pages:
2
School:
University of Florida-Gainesville
Course:
Phy 3101 - Modern Physics
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PHY3101 3 16 01 Name Quiz 4 h V x t i h 2 2m x t 2 2 h2 d 2 V x E 2 m dx 2 Consider a potential well consisting of an infinite barrier at x 0 and a finite barrier of height V0 for x L The energy E is less than V0 af V x E 0 L R V x S0 TV 0 x 0 0 x L x L x 1 2 points What is the general wavefunction solution to the time independent Schrodinger Equation for the region 0 x L i e before application of boundary conditions You should combine several constants into a wavenumber k 2 2 points What is the general wavefunction solution to the time independent Schrodinger Equation for the region x L i e before application of boundary conditions You should combine several constants into a wavenumber Page 1 of 2 3 2 points Apply boundary conditions at x 0 and x to simplify your answers to problems 1 and 2 i e eliminate as many unknown constants as possible 4 2 points Apply boundary conditions at x L to further simplify the wavefunction solution eliminate one more constant and also obtain an equation don t solve it to relate the constants k and 5 2 points Sketch the ground state wavefunction solution for this potential Page 2 of 2

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