A particle is trapped in a one-dimensional potential energy well given by: x < 0 0...

 

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A particle is trapped in a one-dimensional potential energy well given by: x < 0 0 <x<L L<x< 2L x > 2L U. U(x) = (2U0 Consider the case when U, < E < 2Uo, where E is the particle energy. a. Write down the solutions to the time-independent Schrödinger equation for the wavefunction in the four regions using appropriate coefficients. Define any parameters used in terms of the particles mass m, E, Uo, and ħ. Do not solve for the coefficients or normalize your wavefunctions, simply write the form of the solutions. [2] A particle is trapped in a one-dimensional potential energy well given by: x < 0 0 <x<L L<x< 2L x > 2L U. U(x) = (2U0 Consider the case when U, < E < 2Uo, where E is the particle energy. a. Write down the solutions to the time-independent Schrödinger equation for the wavefunction in the four regions using appropriate coefficients. Define any parameters used in terms of the particles mass m, E, Uo, and ħ. Do not solve for the coefficients or normalize your wavefunctions, simply write the form of the solutions. [2]

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