When faced with a new situation for which you want to figure out the probability

Question

When faced with a new situation for which you want to figure out the probability of an electron found at different locations in space, in what order would you apply the following steps to solve the Schrodinger equation? Number the steps from 1 (first) to 5 (last). _______ Apply boundary conditions ___________ Determine the probability density ___________ Normalize the wave function _____________ Determine the potential energy function ___________ Determine the functional form of the wave function that satisfies the Schrodinger's equation In which the steps outlined above would the quantization of wavelengths and energy levels for the electrons appear in the solution (if there was quantization)?

Explanation / Answer

(a)

Step 1. Determine the functional form the wave function that satisfies the Schrodinger Equation.

Step 2. Apply Boundary condition.

Step 3. Normalize the wave function

Step 4. Determine the potential energy

Step 5. Determine the probability density.

(b) Determine the potential energy (step 4)

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