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Smallest Value for E

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An atomic particle is confined inside a rectangular box of sides a, b, c. The particle is described by a wave function that satisfies the Schrodinger wave equation
[see the attachment]

The wave function is required to vanish at each surface of the box (but not identically zero). This condition imposes constraints on the separation constants and therefore on the energy E. What is the smallest value of E for which such a solution can be obtained.

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Solution Summary

We write down the solution to Schrodinger's equation for an arbitrary rectangular box and find the minimum energy of a particle in such a box.

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An atomic particle is confined inside a rectangular box of sides a, b, and c. The particle is described by a wave function that satisfies the Schrodinger wave equation:

The wave function is required ...

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