Particle in a box quantum mechanics

Thread starter Pushoam
Start date Dec 27, 2017
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Box Mechanics Particle Particle in a box Quantum Quantum mechanics

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The discussion focuses on the energy levels of a particle in a box in quantum mechanics, specifically addressing the relationship between energy and quantum number, where energy is proportional to the square of the quantum number (E ∝ n²). The participants analyze the equation for the relative uncertainty in energy, concluding that in the limit of large quantum numbers, the ratio ΔE/E approaches 2/n. There is a suggestion that option (a) is likely the correct answer, although there is some consideration for option (d) due to the vague phrasing of the question. Overall, the clarity of the problem statement is questioned, which may affect the interpretation of the answers. The discussion highlights the complexities involved in quantum mechanics problem-solving.

Dec 27, 2017

Pushoam

Homework Statement

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The Attempt at a Solution

## E \propto n^2 ##

## \frac { \Delta E} E = \frac { 2n +1} {n^2} ##

In the limit of large quantum number, ## \frac { \Delta E} E = \frac { 2} {n} ##, option (a).

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Dec 27, 2017

kuruman

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Looks good.

Dec 27, 2017

PeroK

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That is probably the answer they are looking for. Perhaps there is a case for d). The question is phrased very sloppily.

Dec 27, 2017

Pushoam

Thanks.

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