What Happens to a Charged Particle When Its Oscillator Potential Vanishes?

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In summary, the question asks what would happen to a charged particle in the ground state of a one-dimensional harmonic oscillator potential when the potential suddenly disappears. The answer can be found by analyzing the wave function under the free particle potential. The book "Griffiths" may provide more information on this topic.
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relativist
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Can anybody please provide a detailed answer to this question ? :

"A charged particle is in the ground state of a one dimensional harmonic oscillator potential generated by electrical means. If the power is suddenly switched off, so that the potential dissappears, then what would happen according to quantum mechanics ?"

I have been reading through Griffiths for a few days now but have not been find an answer to this question. I would be very glad if anybody is able to refer me to a book that explains this situation clearly.

Thanks,

Relativist
 
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What you are supposed to do here is take the wave function for the ground state of the harmonic oscillator and then see how that wave function would evolve over time under the free particle potential (V = 0).
 
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1. What is "sudden removal of potential"?

The sudden removal of potential is the abrupt decrease or loss of possibility, opportunity, or potential for growth or success.

2. What causes sudden removal of potential?

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3. How does sudden removal of potential affect individuals or organizations?

Sudden removal of potential can have a significant impact on individuals or organizations as it can lead to feelings of disappointment, frustration, or uncertainty. It can also affect future plans and goals and may require adaptation or change of strategies.

4. Can sudden removal of potential be prevented?

While it is not always possible to prevent sudden removal of potential, being aware of potential risks and having contingency plans in place can help minimize its impact. Building resilience and adaptability can also help individuals and organizations cope with unexpected changes.

5. How can individuals or organizations recover from sudden removal of potential?

The recovery process can vary depending on the specific situation, but some strategies to overcome sudden removal of potential may include reassessing goals and finding new opportunities, seeking support from others, and learning from the experience to prevent similar situations in the future.

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