The spacing between energy levels of the mass-spring system and convince your friend about quantum effects in mass-spring oscillator system.

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Could someone explain to me in detail why bringing a crystal substance to absolute zero isn't possible? I know it's not because of quantum mechanics and uncertainty like some people say, because particals at their lowest zero-point will have a temperature of exactly 0 K, even though they're still experiencing motion. From what I've gathered, the energy or time required to pull it off is infinite, but I can't find any equations or clear explanations as to why or how that is. And I also don't know if there's any other reasons beyond that. If you could give me a thourough a breakdown for how absolute zero is impossible as you possibly could, I'd greatly appreciate it. Take as much extra time as you need. As long as it's detailed and correct I'm happy. Though ideally I would before it come in before the end of the day.

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Chapter 35, Problem 28E

To determine

The spacing between energy levels of the mass-spring system and convince your friend about quantum effects in mass-spring oscillator system.

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Could someone explain to me in detail why bringing a crystal substance to absolute zero isn't possible? I know it's not because of quantum mechanics and uncertainty like some people say, because particals at their lowest zero-point will have a temperature of exactly 0 K, even though they're still experiencing motion. From what I've gathered, the energy or time required to pull it off is infinite, but I can't find any equations or clear explanations as to why or how that is. And I also don't know if there's any other reasons beyond that. If you could give me a thourough a breakdown for how absolute zero is impossible as you possibly could, I'd greatly appreciate it. Take as much extra time as you need. As long as it's detailed and correct I'm happy. Though ideally I would before it come in before the end of the day.

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