Proving Unachievability of Absolute Zero: Uncertainty Principle

AI Thread Summary
The discussion centers on the implications of the uncertainty principle in relation to absolute zero, asserting that it cannot be achieved because particles cannot possess exactly zero energy. It is explained that the ground state energy of a system, which is the lowest energy state, is not zero, thus precluding the possibility of reaching absolute zero. Additionally, it is clarified that quantum mechanical effects ensure that atoms will still exhibit motion even at absolute zero, countering the misconception that this state equates to complete stillness. The definition of absolute zero is debated, with some equating it to zero kinetic energy and no motion. Overall, the conversation emphasizes the fundamental limitations imposed by quantum mechanics on achieving absolute zero.
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Is the uncertainty principle enough to prove that absolute zero is unachievable? i.e. a particle can't be said to have exactly zero energy, because it can't be said to have exactly any amount of energy.
 
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The uncertainty principle relates tells us how we can relate two quantities we can measure.

A better way to understand is that for any given wave function in a determinant state of the Hamiltonian the lowest amount of energy is the ground state. If the ground state energy is not zero then it can't be absolute zero by default.
 
No, but quantum mechanical effects mean that things (=atoms etc) will move even AT absolute zero (it is a common misconception that absolute zero means no motion).
 
f95toli said:
No, but quantum mechanical effects mean that things (=atoms etc) will move even AT absolute zero (it is a common misconception that absolute zero means no motion).

Well how are you defining absolute zero?
 
I would think "zero kinetic energy" and thus "zero motion", no?
 
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