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PrudensOptimus
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WE all know that:
dE dt >= h/2pi
or
dS dt >= h/2pi
But... mathematically, what does that mean?
dE dt >= h/2pi
or
dS dt >= h/2pi
But... mathematically, what does that mean?
Originally posted by PrudensOptimus
so this means ∫x dp >= h/4pi??
Originally posted by PrudensOptimus
WE all know that:
dE dt >= h/2pi
or
dS dt >= h/2pi
But... mathematically, what does that mean?
That is incorrect. There is no reason that an uncertainty can't be zero. If dx is zero that means that there is zero knowledge of p.The point is that neither of those quanities can be zero.
Originally posted by meteor
It's not the HUP dx*dp>=~(h/(2*pi))? At least is how it appears in my book "Quantum theory" of David Bohm
Originally posted by jcsd
Most of the time it can be assumed that:
ΔxΔpx ≈ h/2π
Originally posted by pmb
That is incorrect. There is no reason that an uncertainty can't be zero. If dx is zero that means that there is zero knowledge of p.
Of course dx is not an infinitesimal x - its an uncertainty in x. Big difference.
Pete
Originally posted by Integral
Setting either of those quanities to zero violates the HUP.
Setting either does not violate HUP. E.g. if the uncertainty in x is zero and the uncertainty in px is infinite then the equality is satisfied. Why do you think 0 energy is forbidden?Originally posted by Integral
Setting either of those quanities to zero violates the HUP. Isn't this a good protion of the argument for zero point energy? The fact that 0 energy is forbidden by the HUP?
The Uncertainty Principle, also known as Heisenberg's Uncertainty Principle, is a fundamental concept in quantum mechanics that states it is impossible to precisely measure certain pairs of physical quantities, such as position and momentum, at the same time.
The Uncertainty Principle works by establishing a limit to the precision with which certain physical quantities can be measured simultaneously. This is due to the wave-like nature of particles at the quantum level, where the act of measuring one quantity will inevitably disturb the other quantity being measured.
Yes, the Uncertainty Principle is considered a universal law in quantum mechanics. It applies to all particles, regardless of their size or energy level, and has been proven to hold true in numerous experiments.
The Uncertainty Principle has several implications, including the inability to precisely predict the behavior of particles at the quantum level and the limitations it places on our ability to measure and understand the fundamental nature of the universe.
No, the Uncertainty Principle cannot be overcome. It is a fundamental principle in quantum mechanics that is deeply rooted in the nature of our universe. However, scientists have developed techniques, such as quantum entanglement, to mitigate the effects of the Uncertainty Principle and improve the precision of measurements.