Uncertainty

Frequency-time uncertainty relation

Frequency-time uncertainty relation
  1. What is the relation for uncertainty principle?
  2. Is uncertainty principle H 2pi or H 4pi?
  3. What is the relationship between the uncertainty principle and Fourier transforms?
  4. What is time uncertainty?

What is the relation for uncertainty principle?

The uncertainty principle is alternatively expressed in terms of a particle's momentum and position. The momentum of a particle is equal to the product of its mass times its velocity. Thus, the product of the uncertainties in the momentum and the position of a particle equals h/(4π) or more.

Is uncertainty principle H 2pi or H 4pi?

Δp≥4πh shows Heisenberg's uncertainty principle. According to this principle, it is not possible to determine simultaneously the position and momentum of a moving microscopic particle (electron) with absolute accuracy.

What is the relationship between the uncertainty principle and Fourier transforms?

In general, uncertainty principles refer to a meta-theorem in Fourier analysis that states that a nonzero function and its Fourier transform cannot be localized to arbitrary precision [1].

What is time uncertainty?

Here the 'uncertainty' in time is expressed as the average time taken, starting in state ψ, for the expectation of some arbitrary observable A to change by its standard deviation.

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