Heisenberg uncertainty principle


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Related to Heisenberg uncertainty principle: Pauli exclusion principle

Heisenberg uncertainty principle

[′hīz·ən·bərg ən′sərt·ən·tē ‚prin·sə·pəl]
(quantum mechanics)
References in periodicals archive ?
This derivation demonstrates that the Heisenberg Uncertainty Principle arises because x and p form a Fourier transform pair of variables.
This argument elucidates why the Heisenberg Uncertainty Principle exists.
Omnes ascribes this seeming violation of the Heisenberg Uncertainty Principle to the fact that time is not an observable obtained from an operator like momentum, but rather a parameter.
What Omnes' example shows is that the impact of the effective widths [DELTA]t and [DELTA]E of the Heisenberg Uncertainty Principle depends on the observation of the time function t and of the energy function E that is performed.
A more stringent scenario for the impact of the energy-time Heisenberg Uncertainty Principle is one where the time and energy functions are small quantities.
The lower-bound limit is similar to how the Heisenberg Uncertainty Principle is usually expressed when it is used as a measurement principle, although it is not strictly equivalent.
This is a surprising result as the momentum can be resolved up to its Nyquist value, in apparent contradiction to the Heisenberg Uncertainty Principle.
This improved understanding of the Heisenberg Uncertainty Principle and its sampling counterpart allows us to clarify its interpretation.
Indeed, the Nyquist-Shannon Sampling Theorem of Fourier Transform theory shows that the range of values of variables below the Heisenberg Uncertainty Principle value of h/2 is accessible under sampling measurement conditions, as demonstrated by the Brillouin zones formulation of Solid State Physics.
7 Overlap of the Heisenberg Uncertainty Principle and the Nyquist-Shannon Sampling Theorem
The Nyquist-Shannon Sampling Theorem can thus be considered to cover the range that the Heisenberg Uncertainty Principle excludes.