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uncertainty principle

Definitions

  • WordNet 3.6
    • n uncertainty principle (quantum theory) the theory that it is impossible to measure both energy and time (or position and momentum) completely accurately at the same time
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Usage

In literature:

But even if a man lives rigorously up to his principles and knowledge, there are other elements that bring in uncertainty.
"The Leopard Woman" by Stewart Edward White
And how far it is possible to push these philosophical principles of doubt and uncertainty?
"An Enquiry Concerning Human Understanding" by David Hume
Within our own Empire this uncertainty as to the limitations of our political principles may at any moment produce actual disaster.
"Human Nature In Politics" by Graham Wallas
There is no confusion of counsel among the adversaries of the Central Powers, no uncertainty of principle, no vagueness of detail.
"President Wilson's Addresses" by Woodrow Wilson
Complete uncertainty reigns as to the main principles of biology.
"Form and Function" by E. S. (Edward Stuart) Russell
Now Class A First Degree Uncertainty involves only the deepest, broadest principles.
"The Ultimate Weapon" by John Wood Campbell
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In news:

The uncertainty principle and human behavior.
The principle, and the comedy, of the wry Norwegian import Kitchen Stories is indeed that of uncertainty.
New Detector May Test Heisenberg 's Uncertainty Principle.
The Obama Uncertainty Principle .
New Detector May Test Heisenberg's Uncertainty Principle .
Teams that thrive during uncertainty have developed these three basic principles.
Werner Heisenberg's uncertainty principle is a fundamental part of modern physics.
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In science:

Problem 5(H): Use the uncertainty principle to show that the time, ∆τ, over which γ ∗ (q) is absorbed by a quark is ∆τ ≈ 2xP /Q2 .
Parton Saturation-An Overview
Our classical results for the branching statistics can be directly applied to the quantum context once we understand the smoothing scale beff implied by the uncertainty principle in the quantum case.
Statistics of branched flow in a weak correlated random potential
Such labels are not sub ject to the Heisenberg uncertainty principle. E.g. a one-dimensional harmonic oscillator may have hxi = 0 and hpi = 0.
Inferences from Bose-Einstein correlations in multiple particle production processes
We now generalize the above research to a general quantum uncertainty principle.
Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter
Eq.(14) is the uncertainty principle in quantum mechanics.
Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter
Application of Quantum Uncertainty Principle to Stability of Condensed Matter According to classical electromagnetism, nucleuses are surrounded by rotating electrons.
Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter
Based on the general considerations of quantum mechanics and gravity the generalized uncertainty principle (GUP) is determined in higher-dimensional case and on the brane, respectively.
GUP in presence of extra dimensions and lifetime of mini black holes
We are interesting in building of classical dynamics which allows one to deal with some remnants of the quantum uncertainty principle and its various consequences.
Arrow of time in generalized quantum theory and its classical limit dynamics
The generalized uncertainty principle has been described as a general consequence of incorporating a minimal length from a theory of quantum gravity.
Quantum Mechanics and the Generalized Uncertainty Principle
The minimal length in the theory is governed by the parameter α, and the generalized uncertainty principle in Eq. (1) shows that there is a minimum dispersion ∆x for any value of ∆p at least as long as the first two terms on the right hand side are considered.
Quantum Mechanics and the Generalized Uncertainty Principle
Most of the research does not attempt to derive the uncertainty principle from quantum gravity explicitly.
Quantum Mechanics and the Generalized Uncertainty Principle
The subtle issue of an uncertainty principle involving the phase operator was subsequently discussed in a classic paper, Ref. .
Quantum Mechanics and the Generalized Uncertainty Principle
There, Hermitian cosine and sine operators were defined and various uncertainty principles were suggested.
Quantum Mechanics and the Generalized Uncertainty Principle
It is this limit of a large radius that will most concern us here, as we will show how the usual Heisenberg uncertainty principle expressed in terms of ∆x and ∆p on the line get modified in the large radius limit in which the corrections should be small.
Quantum Mechanics and the Generalized Uncertainty Principle
This extends the generalized uncertainty principle in Eq. (1), at least for this simple case, to physical situations that do not require the “extra” terms to be subleading in magnitude.
Quantum Mechanics and the Generalized Uncertainty Principle
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