User:Boris Tsirelson/Sandbox1: Difference between revisions

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The [[Heisenberg Uncertainty Principle|[Heisenberg uncertainty principle]] for a particle in one dimension does not allow a state in which the particle is simultaneously at a definite location and has also a definite momentum. Instead the particle has a range of momentum and spread in location attributable to quantum fluctuations.
The [[Heisenberg Uncertainty Principle|Heisenberg uncertainty principle]] for a particle in one dimension does not allow a state in which the particle is simultaneously at a definite location and has also a definite momentum. Instead the particle has a range of momentum and spread in location attributable to quantum fluctuations.


An uncertainty principle applies to most of quantum mechanical operators that do not commute (specifically, to every pair of operators whose commutator is a non-zero scalar operator).
An uncertainty principle applies to most of quantum mechanical operators that do not commute (specifically, to every pair of operators whose commutator is a non-zero scalar operator).

Revision as of 13:50, 30 November 2010

The Heisenberg uncertainty principle for a particle in one dimension does not allow a state in which the particle is simultaneously at a definite location and has also a definite momentum. Instead the particle has a range of momentum and spread in location attributable to quantum fluctuations.

An uncertainty principle applies to most of quantum mechanical operators that do not commute (specifically, to every pair of operators whose commutator is a non-zero scalar operator).