L08 - The Heisenberg Uncertainty Principle, 1927 Heisenberg...

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    The Heisenberg Uncertainty Principle, 1927 Werner Heisenberg (1901-1976) Heisenberg showed that one of the consequences  of the wave-particle duality of matter was that the  position and the momentum (mass x speed) of a  particle cannot be simultaneously determined  exactly . This statement is encapsulated in the equation:  x  is the  uncertainty  in the particle position,  ( mu is the  uncertainty  in the particle momentum For a macroscopic object, the number  h /4 π  is too  small to be noticeable. For atomic and subatomic  particles it can be significant. If the position of a particle is known with high  precision, its momentum is undefined. If its  momentum is known, its position is undefined. x ⋅ mu ≥ h 4
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    The Heisenberg Uncertainty Principle Werner Heisenberg (1901-1976) The uncertainty principle is sometimes explained  as the statement that the measurement of a  particle’s position necessarily disturbs its  momentum and vice versa. This suggests that the 
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This note was uploaded on 04/20/2008 for the course CHEM 111 taught by Professor Grzegorz during the Spring '08 term at Colorado State.

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L08 - The Heisenberg Uncertainty Principle, 1927 Heisenberg...

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