{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

L08 - The Heisenberg Uncertainty Principle 1927 Heisenberg...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
    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
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
    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 
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern