{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lect16 - PHYS 172 Modern Mechanics Lecture 16 Multiparticle...

Info icon This preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
Fall 2011 PHYS 172: Modern Mechanics Lecture 16 – Multiparticle Systems Read 9.1 – 9.4 1
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
Quantizing two interacting atoms E = 1 2 mv 2 + 1 2 kx 2 = 1 2 kA max 2 Any value of A is allowed any E is possible. Classical harmonic oscillator: Quantum harmonic oscillator: U = k s s 2 1 0 0 E E ! = + ! 2 0 0 2 E E ! = + ! U = k s s 2 Energy levels: 1 0 0 2 N E N ! ! = + ! ! 0 / s k m ! = 34 1.05 10 J s 2 h ! " # = $ % ! 0 s k m ! = ! ! 1 0 0 2 E ! = ! equidistant spacing ground state 2
Image of page 2
Time to Throw Things BALL We need to understand Center of Mass BATON 3
Image of page 3

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

View Full Document Right Arrow Icon
The Center of Mass where This is a weighted average of the positions -- each position appears in proportion to its mass 4
Image of page 4
1 r ! 3 r ! 2 r ! cm r ! 1 1 2 2 3 3 1 2 3 cm m r m r m r r m m m + + + ! + + + ! ! ! " ! " The Center of Mass 5
Image of page 5

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

View Full Document Right Arrow Icon
Motion of the Center of Mass 1) Take one time derivative: Same as: (Good!) 6
Image of page 6
Motion of the Center of Mass 1) Take a second time derivative: This says that the motion of the center of mass looks just like what would happen if all forces were applied to the total mass, as a point particle located at the center of mass position!
Image of page 7

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

View Full Document Right Arrow Icon
Image of page 8
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