Lect02_[Compatibility_Mode]

Lect02_[Compatibility_Mode] - Physics 344 Foundations of...

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Physics 344 Foundations of 21 st Century Physics: Relativity, Quantum Mechanics and heir Applications Their Applications Instructor: Dr. Mark Haugan Office: PHYS 282 [email protected] TA: Dan Hartzler Office: PHYS 7 [email protected] Grader: Shuo Liu Office: PHYS 283 [email protected] Office Hours: If you have questions, just email us to make an ppointment e enjoy talking about physics! appointment. We enjoy talking about physics! Notices: See me about registering your iClicker for class, if you haven’t already! First recitation sessions tomorrow in PHYS 234 at 1:30 and 2:30. Check your schedule for which to attend.
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Because most of the physical systems you have analyzed in previous courses have had slowly moving parts you may have gotten used to working with with the nonrelativistic limits of fundamental principles and definitions like mv m v G G G 22 1| |/ pm vc γ≡ G without consciously thinking about making nonrelativistic approximations like GG as you construct your models the situations. One of the reasons we went through the final example last lecture was to p mv gp make this point. In the coming weeks we will be dealing with situations in which familiar Newtonian ideas are inadequate, so, we will have to be very careful to avoid using them without thinking as we develop and learn to use instein’s theory of special relativity in the coming weeks Einstein s theory of special relativity in the coming weeks. Another reason we went through that final example was to work explicitly with an inertial coordinate system. You have used such coordinate systems utinely in your work in previous courses but perhaps without thinking too routinely in your work in previous courses but, perhaps, without thinking too carefully about what it means for a coordinate system to be “inertial”.
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In chapter 1 the text discusses in detail what inertial coordinate systems are because they play a role in stating the overarching fundamental Principle of Relativity The laws of physics have the same form in all inertial oordinate systems coordinate systems. To expand on what the text has to say about such coordinate systems and about why we believe the Principle of Relativity is a fundamental principle of physics, we analyze a simple experiment designed to test whether or not particle energies and momenta really are related to particle velocity by 2 and pm v Em c γ == G G We’ve said that these are fundamental relativistic definitions relating particle energy, momentum and velocity in an inertial coordinate system. As we develop and explore special relativity, we will come to understand how these specific definitions follow from the Principle of Relativity and the other fundamental principles and definitions governing the way our Universe works.
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Measuring Particle Velocity The expressions relating momentum, energy and velocity that we want to test all involve quantities measured in an inertial coordinate system, so, we review the nature of such systems as we describe the experimental set up.
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This note was uploaded on 11/26/2010 for the course PHYS 344 taught by Professor Garfinkel during the Spring '08 term at Purdue.

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Lect02_[Compatibility_Mode] - Physics 344 Foundations of...

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