385lec31 - PHYS 385 Lecture 31 - Rotational motion Lecture...

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PHYS 385 Lecture 31 - Rotational motion 31 - 1 ©2003 by David Boal, Simon Fraser University. All rights reserved; further copying or resale is strictly prohibited. Lecture 31 - Rotational motion What's important : Schrodinger equation for rigid rotator quantization of rotational motion Text : Gasiorowicz, Chap. 11 In second year mechanics, we described how the motion of a rotating object could be separated into a centre-of-mass component and a rotational component involving the moment of inertia I . We first review this for rigid bodies, then appropriately modify the 3D Schrödinger equation for a freely rotating object in the absence of an external potential. Rotational kinetic energy In second year mechanics courses, if not first year, it is established that the total kinetic energy K tot of a system can be decomposed into the kinetic energy of the centre of mass, K cm = M tot V cm 2 /2 and the kinetic energy of the individual components of the object, relative to the cm position, K rot = Σ i m i v * i 2 /2, where M tot = Σ i m i V cm = M tot -1 Σ i m i v i . For now, we work in a discrete, rather than continuous, representation, in part because
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This note was uploaded on 09/07/2009 for the course PHYS 385 taught by Professor Davidboal during the Spring '09 term at Simon Fraser.

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385lec31 - PHYS 385 Lecture 31 - Rotational motion Lecture...

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