Recent content by starryskiesx
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What is the Lagrangian for a Mouse on a Rotating Wheel?
Homework Statement A mouse of mass m runs around the inner circumference of a vertical wheel which is free to rotate about the centre. The wheel has mass M and moment of inertia I. Let θ be the angle that the radius vector makes to the mouse from the downward vertical at time t. Write down the...- starryskiesx
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- Lagrangian Wheel
- Replies: 1
- Forum: Advanced Physics Homework Help
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Graduate Finding Potential Energy for a Chain on Pulley System
Hi there, I'm having some problems trying to write down the Lagrangian of the following system: A uniform flexible chain of mass M and length L is hung under gravity on a frictional pulley of radius a and moment of inertia I whose axle is fixed at a point above the ground. Write down the...- starryskiesx
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- Chain Lagrangian Pulley
- Replies: 1
- Forum: Mechanics
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Graduate Quick Matrix Element Question using Hermitian Operator
So it appears I have a bigger problem! |1> and |2> are eigenstates of the hamiltonian, my system is that of a harmonic oscillator. What I'm trying to prove is that <1|P|2> = -imw<1|X|2>, starting with the matrix element [P,H] where H is the hamiltonian. I thought I could do this just by...- starryskiesx
- Post #5
- Forum: Quantum Physics
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Graduate Quick Matrix Element Question using Hermitian Operator
Great, thank you for the help- starryskiesx
- Post #3
- Forum: Quantum Physics
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Graduate Quick Matrix Element Question using Hermitian Operator
Hi there, This should be very simple... If I have a state <1|AB|2> where A and B are Hermitian operators, can I rewrite this as <2|BA|1> ? That would be, taking the complex conjugate of the matrix element and saying that A*=A and B*=B. Thank you!- starryskiesx
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- Element Hermitian Hermitian operator Matrix Operator
- Replies: 6
- Forum: Quantum Physics
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Undergrad Throttling Ideal Gas: Is Temperature Change Involved?
A quick question about throttling: I've read that for an ideal gas, if you force it through a capillary into a vacuum and allow it to equilibrate, it will experience no temperature change. I was wondering if this is correct, and if anything changes when you're forcing it through with a piston...- starryskiesx
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- Gas Ideal gas
- Replies: 2
- Forum: Thermodynamics