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...
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...
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...
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!
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...