Particle moving in x and theta

[NEWO]

How would one derive the hamiltonian for a particle moving in a potential in the x direction whilst also rotating with an angle of theta??

I have tried deriving it the same way as the TISE using the angular momentum operator in 2d space but to no avail

basically the particle is moving through a potential with an integer spin.

would appreciate any pointers

Newo

 

[Sojourner01]

x and theta are not independent coordinates - there are spherical polar and cartesian hamiltonians, but deriving a hybrid of both would be obscene.

Parametrise the particle's motion into either spherical polar or cartesian coordinates, first.