Recent content by tphysicsb

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    Solving a Linear Time-Dependent Hamiltonian Problem

    I failed to realize p is also a function of time and i need to integrate it with respect to t as well. i.e. ∫ p(knot) + 1/2 mAt^2 dt
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    Solving a Linear Time-Dependent Hamiltonian Problem

    Homework Statement Suppose the potential in a problem of one degree of freedom is linearly dependent on time such that the Hamiltonian has the form: H= p^2/2m - mAtq where m is the mass of the object and A is contant Using Hamilton's canonical equations that are give below. Find the...
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    Mass Confined to Rotating Hoop with Moment of Inertia I3

    [b]1. Homework Statement A particle of mass can slide without friction on the inside of a small tube bent in a circle of radius r. The tube can rotate freely about the vertical axis, x3, and has a moment of inertia I3 about this axis. Homework Equations a) Derive the Hamiltonian for...