(adsbygoogle = window.adsbygoogle || []).push({}); Particle of mass m moves in two dimensionas un der the influence of a potential V(x,y) = kxy where K > 0 (not a cetnral potential)

a) Determine the momenta conjugate to the coordiante x,y of this system and Hamiltonian punction of this system (in terms of the coordiante and conjugate momenta). Explian whether the Hamilton is a constant of motion

[tex] H = \frac{1}{2m} (p_{x}^2 + p_{y}^2} + kxy [/tex]

wouldnt hte momenta simply be [tex] p_{q} = m\dot{q}[/tex] where q is a coordinate?

well the Hamitlon doesnt dependa on timte epxlicitly so it is constnat of motion

so far so good?

thank you for ANY help

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# Particle in a potential

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