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Results tagged with phase-space
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user 128561
A notional even-dimensional space representing all relevant states of a dynamical system; it normally consists of all components of position and momentum/velocity involved in that unique specification. Use for both classical and quantum physics.
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Help finding equations of motion from Hamiltonian with integral of motion
I've given this Hamiltonian with one degree of freedom:
$$
H(x,p)=\frac{p^2}{2}+\frac{\omega_0^2x^2}{2}+\lambda\left(\frac{p^2}{2}+\frac{\omega_{0}^2x^2}{2}\right)^2
$$
I need to find the general solu …
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