Question

Q.2)(20p) Consider a charged oscillator, of positive charge $q$ and mass $m$, which is subject to an oscillating electrical field $E_0 Sin(omega t)$. Hamiltonian of the particle is $H = frac{p^2}{2m} + frac{1}{2}kx^2 + qE_0 x Sin(omega t)$. Calculate $frac{d}{dt}langle P angle$ and $frac{d}{dt}langle H angle$.

          Q.2)(20p) Consider a charged oscillator, of positive charge $q$ and mass $m$, which is subject to an oscillating electrical field $E_0 Sin(omega t)$. Hamiltonian of the particle is $H = frac{p^2}{2m} + frac{1}{2}kx^2 + qE_0 x Sin(omega t)$. Calculate $frac{d}{dt}langle P 
angle$ and $frac{d}{dt}langle H 
angle$.

$Q.2)(20p) Consider a charged oscillator, of positive charge q and mass m, which is subject to an oscillating electrical field E0 Sin(omega t). Hamiltonian of the particle is H = fracp^22m + frac12kx^2 + qE0 x Sin(omega t). Calculate fracddtlangle P angle and fracddtlangle H angle.$

Added by Robert G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

12/14/2022

Step 1

\[ H = \frac{p^2}{2m} + \frac{1}{2}kx^2 + qE_0 x \sin(\omega t) \] Show more…

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Consider a charged oscillator, of positive charge q and mass m, which is subject to an oscillating electrical field E0Sin(wt). The Hamiltonian of the particle is H = p^2/2m + 1/2 kx^2 + qE0 x Sin(wt). Calculate d/dt <P> and d/dt <H>.