Consider a charged particle in the one-dimensional harmonic oscil- lator potential. suppose we turn on a weak electric field (e) so that the potential energy is shifted by an amount h' -qex (a) show that there is no first-order change in the energy levels, and calculate the second-order correction. hint: see problem 3.50. (b) the schrödinger equation can be solved exactly in this case by a change of variables: xx-(qe/mw2). find the exact energies, and show that they are consistent with the perturbation theory approximation

Fitness is the ability to perform only very light levels of physical activity.

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Jenny and fred both play a long note on their trombones. a stationary observer hears the sound increasing and decreasing repeatedly in loudness. which of these must be true? the sound waves from the two trombones have slightly different frequencies.the sound waves from the two trombones have the same frequency.the sound waves from the two trombones have slightly different amplitudes.the sound waves from the two trombones have the same wavelength.the sound waves from the two trombones have slightly different velocities.  lolthe answer is          the sound waves from the two trombones have slightly different frequencies.